%PDF-1.6
%
1 0 obj
<>
endobj
2 0 obj
<>stream
Spyros Makridakis, Evangelos Spiliotis, Vassilios Assimakopoulos
Statistical and Machine Learning forecasting methods: Concerns and ways forward
www.plosone.org
www.plosone.org
endstream
endobj
3 0 obj
<>/XObject<>>>/CropBox[0 0 612 792]/MediaBox[0 0 612 792]/Parent 10 0 R/Annots 11 0 R/Contents 12 0 R/TrimBox[0 0 612 792]>>
endobj
11 0 obj
[13 0 R 14 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 20 0 R 21 0 R 22 0 R]
endobj
13 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref009)>>
endobj
14 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref012)>>
endobj
15 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref013)>>
endobj
16 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref014)>>
endobj
17 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
18 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref016)>>
endobj
19 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
20 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref017)>>
endobj
21 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref018)>>
endobj
22 0 obj
<>/Border[0 0 0]/A 23 0 R>>
endobj
23 0 obj
<>
endobj
12 0 obj
[24 0 R 25 0 R 26 0 R 27 0 R 28 0 R 29 0 R 30 0 R 31 0 R 32 0 R]
endobj
24 0 obj
<>stream
q
0.83 0.64 0.02 0 k
468.0567 706.337 m
472.8189 706.337 l
h
f*
477.978 706.337 m
487.5024 706.337 l
h
f*
403.7669 448.3276 m
413.2913 448.3276 l
h
f*
451.5024 422.3055 m
461.0268 422.3055 l
h
f*
378.822 331.3134 m
388.3465 331.3134 l
h
f*
552.8126 331.3134 m
562.337 331.3134 l
h
f*
329.4425 305.348 m
338.9669 305.348 l
h
f*
226.0346 292.3087 m
235.5591 292.3087 l
h
f*
421.9654 175.3512 m
431.4898 175.3512 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 200.0125 707.4141 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(regarding)Tj
4.0932 0 Td
(their)Tj
2.1089 0 Td
(relative)Tj
3.1351 0 Td
(performance)Tj
5.3518 0 Td
(as)Tj
1.0148 0 Td
(a)Tj
0.652 0 Td
(standard)Tj
3.7247 0 Td
(forecasting)Tj
4.6034 0 Td
(tool)Tj
1.7801 0 Td
([)Tj
0.83 0.64 0.02 0 k
(9)Tj
0 g
()Tj
0.83 0.64 0.02 0 k
(12)Tj
0 g
(].)Tj
3.0671 0 Td
(Their)Tj
2.4208 0 Td
(superiority)Tj
-31.9519 -1.3039 Td
(claims)Tj
2.7722 0 Td
(are)Tj
1.4457 0 Td
(characterized)Tj
5.5615 0 Td
(by)Tj
1.1792 0 Td
(the)Tj
1.4684 0 Td
(following)Tj
3.9798 0 Td
(three)Tj
2.2677 0 Td
(major)Tj
2.6078 0 Td
(limitations:)Tj
-21.2823 -1.8992 Td
()Tj
0.7823 0 Td
(Their)Tj
2.4208 0 Td
(conclusions)Tj
4.9379 0 Td
(are)Tj
1.4513 0 Td
(based)Tj
2.4718 0 Td
(on)Tj
1.2756 0 Td
(a)Tj
0.652 0 Td
(few,)Tj
1.8425 0 Td
(or)Tj
1.0998 0 Td
(even)Tj
2.0693 0 Td
(a)Tj
0.652 0 Td
(single)Tj
2.5341 0 Td
(time)Tj
2.0296 0 Td
(series,)Tj
2.6532 0 Td
(raising)Tj
2.931 0 Td
(questions)Tj
4.0195 0 Td
(about)Tj
2.4945 0 Td
(the)Tj
-35.5349 -1.2982 Td
(statistical)Tj
3.9061 0 Td
(significance)Tj
4.9379 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4684 0 Td
(results)Tj
2.8119 0 Td
(and)Tj
1.7292 0 Td
(their)Tj
2.1089 0 Td
(generalization.)Tj
-18.7595 -1.8992 Td
()Tj
0.7823 0 Td
(The)Tj
1.7802 0 Td
(methods)Tj
3.685 0 Td
(are)Tj
1.4513 0 Td
(evaluated)Tj
3.9855 0 Td
(for)Tj
1.389 0 Td
(short-term)Tj
4.5467 0 Td
(forecasting)Tj
4.6091 0 Td
(horizons,)Tj
3.9458 0 Td
(often)Tj
2.2847 0 Td
(one-step-ahead,)Tj
6.5763 0 Td
(not)Tj
-34.2536 -1.2983 Td
(considering)Tj
4.9266 0 Td
(medium)Tj
3.6056 0 Td
(and)Tj
1.7348 0 Td
(long-term)Tj
4.2463 0 Td
(ones.)Tj
-15.2956 -1.9049 Td
()Tj
0.7823 0 Td
(No)Tj
1.4627 0 Td
(benchmarks)Tj
5.1307 0 Td
(are)Tj
1.4513 0 Td
(used)Tj
2.0579 0 Td
(to)Tj
1.0262 0 Td
(compare)Tj
3.7133 0 Td
(the)Tj
1.474 0 Td
(accuracy)Tj
3.7077 0 Td
(of)Tj
1.0148 0 Td
(ML)Tj
1.6554 0 Td
(methods)Tj
3.6851 0 Td
(versus)Tj
2.7155 0 Td
(alternative)Tj
4.422 0 Td
(ones.)Tj
-33.1027 -1.8992 Td
(The)Tj
1.7858 0 Td
(objective)Tj
3.7814 0 Td
(of)Tj
1.0148 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(is)Tj
0.8504 0 Td
(the)Tj
1.4684 0 Td
(same)Tj
2.2563 0 Td
(as)Tj
1.0148 0 Td
(that)Tj
1.7802 0 Td
(of)Tj
1.0148 0 Td
(statistical)Tj
3.9061 0 Td
(ones.)Tj
2.2847 0 Td
(They)Tj
2.2394 0 Td
(both)Tj
2.0579 0 Td
(aim)Tj
1.7405 0 Td
(at)Tj
-33.7264 -1.2982 Td
(improving)Tj
4.439 0 Td
(forecasting)Tj
4.6034 0 Td
(accuracy)Tj
3.7134 0 Td
(by)Tj
1.1792 0 Td
(minimizing)Tj
4.9039 0 Td
(some)Tj
2.3357 0 Td
(loss)Tj
1.6951 0 Td
(function,)Tj
3.8495 0 Td
(typically)Tj
3.5659 0 Td
(the)Tj
1.4684 0 Td
(sum)Tj
1.9275 0 Td
(of)Tj
-33.681 -1.2983 Td
(squared)Tj
3.3732 0 Td
(errors.)Tj
2.8459 0 Td
(Their)Tj
2.4208 0 Td
(difference)Tj
4.2066 0 Td
(lies)Tj
1.5193 0 Td
(in)Tj
1.0375 0 Td
(how)Tj
1.9332 0 Td
(such)Tj
2.0636 0 Td
(a)Tj
0.652 0 Td
(minimization)Tj
5.6806 0 Td
(is)Tj
0.8447 0 Td
(done)Tj
2.228 0 Td
(with)Tj
1.9956 0 Td
(ML)Tj
1.6498 0 Td
(methods)Tj
3.685 0 Td
(uti-)Tj
-36.1358 -1.3039 Td
(lizing)Tj
2.4264 0 Td
(non-linear)Tj
4.4674 0 Td
(algorithms)Tj
4.5127 0 Td
(to)Tj
1.0261 0 Td
(do)Tj
1.2586 0 Td
(so)Tj
1.0828 0 Td
(while)Tj
2.3698 0 Td
(statistical)Tj
3.9118 0 Td
(ones)Tj
2.0579 0 Td
(linear)Tj
2.5115 0 Td
(processes.)Tj
4.1952 0 Td
(ML)Tj
1.6498 0 Td
(methods)Tj
3.685 0 Td
(are)Tj
-35.155 -1.2983 Td
(computationally)Tj
6.7464 0 Td
(more)Tj
2.3414 0 Td
(demanding)Tj
4.7848 0 Td
(than)Tj
2.0296 0 Td
(statistical)Tj
3.9061 0 Td
(ones,)Tj
2.2847 0 Td
(requiring)Tj
3.9685 0 Td
(greater)Tj
3.0104 0 Td
(dependence)Tj
5.0059 0 Td
(on)Tj
1.2756 0 Td
(com-)Tj
-35.3534 -1.2982 Td
(puter)Tj
2.3584 0 Td
(science)Tj
3.0897 0 Td
(to)Tj
1.0261 0 Td
(be)Tj
1.1509 0 Td
(implemented,)Tj
5.76 0 Td
(placing)Tj
3.1181 0 Td
(them)Tj
2.2903 0 Td
(at)Tj
0.9525 0 Td
(the)Tj
1.4683 0 Td
(intersection)Tj
4.9606 0 Td
(of)Tj
1.0148 0 Td
(statistics)Tj
3.5886 0 Td
(and)Tj
1.7292 0 Td
(computer)Tj
-32.5075 -1.304 Td
(science.)Tj
1.1962 -1.2982 Td
(The)Tj
1.7858 0 Td
(importance)Tj
4.8302 0 Td
(of)Tj
1.0148 0 Td
(objectively)Tj
4.4787 0 Td
(evaluating)Tj
4.32 0 Td
(the)Tj
1.474 0 Td
(relative)Tj
3.1351 0 Td
(performance)Tj
5.3461 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.6851 0 Td
(in)Tj
-35.4045 -1.2983 Td
(forecasting)Tj
4.6034 0 Td
(is)Tj
0.8504 0 Td
(obvious)Tj
3.3505 0 Td
(but)Tj
1.5534 0 Td
(has)Tj
1.542 0 Td
(not)Tj
1.5761 0 Td
(been)Tj
2.1203 0 Td
(achieved)Tj
3.702 0 Td
(so)Tj
1.0885 0 Td
(far)Tj
1.3153 0 Td
(raising)Tj
2.931 0 Td
(questions)Tj
4.0195 0 Td
(about)Tj
2.4944 0 Td
(their)Tj
2.109 0 Td
(practical)Tj
-33.2558 -1.2982 Td
(value)Tj
2.3073 0 Td
(to)Tj
1.0205 0 Td
(improve)Tj
3.583 0 Td
(forecasting)Tj
4.6091 0 Td
(accuracy)Tj
3.7077 0 Td
(and)Tj
1.7348 0 Td
(advance)Tj
3.4639 0 Td
(the)Tj
1.4683 0 Td
(field)Tj
1.9729 0 Td
(of)Tj
1.0148 0 Td
(forecasting.)Tj
4.8359 0 Td
(Simply)Tj
2.999 0 Td
(being)Tj
2.4321 0 Td
(new,)Tj
-35.1493 -1.304 Td
(or)Tj
1.0941 0 Td
(based)Tj
2.4775 0 Td
(on)Tj
1.2756 0 Td
(AI,)Tj
1.4683 0 Td
(is)Tj
0.8447 0 Td
(not)Tj
1.5761 0 Td
(enough)Tj
3.2201 0 Td
(to)Tj
1.0261 0 Td
(persuade)Tj
3.8041 0 Td
(users)Tj
2.2677 0 Td
(of)Tj
1.0148 0 Td
(their)Tj
2.1033 0 Td
(practical)Tj
3.6397 0 Td
(advantages)Tj
4.5977 0 Td
(over)Tj
1.9786 0 Td
(alternative)Tj
-32.3884 -1.2982 Td
(methods.)Tj
3.9117 0 Td
(A)Tj
0.9014 0 Td
(similar)Tj
2.9877 0 Td
(situation)Tj
3.7304 0 Td
(has)Tj
1.5421 0 Td
(been)Tj
2.1203 0 Td
(reported)Tj
3.6623 0 Td
(by)Tj
1.1792 0 Td
([)Tj
0.83 0.64 0.02 0 k
(13)Tj
0 g
(])Tj
1.8538 0 Td
(for)Tj
1.3833 0 Td
(data)Tj
1.9163 0 Td
(mining)Tj
3.1351 0 Td
(methods,)Tj
3.9117 0 Td
(suggesting)Tj
-32.2353 -1.2983 Td
(among)Tj
2.9933 0 Td
(others)Tj
2.7099 0 Td
(that)Tj
1.7745 0 Td
(novel)Tj
2.4038 0 Td
(approaches)Tj
4.7338 0 Td
(should)Tj
2.9197 0 Td
(be)Tj
1.1508 0 Td
(properly)Tj
3.6283 0 Td
(tested)Tj
2.5512 0 Td
(through)Tj
3.4469 0 Td
(a)Tj
0.652 0 Td
(wide)Tj
2.1203 0 Td
(range)Tj
2.4661 0 Td
(of)Tj
1.0148 0 Td
(diverse)Tj
-34.5654 -1.3039 Td
(datasets)Tj
3.3561 0 Td
(and)Tj
1.7292 0 Td
(comparisons)Tj
5.3404 0 Td
(with)Tj
1.9956 0 Td
(benchmarks.)Tj
5.3574 0 Td
(As)Tj
1.2643 0 Td
(mentioned)Tj
4.5864 0 Td
(by)Tj
1.1792 0 Td
([)Tj
0.83 0.64 0.02 0 k
(14)Tj
0 g
(],)Tj
2.0806 0 Td
(it)Tj
0.7824 0 Td
(should)Tj
2.9197 0 Td
(become)Tj
3.3221 0 Td
(clear)Tj
2.1203 0 Td
(that)Tj
-36.0337 -1.2983 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(are)Tj
1.4457 0 Td
(not)Tj
1.576 0 Td
(a)Tj
0.652 0 Td
(panacea)Tj
3.4356 0 Td
(that)Tj
1.7801 0 Td
(would)Tj
2.7156 0 Td
(automatically)Tj
5.6069 0 Td
(improve)Tj
3.5829 0 Td
(forecasting)Tj
4.6035 0 Td
(accuracy.)Tj
3.9401 0 Td
(Their)Tj
-34.6731 -1.2982 Td
(capabilities)Tj
4.6657 0 Td
(can)Tj
1.6271 0 Td
(easily)Tj
2.4038 0 Td
(generate)Tj
3.6056 0 Td
(implausible)Tj
4.8416 0 Td
(solutions,)Tj
4.0648 0 Td
(leading)Tj
3.1351 0 Td
(to)Tj
1.0262 0 Td
(exaggerated)Tj
4.9492 0 Td
(claims)Tj
2.7723 0 Td
(of)Tj
1.0148 0 Td
(their)Tj
-34.1062 -1.304 Td
(potentials)Tj
4.5127 0 Td
(and)Tj
1.7291 0 Td
(must)Tj
2.228 0 Td
(be)Tj
1.1509 0 Td
(carefully)Tj
3.634 0 Td
(investigated)Tj
4.9889 0 Td
(before)Tj
2.7383 0 Td
(any)Tj
1.6611 0 Td
(claims)Tj
2.7722 0 Td
(can)Tj
1.6214 0 Td
(be)Tj
1.1509 0 Td
(accepted.)Tj
-26.9913 -1.2982 Td
(This)Tj
1.9899 0 Td
(paper)Tj
2.4831 0 Td
(consists)Tj
3.3449 0 Td
(of)Tj
1.0148 0 Td
(three)Tj
2.2677 0 Td
(sections.)Tj
3.634 0 Td
(The)Tj
1.7801 0 Td
(first)Tj
1.8085 0 Td
(briefly)Tj
2.7779 0 Td
(reviews)Tj
3.2032 0 Td
(published)Tj
4.1272 0 Td
(empirical)Tj
3.9911 0 Td
(studies)Tj
-33.6186 -1.2983 Td
(and)Tj
1.7291 0 Td
(investigates)Tj
4.8245 0 Td
(the)Tj
1.4683 0 Td
(performance)Tj
5.3462 0 Td
(of)Tj
1.0148 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(in)Tj
1.0375 0 Td
(comparison)Tj
4.9776 0 Td
(to)Tj
1.0261 0 Td
(statistical)Tj
3.9062 0 Td
(ones,)Tj
2.2847 0 Td
(also)Tj
1.7688 0 Td
(delib-)Tj
-34.7185 -1.3039 Td
(erating)Tj
3.0273 0 Td
(some)Tj
2.3301 0 Td
(major)Tj
2.6079 0 Td
(issues)Tj
2.5228 0 Td
(related)Tj
2.9423 0 Td
(to)Tj
1.0262 0 Td
(forecasting)Tj
4.6091 0 Td
(accuracy.)Tj
3.9344 0 Td
(The)Tj
1.7858 0 Td
(second)Tj
3.0104 0 Td
(part)Tj
1.8425 0 Td
(uses)Tj
1.8935 0 Td
(a)Tj
0.652 0 Td
(subset)Tj
2.6986 0 Td
(of)Tj
-34.8829 -1.2983 Td
(1045)Tj
2.1203 0 Td
(monthly)Tj
3.6226 0 Td
(series)Tj
2.4264 0 Td
(\(the)Tj
1.8085 0 Td
(same)Tj
2.2621 0 Td
(ones)Tj
2.0579 0 Td
(used)Tj
2.058 0 Td
(by)Tj
1.1848 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(]\))Tj
2.1884 0 Td
(from)Tj
2.211 0 Td
(the)Tj
1.4683 0 Td
(3003)Tj
2.1203 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(M3)Tj
1.5931 0 Td
(Competition)Tj
5.3348 0 Td
([)Tj
0.83 0.64 0.02 0 k
(16)Tj
0 g
(])Tj
-34.9396 -1.2982 Td
(to)Tj
1.0261 0 Td
(calculate)Tj
3.6737 0 Td
(the)Tj
1.4683 0 Td
(performance)Tj
5.3518 0 Td
(of)Tj
1.0148 0 Td
(eight)Tj
2.1996 0 Td
(traditional)Tj
4.4221 0 Td
(statistical)Tj
3.9061 0 Td
(methods)Tj
3.685 0 Td
(and)Tj
1.7291 0 Td
(eight)Tj
2.2054 0 Td
(popular)Tj
3.3392 0 Td
(ML)Tj
-34.0212 -1.2983 Td
(ones,)Tj
2.2847 0 Td
(the)Tj
1.4683 0 Td
(same)Tj
2.2564 0 Td
(as)Tj
1.0148 0 Td
(those)Tj
2.3414 0 Td
(used)Tj
2.0579 0 Td
(by)Tj
1.1792 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(],)Tj
2.0806 0 Td
(plus)Tj
1.8709 0 Td
(two)Tj
1.7121 0 Td
(more)Tj
2.3414 0 Td
(that)Tj
1.7745 0 Td
(have)Tj
2.0636 0 Td
(become)Tj
3.3222 0 Td
(popular)Tj
3.3392 0 Td
(during)Tj
2.931 0 Td
(recent)Tj
-34.0382 -1.3039 Td
(years)Tj
2.262 0 Td
([)Tj
0.83 0.64 0.02 0 k
(17)Tj
0 g
(].)Tj
2.0806 0 Td
(The)Tj
1.7801 0 Td
(forecasting)Tj
4.6092 0 Td
(model)Tj
2.7439 0 Td
(was)Tj
1.6951 0 Td
(developed)Tj
4.2746 0 Td
(using)Tj
2.3868 0 Td
(the)Tj
1.4683 0 Td
(first)Tj
/F10 1 Tf
1.8085 0 Td
[()]TJ
/F11 1 Tf
0.7483 0 Td
[()]TJ
/F5 1 Tf
0.7881 0 Td
(18)Tj
1.1735 0 Td
(observations,)Tj
5.4822 0 Td
(where)Tj
/F10 1 Tf
2.6532 0 Td
[()]TJ
/F5 1 Tf
0.7483 0 Td
(is)Tj
-36.7027 -1.2983 Td
(the)Tj
1.4683 0 Td
(length)Tj
2.7269 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(series.)Tj
2.6532 0 Td
(Then,)Tj
2.5568 0 Td
(18)Tj
1.1679 0 Td
(forecasts)Tj
3.6907 0 Td
(were)Tj
2.1203 0 Td
(produced)Tj
4.0479 0 Td
(and)Tj
1.7291 0 Td
(their)Tj
2.1089 0 Td
(accuracy)Tj
3.7077 0 Td
(was)Tj
1.7008 0 Td
(evaluated)Tj
-32.1673 -1.2982 Td
(compared)Tj
4.2406 0 Td
(to)Tj
1.0261 0 Td
(the)Tj
1.4683 0 Td
(actual)Tj
2.5852 0 Td
(values)Tj
2.6702 0 Td
(not)Tj
1.5704 0 Td
(used)Tj
2.0636 0 Td
(in)Tj
1.0318 0 Td
(developing)Tj
4.6035 0 Td
(the)Tj
1.4683 0 Td
(forecasting)Tj
4.6091 0 Td
(model.)Tj
2.965 0 Td
(In)Tj
1.1112 0 Td
(addition,)Tj
3.8211 0 Td
(the)Tj
-35.2344 -1.304 Td
(computational)Tj
6.049 0 Td
(complexity)Tj
4.6432 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(methods)Tj
3.685 0 Td
(used)Tj
2.058 0 Td
(was)Tj
1.7007 0 Td
(recorded)Tj
3.7928 0 Td
(as)Tj
1.0148 0 Td
(well)Tj
1.8198 0 Td
(as)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(accuracy)Tj
3.7077 0 Td
(of)Tj
1.0148 0 Td
(fitting)Tj
-34.4577 -1.2982 Td
(the)Tj
1.4683 0 Td
(model)Tj
2.7439 0 Td
(to)Tj
1.0261 0 Td
(the)Tj
/F10 1 Tf
1.4684 0 Td
[()]TJ
/F11 1 Tf
0.7483 0 Td
[()]TJ
/F5 1 Tf
0.788 0 Td
(18)Tj
1.1736 0 Td
(historical)Tj
3.9231 0 Td
(data)Tj
1.9105 0 Td
(\(Model)Tj
3.1578 0 Td
(Fit\).)Tj
1.8822 0 Td
(The)Tj
1.7802 0 Td
(third)Tj
2.211 0 Td
(section)Tj
3.05 0 Td
(discusses)Tj
3.8324 0 Td
(the)Tj
1.4741 0 Td
(outcome)Tj
3.7247 0 Td
(of)Tj
-36.3626 -1.2983 Td
(the)Tj
1.4683 0 Td
(comparisons)Tj
5.3348 0 Td
(and)Tj
1.7347 0 Td
(attempts)Tj
3.6681 0 Td
(to)Tj
1.0261 0 Td
(explain)Tj
3.1238 0 Td
(why)Tj
1.8821 0 Td
(the)Tj
1.4741 0 Td
(forecasting)Tj
4.6034 0 Td
(accuracy)Tj
3.7133 0 Td
(of)Tj
1.0148 0 Td
(ML)Tj
1.6498 0 Td
(models)Tj
3.1068 0 Td
(was)Tj
-33.8001 -1.3039 Td
(lower)Tj
2.4491 0 Td
(than)Tj
2.0296 0 Td
(most)Tj
2.2053 0 Td
(statistical)Tj
3.9118 0 Td
(ones,)Tj
2.2847 0 Td
(while)Tj
2.3697 0 Td
(also)Tj
1.7632 0 Td
(proposing)Tj
4.2859 0 Td
(possible)Tj
3.4073 0 Td
(ways)Tj
2.1543 0 Td
(to)Tj
1.0261 0 Td
(improve)Tj
3.5773 0 Td
(it.)Tj
1.0148 0 Td
(A)Tj
0.9014 0 Td
(critical)Tj
-33.3805 -1.2983 Td
(question)Tj
3.6566 0 Td
(being)Tj
2.4321 0 Td
(asked)Tj
2.4662 0 Td
(is)Tj
0.8447 0 Td
(whether)Tj
3.4752 0 Td
(ML)Tj
1.6555 0 Td
(methods)Tj
3.685 0 Td
(can)Tj
1.6214 0 Td
(actually)Tj
3.2881 0 Td
(be)Tj
1.1509 0 Td
(made)Tj
2.4208 0 Td
(to)Tj
1.0261 0 Td
(learn)Tj
3.0274 0 Td
(more)Tj
2.3414 0 Td
(efficiently)Tj
-33.0914 -1.2982 Td
(using)Tj
2.3867 0 Td
(more)Tj
2.3414 0 Td
(information)Tj
5.0797 0 Td
(about)Tj
2.4944 0 Td
(the)Tj
1.4684 0 Td
(future)Tj
2.6532 0 Td
(and)Tj
1.7348 0 Td
(its)Tj
1.1452 0 Td
(unknown)Tj
4.0818 0 Td
(errors,)Tj
2.8517 0 Td
(rather)Tj
2.6418 0 Td
(than)Tj
2.0296 0 Td
(past)Tj
1.8312 0 Td
(ones.)Tj
-31.5437 -1.2983 Td
(The)Tj
1.7858 0 Td
(motivation)Tj
4.6204 0 Td
(for)Tj
1.389 0 Td
(writing)Tj
3.1181 0 Td
(this)Tj
1.6781 0 Td
(paper)Tj
2.4831 0 Td
(was)Tj
1.6951 0 Td
(an)Tj
1.2019 0 Td
(article)Tj
2.6872 0 Td
([)Tj
0.83 0.64 0.02 0 k
(18)Tj
0 g
(])Tj
1.8482 0 Td
(published)Tj
4.1272 0 Td
(in)Tj
1.0375 0 Td
(Neural)Tj
2.9594 0 Td
(Networks)Tj
4.0932 0 Td
(in)Tj
-35.9204 -1.3039 Td
(June)Tj
2.0466 0 Td
(2017.)Tj
2.347 0 Td
(The)Tj
1.7858 0 Td
(aim)Tj
1.7405 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(article)Tj
2.6873 0 Td
(was)Tj
1.6951 0 Td
(to)Tj
1.0261 0 Td
(improve)Tj
3.583 0 Td
(the)Tj
1.4683 0 Td
(forecasting)Tj
4.6091 0 Td
(accuracy)Tj
3.7077 0 Td
(of)Tj
1.0148 0 Td
(stock)Tj
2.3074 0 Td
(price)Tj
2.2223 0 Td
(fluctu-)Tj
-34.7241 -1.2983 Td
(ations)Tj
2.6362 0 Td
(and)Tj
1.7291 0 Td
(claimed)Tj
3.3618 0 Td
(that)Tj
1.7802 0 Td
(the)Tj
1.8595 0 Td
(empirical)Tj
3.9912 0 Td
(results)Tj
2.8062 0 Td
(show)Tj
2.3018 0 Td
(that)Tj
1.7801 0 Td
(the)Tj
1.4683 0 Td
(proposed)Tj
3.9515 0 Td
(model)Tj
2.7439 0 Td
(indeed)Tj
2.9367 0 Td
(display)Tj
3.0274 0 Td
(a)Tj
-36.3739 -1.2982 Td
(good)Tj
2.228 0 Td
(performance)Tj
5.3461 0 Td
(in)Tj
1.0318 0 Td
(forecasting)Tj
4.6091 0 Td
(stock)Tj
2.3074 0 Td
(market)Tj
3.0614 0 Td
(fluctuations.)Tj
5.5672 0 Td
(In)Tj
1.1055 0 Td
(our)Tj
1.6271 0 Td
(view,)Tj
2.279 0 Td
(the)Tj
1.4683 0 Td
(results)Tj
2.8063 0 Td
(seemed)Tj
-33.4372 -1.304 Td
(extremely)Tj
4.1442 0 Td
(accurate)Tj
3.5546 0 Td
(for)Tj
1.389 0 Td
(stock)Tj
2.3074 0 Td
(market)Tj
3.0614 0 Td
(series)Tj
2.4264 0 Td
(that)Tj
1.7801 0 Td
(are)Tj
1.4457 0 Td
(essentially)Tj
4.286 0 Td
(close)Tj
2.1826 0 Td
(to)Tj
1.0262 0 Td
(random)Tj
3.4242 0 Td
(walks)Tj
2.4434 0 Td
(so)Tj
1.0885 0 Td
(we)Tj
-34.5597 -1.2982 Td
(wanted)Tj
3.135 0 Td
(to)Tj
1.0262 0 Td
(replicate)Tj
3.6226 0 Td
(the)Tj
1.4684 0 Td
(results)Tj
2.8119 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4684 0 Td
(article)Tj
2.6872 0 Td
(and)Tj
1.7291 0 Td
(emailed)Tj
3.3619 0 Td
(the)Tj
1.4683 0 Td
(corresponding)Tj
6.0605 0 Td
(author)Tj
2.8856 0 Td
(asking)Tj
2.7893 0 Td
(for)Tj
-35.5292 -1.2983 Td
(information)Tj
5.0739 0 Td
(to)Tj
1.0262 0 Td
(be)Tj
1.1508 0 Td
(able)Tj
1.8312 0 Td
(to)Tj
1.0261 0 Td
(do)Tj
1.2529 0 Td
(so.)Tj
1.3153 0 Td
(We)Tj
1.6044 0 Td
(got)Tj
1.491 0 Td
(no)Tj
1.2756 0 Td
(answer)Tj
3.0444 0 Td
(and)Tj
1.7291 0 Td
(we,)Tj
1.5534 0 Td
(therefore,)Tj
4.0819 0 Td
(emailed)Tj
3.3618 0 Td
(the)Tj
1.4684 0 Td
(Editor-in-)Tj
-32.2864 -1.3039 Td
(Chief)Tj
2.3867 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(Journal)Tj
3.1805 0 Td
(asking)Tj
2.7949 0 Td
(for)Tj
1.3833 0 Td
(his)Tj
1.3776 0 Td
(help.)Tj
2.16 0 Td
(He)Tj
1.4117 0 Td
(suggested)Tj
4.0705 0 Td
(contacting)Tj
4.4333 0 Td
(the)Tj
1.4741 0 Td
(other)Tj
2.347 0 Td
(author)Tj
2.8857 0 Td
(to)Tj
1.0261 0 Td
(get)Tj
1.406 0 Td
(the)Tj
ET
Q
q
1 j
1 J
0 w
576 737.1 m
36 737.1 l
36 737.6 l
576 737.6 l
f*
36 741.2598 107.1496 23.6976 re
W* n
q
107.0929 0 0 23.6409 36 741.3165 cm
q
/I0 Do
Q
Q
Q
q
0 0 612 792 re
W* n
1 j
1 J
0 w
7.9999 0 0 7.9999 442.6015 745.7952 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Statistical)Tj
4.422 0 Td
(and)Tj
1.8567 0 Td
(ML)Tj
1.5875 0 Td
(forecasting)Tj
5.0244 0 Td
(methods)Tj
ET
Q
q
1 j
1 J
0 w
36 48.0002 m
576 48.0002 l
576 47.5002 l
36 47.5002 l
f*
0.83 0.64 0.02 0 k
81.5811 34.9228 m
237.8835 34.9228 l
h
f*
0 g
7.9999 0 0 7.9999 36 36 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(PLOS)Tj
2.8559 0 Td
(ONE)Tj
2.3669 0 Td
(|)Tj
0.83 0.64 0.02 0 k
0.4748 0 Td
(https://doi.or)Tj
5.4142 0 Td
(g/10.137)Tj
3.8198 0 Td
(1/journal.po)Tj
5.1236 0 Td
(ne.01948)Tj
4.089 0 Td
(89)Tj
0 g
2.0906 0 Td
(March)Tj
2.9622 0 Td
(27,)Tj
1.5874 0 Td
(2018)Tj
34.3562 0 Td
(2)Tj
0.7654 0 Td
(/)Tj
ET
endstream
endobj
25 0 obj
<>stream
endstream
endobj
26 0 obj
<>stream
endstream
endobj
27 0 obj
<>stream
endstream
endobj
28 0 obj
<>stream
endstream
endobj
29 0 obj
<>stream
endstream
endobj
30 0 obj
<>stream
endstream
endobj
31 0 obj
<>stream
endstream
endobj
32 0 obj
<>stream
BT
66.402 0 Td
(26)Tj
ET
Q
endstream
endobj
33 0 obj
<>/XObject<>>>/CropBox[0 0 612 792]/MediaBox[0 0 612 792]/Parent 10 0 R/Annots 37 0 R/Contents 38 0 R/TrimBox[0 0 612 792]>>
endobj
37 0 obj
[39 0 R 40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R 48 0 R 49 0 R 50 0 R 51 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R 58 0 R]
endobj
39 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref018)>>
endobj
40 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref019)>>
endobj
41 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
42 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref009)>>
endobj
43 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref016)>>
endobj
44 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.t001)>>
endobj
45 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref012)>>
endobj
46 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref020)>>
endobj
47 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref021)>>
endobj
48 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref022)>>
endobj
49 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.t002)>>
endobj
50 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref018)>>
endobj
51 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref023)>>
endobj
52 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref024)>>
endobj
53 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref025)>>
endobj
54 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref026)>>
endobj
55 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref027)>>
endobj
56 0 obj
<>/Border[0 0 0]/Dest(Lpone.0194889.t001)>>
endobj
57 0 obj
<>/Border[0 0 0]/A 59 0 R>>
endobj
59 0 obj
<>
endobj
58 0 obj
<>/Border[0 0 0]/A 60 0 R>>
endobj
60 0 obj
<>
endobj
38 0 obj
[61 0 R 62 0 R 63 0 R 64 0 R 65 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R 75 0 R 76 0 R 77 0 R 78 0 R 79 0 R 80 0 R]
endobj
61 0 obj
<>stream
q
0.83 0.64 0.02 0 k
341.8583 693.2976 m
351.3827 693.2976 l
h
f*
454.5071 607.8047 m
464.0315 607.8047 l
h
f*
251.0362 568.8 m
260.5606 568.8 l
h
f*
383.811 555.7606 m
388.5732 555.7606 l
h
f*
272.5228 503.7732 m
282.0472 503.7732 l
h
f*
407.1685 477.8079 m
436.3087 477.8079 l
h
f*
312.4913 451.7858 m
322.0157 451.7858 l
h
f*
384.2646 425.7638 m
393.789 425.7638 l
h
f*
295.8803 412.7811 m
305.4047 412.7811 l
h
f*
203.4142 399.7984 m
212.9386 399.7984 l
h
f*
445.4362 347.811 m
474.6331 347.811 l
h
f*
362.6646 321.789 m
372.1323 321.789 l
h
f*
376.611 321.789 m
386.1354 321.789 l
h
f*
529.1717 321.789 m
538.6961 321.789 l
h
f*
281.9906 308.8063 m
291.515 308.8063 l
h
f*
455.074 308.8063 m
464.5417 308.8063 l
h
f*
401.3291 295.7669 m
410.8535 295.7669 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 200.0125 707.4141 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(required)Tj
3.6396 0 Td
(information.)Tj
5.3008 0 Td
(We)Tj
1.61 0 Td
(consequently,)Tj
5.7146 0 Td
(emailed)Tj
3.3619 0 Td
(this)Tj
1.6724 0 Td
(author)Tj
2.8857 0 Td
(but)Tj
1.5534 0 Td
(we)Tj
1.3266 0 Td
(never)Tj
2.4434 0 Td
(got)Tj
1.491 0 Td
(a)Tj
0.652 0 Td
(reply.)Tj
2.4605 0 Td
(Not)Tj
-34.1119 -1.3039 Td
(being)Tj
2.4321 0 Td
(able)Tj
1.8311 0 Td
(to)Tj
1.0205 0 Td
(replicate)Tj
3.6283 0 Td
(the)Tj
1.4684 0 Td
(result)Tj
2.4491 0 Td
(of)Tj
1.0148 0 Td
([)Tj
0.83 0.64 0.02 0 k
(18)Tj
0 g
(])Tj
1.8481 0 Td
(and)Tj
1.7348 0 Td
(not)Tj
1.5704 0 Td
(finding)Tj
3.1351 0 Td
(research)Tj
3.5546 0 Td
(studies)Tj
2.9877 0 Td
(comparing)Tj
4.5695 0 Td
(ML)Tj
1.6554 0 Td
(meth-)Tj
-34.8999 -1.2982 Td
(ods)Tj
1.6157 0 Td
(with)Tj
1.9956 0 Td
(alternative)Tj
4.422 0 Td
(ones)Tj
2.0579 0 Td
(we)Tj
1.3266 0 Td
(decided)Tj
3.3392 0 Td
(to)Tj
1.0262 0 Td
(start)Tj
1.9842 0 Td
(the)Tj
1.4683 0 Td
(research)Tj
3.5603 0 Td
(leading)Tj
3.1295 0 Td
(to)Tj
1.0261 0 Td
(this)Tj
1.6724 0 Td
(paper.)Tj
ET
Q
q
1 j
1 J
0 w
11.9999 0 0 11.9999 200.0125 651.8551 cm
BT
/F2 1 Tf
1 TL
-0.0033 Tc
0 0 Td
(2)Tj
0.7653 0 Td
(The)Tj
1.9937 0 Td
(accuracy)Tj
4.4977 0 Td
(of)Tj
1.1622 0 Td
(ML)Tj
1.6583 0 Td
(methods:)Tj
4.6914 0 Td
(A)Tj
0.9354 0 Td
(brief)Tj
2.367 0 Td
(review)Tj
3.3023 0 Td
(and)Tj
1.989 0 Td
(discussion)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 200.0125 634.8472 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(The)Tj
1.7801 0 Td
(first)Tj
1.8085 0 Td
(application)Tj
4.6771 0 Td
(of)Tj
1.0148 0 Td
(NNs)Tj
2.0523 0 Td
(\(as)Tj
1.3549 0 Td
(ML)Tj
1.6555 0 Td
(methods)Tj
3.685 0 Td
(were)Tj
2.1203 0 Td
(called)Tj
2.5228 0 Td
(at)Tj
0.9524 0 Td
(that)Tj
1.7745 0 Td
(time)Tj
2.0296 0 Td
(and)Tj
1.7291 0 Td
(also)Tj
1.7688 0 Td
(sometimes)Tj
-30.9257 -1.2982 Td
(today\))Tj
2.7779 0 Td
(in)Tj
1.0375 0 Td
(forecasting)Tj
4.6091 0 Td
(dates)Tj
2.262 0 Td
(back)Tj
2.0806 0 Td
(to)Tj
1.0261 0 Td
(1964)Tj
2.126 0 Td
(but)Tj
1.5477 0 Td
(did)Tj
1.5477 0 Td
(not)Tj
1.5704 0 Td
(achieve)Tj
3.1748 0 Td
(much)Tj
2.5171 0 Td
(follow-up)Tj
4.0933 0 Td
(until)Tj
2.1089 0 Td
(the)Tj
1.4684 0 Td
(tech-)Tj
-33.9475 -1.2983 Td
(nique)Tj
2.4944 0 Td
(of)Tj
1.0148 0 Td
(backpropagation)Tj
6.9449 0 Td
(was)Tj
1.7007 0 Td
(introduced)Tj
4.6432 0 Td
(almost)Tj
2.8856 0 Td
(20)Tj
1.1679 0 Td
(years)Tj
2.2677 0 Td
(later)Tj
1.9899 0 Td
([)Tj
0.83 0.64 0.02 0 k
(19)Tj
0 g
(].)Tj
2.0806 0 Td
(Since)Tj
2.3584 0 Td
(then,)Tj
2.245 0 Td
(there)Tj
2.2621 0 Td
(have)Tj
-34.0552 -1.3039 Td
(been)Tj
2.1203 0 Td
(numerous)Tj
4.3086 0 Td
(studies)Tj
2.9877 0 Td
(utilizing)Tj
3.5206 0 Td
(NNs)Tj
2.0523 0 Td
(and)Tj
1.7291 0 Td
(some)Tj
2.33 0 Td
(of)Tj
1.0148 0 Td
(them)Tj
2.2904 0 Td
(comparing)Tj
4.5751 0 Td
(their)Tj
2.1033 0 Td
(accuracy)Tj
3.7134 0 Td
(to)Tj
1.0261 0 Td
(tradi-)Tj
-33.7717 -1.2983 Td
(tional,)Tj
2.7439 0 Td
(statistical)Tj
3.9118 0 Td
(ones.)Tj
2.2847 0 Td
(A)Tj
0.9014 0 Td
(good)Tj
2.228 0 Td
(number)Tj
3.4186 0 Td
(of)Tj
1.0148 0 Td
(these)Tj
2.2563 0 Td
(studies,)Tj
3.2088 0 Td
(going)Tj
2.4718 0 Td
(back)Tj
2.0806 0 Td
(to)Tj
1.0262 0 Td
(1995,)Tj
2.347 0 Td
(are)Tj
1.4514 0 Td
(summarized)Tj
5.1817 0 Td
(in)Tj
-36.527 -1.2982 Td
(the)Tj
1.4683 0 Td
(work)Tj
2.279 0 Td
(of)Tj
1.0148 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(])Tj
1.8539 0 Td
(who)Tj
1.9389 0 Td
(concluded:)Tj
4.5977 0 Td
(The)Tj
2.177 0 Td
(outcome)Tj
3.7247 0 Td
(of)Tj
1.0148 0 Td
(all)Tj
1.1452 0 Td
(of)Tj
1.0148 0 Td
(these)Tj
2.2564 0 Td
(studies)Tj
2.9877 0 Td
(has)Tj
1.542 0 Td
(been)Tj
2.1203 0 Td
(somewhat)Tj
-31.1355 -1.3039 Td
(mixed.)Tj
3.3391 0 Td
(A)Tj
0.9071 0 Td
(similar)Tj
2.9821 0 Td
(conclusion)Tj
4.5807 0 Td
(was)Tj
1.7008 0 Td
(reached)Tj
3.3505 0 Td
(by)Tj
1.1792 0 Td
([)Tj
0.83 0.64 0.02 0 k
(9)Tj
0 g
(])Tj
1.3777 0 Td
(who)Tj
1.9388 0 Td
(evaluated)Tj
3.9912 0 Td
(48)Tj
1.1679 0 Td
(NN)Tj
1.6951 0 Td
(studies)Tj
2.9877 0 Td
(and)Tj
1.7291 0 Td
(stated)Tj
2.5625 0 Td
(that)Tj
-35.4895 -1.2983 Td
(their)Tj
2.1089 0 Td
(accuracy)Tj
3.7077 0 Td
(in)Tj
1.0375 0 Td
(comparison)Tj
4.9776 0 Td
(to)Tj
1.0261 0 Td
(statistical)Tj
3.9061 0 Td
(methods)Tj
3.6851 0 Td
(provided)Tj
3.8154 0 Td
(mixed)Tj
2.7269 0 Td
(results.)Tj
3.033 0 Td
(What)Tj
2.4435 0 Td
(character-)Tj
-32.4678 -1.2983 Td
(ized)Tj
1.8481 0 Td
(all)Tj
1.1509 0 Td
(these)Tj
2.2507 0 Td
(studies,)Tj
3.2144 0 Td
(however,)Tj
3.8381 0 Td
(was)Tj
1.6951 0 Td
(the)Tj
1.4684 0 Td
(limited)Tj
3.0727 0 Td
(number)Tj
3.4186 0 Td
(of)Tj
1.0148 0 Td
(series)Tj
2.4264 0 Td
(employed)Tj
4.1386 0 Td
(in)Tj
1.0374 0 Td
(the)Tj
1.4684 0 Td
(comparisons.)Tj
-30.8464 -1.2982 Td
(The)Tj
1.7858 0 Td
(first)Tj
1.8028 0 Td
(large)Tj
2.16 0 Td
(scale)Tj
2.109 0 Td
(study,)Tj
2.6135 0 Td
(using)Tj
2.3924 0 Td
(3003)Tj
2.1203 0 Td
(time)Tj
2.0296 0 Td
(series,)Tj
2.6532 0 Td
(dates)Tj
2.2677 0 Td
(back)Tj
2.0806 0 Td
(to)Tj
1.0205 0 Td
(the)Tj
1.474 0 Td
(M3)Tj
1.5874 0 Td
(Competition)Tj
5.3348 0 Td
(pub-)Tj
-34.6278 -1.304 Td
(lished)Tj
2.5738 0 Td
(in)Tj
1.0318 0 Td
(2000)Tj
2.126 0 Td
(by)Tj
1.1792 0 Td
([)Tj
0.83 0.64 0.02 0 k
(16)Tj
0 g
(])Tj
1.8538 0 Td
(that)Tj
1.7745 0 Td
(included)Tj
3.7134 0 Td
(an)Tj
1.2018 0 Td
(Automated)Tj
4.7395 0 Td
(Artificial)Tj
3.7701 0 Td
(NN)Tj
1.6894 0 Td
(\(AANN\))Tj
3.7417 0 Td
(method)Tj
3.3279 0 Td
(which,)Tj
-32.7229 -1.2982 Td
(accuracy-wise,)Tj
6.0207 0 Td
(did)Tj
1.542 0 Td
(average)Tj
3.2258 0 Td
(in)Tj
1.0375 0 Td
(comparison)Tj
4.9776 0 Td
(to)Tj
1.0262 0 Td
(the)Tj
1.4683 0 Td
(traditional)Tj
4.422 0 Td
(statistical)Tj
3.9061 0 Td
(ones)Tj
2.058 0 Td
(included)Tj
3.7133 0 Td
(in)Tj
1.0375 0 Td
(the)Tj
-34.435 -1.2983 Td
(Competition)Tj
5.3347 0 Td
(and)Tj
1.7291 0 Td
(below)Tj
2.5909 0 Td
(the)Tj
1.4683 0 Td
(most)Tj
2.2054 0 Td
(accurate)Tj
3.5546 0 Td
(ones)Tj
2.0636 0 Td
(\(see)Tj
0.83 0.64 0.02 0 k
1.7688 0 Td
(Table)Tj
2.4378 0 Td
(1)Tj
0 g
(\).)Tj
1.2642 0 Td
(Eleven)Tj
2.8857 0 Td
(years)Tj
2.262 0 Td
(later,)Tj
2.2224 0 Td
(Crone,)Tj
2.9593 0 Td
(Hibon)Tj
-34.7468 -1.3039 Td
(and)Tj
1.7291 0 Td
(Nikolopoulos)Tj
5.6466 0 Td
(\(C-H-N\))Tj
3.77 0 Td
(published)Tj
4.1216 0 Td
(the)Tj
1.4683 0 Td
(results)Tj
2.8119 0 Td
(of)Tj
1.0148 0 Td
(a)Tj
0.652 0 Td
(specialized)Tj
4.5241 0 Td
(NN)Tj
1.6951 0 Td
(competition,)Tj
5.3234 0 Td
(using)Tj
2.3868 0 Td
(a)Tj
0.6519 0 Td
(sub-)Tj
-35.7956 -1.2983 Td
(set)Tj
1.3039 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(M3)Tj
1.5874 0 Td
(monthly)Tj
3.6227 0 Td
(data)Tj
1.9162 0 Td
([)Tj
0.83 0.64 0.02 0 k
(12)Tj
0 g
(].)Tj
2.0749 0 Td
(In)Tj
1.1055 0 Td
(this)Tj
1.6781 0 Td
(competition)Tj
5.0967 0 Td
(they)Tj
1.9219 0 Td
(compared)Tj
4.2462 0 Td
(22)Tj
1.1679 0 Td
(NN)Tj
1.6951 0 Td
(and)Tj
1.7291 0 Td
(CI)Tj
1.2246 0 Td
(\(Computa-)Tj
-32.8533 -1.2982 Td
(tional)Tj
2.5171 0 Td
(Intelligence\))Tj
5.2157 0 Td
(methods,)Tj
3.9118 0 Td
(in)Tj
1.0375 0 Td
(addition)Tj
3.5943 0 Td
(to)Tj
1.0261 0 Td
(11)Tj
1.1736 0 Td
(statistical)Tj
3.9061 0 Td
(ones.)Tj
2.2847 0 Td
(Their)Tj
2.4208 0 Td
(conclusion)Tj
4.5807 0 Td
(was)Tj
1.7008 0 Td
(that)Tj
1.7745 0 Td
(no)Tj
-35.1437 -1.3039 Td
(ML)Tj
1.6497 0 Td
(method)Tj
3.3222 0 Td
(outperformed)Tj
5.8053 0 Td
(the)Tj
1.4683 0 Td
(Theta)Tj
2.5172 0 Td
(method)Tj
3.3222 0 Td
([)Tj
0.83 0.64 0.02 0 k
(20)Tj
0 g
(],)Tj
2.0749 0 Td
(the)Tj
1.4684 0 Td
(most)Tj
2.2053 0 Td
(accurate)Tj
3.5603 0 Td
(one)Tj
1.6951 0 Td
(in)Tj
1.0375 0 Td
(the)Tj
1.4683 0 Td
(M3)Tj
1.5874 0 Td
(Competi-)Tj
-33.1821 -1.2983 Td
(tion,)Tj
2.0636 0 Td
(and)Tj
1.7291 0 Td
(that)Tj
1.7801 0 Td
(only)Tj
1.9786 0 Td
(one)Tj
1.6951 0 Td
([)Tj
0.83 0.64 0.02 0 k
(21)Tj
0 g
(])Tj
1.8539 0 Td
(was)Tj
1.7007 0 Td
(more)Tj
2.3414 0 Td
(accurate)Tj
3.5547 0 Td
(than)Tj
2.0295 0 Td
(Damped)Tj
3.6794 0 Td
(trend)Tj
2.3868 0 Td
(exponential)Tj
4.8982 0 Td
(smoothing)Tj
-31.6911 -1.2983 Td
([)Tj
0.83 0.64 0.02 0 k
(22)Tj
0 g
(])Tj
1.8481 0 Td
(when)Tj
2.4038 0 Td
(the)Tj
1.474 0 Td
(symmetric)Tj
4.456 0 Td
(Mean)Tj
2.5172 0 Td
(Absolute)Tj
3.7757 0 Td
(Percentage)Tj
4.5921 0 Td
(Error)Tj
2.4094 0 Td
(\(sMAPE\))Tj
3.9685 0 Td
(for)Tj
1.3833 0 Td
(the)Tj
1.4684 0 Td
(average)Tj
3.2314 0 Td
(of)Tj
1.0148 0 Td
(all)Tj
1.1452 0 Td
(18)Tj
-35.6879 -1.3039 Td
(forecasting)Tj
4.6034 0 Td
(horizons)Tj
3.7247 0 Td
(was)Tj
1.7008 0 Td
(used.)Tj
2.2847 0 Td
(However,)Tj
4.0762 0 Td
(four)Tj
1.9162 0 Td
(NNs)Tj
2.0522 0 Td
(did)Tj
1.5421 0 Td
(better)Tj
2.5398 0 Td
(than)Tj
2.0296 0 Td
(the)Tj
1.4683 0 Td
(AANN)Tj
3.0614 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4684 0 Td
(M3)Tj
1.593 0 Td
(Com-)Tj
-35.0756 -1.2983 Td
(petition)Tj
3.3448 0 Td
(denoting)Tj
3.8098 0 Td
(improvements)Tj
6.0264 0 Td
(in)Tj
1.0374 0 Td
(the)Tj
1.4684 0 Td
(accuracy)Tj
3.7133 0 Td
(of)Tj
1.0148 0 Td
(newer)Tj
2.6703 0 Td
(ML)Tj
1.6554 0 Td
(methods.)Tj
3.9061 0 Td
(Overall,)Tj
3.3675 0 Td
(however,)Tj
3.8381 0 Td
(the)Tj
-35.8523 -1.2982 Td
(accuracy)Tj
3.7133 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(NNs)Tj
2.0523 0 Td
(was)Tj
1.7008 0 Td
(not)Tj
1.5704 0 Td
(exceptional,)Tj
5.0003 0 Td
(vis-)Tj
/F11 1 Tf
[()]TJ
/F5 1 Tf
(-vis)Tj
3.5206 0 Td
(those)Tj
2.3357 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(M3)Tj
1.5874 0 Td
(Competition,)Tj
5.5615 0 Td
(or)Tj
1.0999 0 Td
(the)Tj
1.4683 0 Td
(11)Tj
1.1735 0 Td
(sta-)Tj
-35.7559 -1.2983 Td
(tistical)Tj
2.8119 0 Td
(methods)Tj
3.685 0 Td
(that)Tj
1.7802 0 Td
(were)Tj
2.1203 0 Td
(included)Tj
3.7133 0 Td
(in)Tj
1.0375 0 Td
(the)Tj
1.4683 0 Td
(\(C-H-N\))Tj
3.7701 0 Td
(study)Tj
2.3867 0 Td
(\(see)Tj
0.83 0.64 0.02 0 k
1.7689 0 Td
(Table)Tj
2.4434 0 Td
(2)Tj
0 g
(\).)Tj
-25.7894 -1.3039 Td
(ML)Tj
1.6554 0 Td
(methods)Tj
3.685 0 Td
(have)Tj
2.0579 0 Td
(been)Tj
2.1203 0 Td
(gaining)Tj
3.2202 0 Td
(prominence)Tj
5.0683 0 Td
(over)Tj
1.9786 0 Td
(time)Tj
2.0239 0 Td
(as)Tj
1.0148 0 Td
(interest)Tj
3.2145 0 Td
(in)Tj
1.0374 0 Td
(AI)Tj
1.2416 0 Td
(has)Tj
1.542 0 Td
(been)Tj
2.1203 0 Td
(rising.)Tj
-33.1764 -1.2983 Td
(They)Tj
2.2336 0 Td
(are)Tj
1.4514 0 Td
(used)Tj
2.0579 0 Td
(to)Tj
1.0261 0 Td
(predict)Tj
3.0501 0 Td
(financial)Tj
3.6737 0 Td
(series)Tj
2.4321 0 Td
([)Tj
0.83 0.64 0.02 0 k
(18)Tj
0 g
(,)Tj
0.83 0.64 0.02 0 k
1.7348 0 Td
(23)Tj
0 g
(],)Tj
1.7348 0 Td
(the)Tj
1.474 0 Td
(direction)Tj
3.8494 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(stock)Tj
2.3017 0 Td
(market)Tj
3.0671 0 Td
([)Tj
0.83 0.64 0.02 0 k
(24)Tj
0 g
(],)Tj
2.0749 0 Td
(macro-)Tj
-34.6504 -1.2982 Td
(economic)Tj
4.1385 0 Td
(variables)Tj
3.719 0 Td
([)Tj
0.83 0.64 0.02 0 k
(25)Tj
0 g
(],)Tj
2.075 0 Td
(accounting)Tj
4.6658 0 Td
(balance)Tj
3.2371 0 Td
(sheet)Tj
2.2507 0 Td
(information)Tj
5.0797 0 Td
([)Tj
0.83 0.64 0.02 0 k
(26)Tj
0 g
(])Tj
1.8482 0 Td
(and)Tj
1.7291 0 Td
(a)Tj
0.6576 0 Td
(good)Tj
2.228 0 Td
(number)Tj
3.4129 0 Td
(of)Tj
-35.0416 -1.304 Td
(other)Tj
2.347 0 Td
(applications,)Tj
5.2668 0 Td
(covering)Tj
3.6793 0 Td
(a)Tj
0.6576 0 Td
(wide)Tj
2.1203 0 Td
(range)Tj
2.4605 0 Td
(of)Tj
1.0148 0 Td
(areas)Tj
2.245 0 Td
([)Tj
0.83 0.64 0.02 0 k
(27)Tj
0 g
(].)Tj
2.075 0 Td
(A)Tj
0.907 0 Td
(major)Tj
2.6079 0 Td
(purpose)Tj
3.4469 0 Td
(of)Tj
1.0148 0 Td
(this)Tj
1.6724 0 Td
(study)Tj
2.3868 0 Td
(is)Tj
0.8504 0 Td
(to)Tj
-34.7525 -1.2982 Td
(determine,)Tj
4.5467 0 Td
(empirically,)Tj
4.9152 0 Td
(if)Tj
0.7767 0 Td
(their)Tj
2.109 0 Td
(performance)Tj
5.3461 0 Td
(exceeds)Tj
3.2655 0 Td
(that)Tj
1.7801 0 Td
(of)Tj
1.0148 0 Td
(statistical)Tj
3.9118 0 Td
(methods)Tj
3.685 0 Td
(and)Tj
1.7292 0 Td
(how)Tj
1.9388 0 Td
(their)Tj
-35.0189 -1.2983 Td
(advantages)Tj
4.5977 0 Td
(could)Tj
2.4548 0 Td
(be)Tj
1.1509 0 Td
(exploited)Tj
3.8947 0 Td
(to)Tj
1.0262 0 Td
(improve)Tj
3.5773 0 Td
(forecasting)Tj
4.6091 0 Td
(accuracy.)Tj
3.9401 0 Td
(What)Tj
2.4435 0 Td
(seems)Tj
2.6078 0 Td
(certain)Tj
2.9877 0 Td
(is)Tj
0.8447 0 Td
(that)Tj
-34.1345 -1.3039 Td
(Chatfield's)Tj
4.473 0 Td
(prediction)Tj
4.371 0 Td
(of)Tj
1.0148 0 Td
(NNs)Tj
2.0523 0 Td
(becoming)Tj
4.1782 0 Td
(a)Tj
0.6576 0 Td
(breakthrough)Tj
6.0661 0 Td
(or)Tj
1.0999 0 Td
(passing)Tj
3.1748 0 Td
(fad)Tj
1.8595 0 Td
(will)Tj
1.6667 0 Td
(not)Tj
1.5704 0 Td
(be)Tj
1.1509 0 Td
(realized)Tj
ET
Q
q
0.45 0.36 0.35 0.01 k
1 j
1 J
0 w
36 229.7523 m
576 229.7523 l
576 229.2523 l
36 229.2523 l
f*
88.3913 229.2523 m
88.3913 216.7523 l
87.8913 216.7523 l
87.8913 229.2523 l
f*
87.8913 216.7523 m
36 216.7523 l
36 217.2523 l
87.8913 217.2523 l
f*
389.4381 229.2523 m
389.4381 216.7523 l
388.938 216.7523 l
388.938 229.2523 l
f*
388.938 216.7523 m
88.3913 216.7523 l
88.3913 217.2523 l
388.938 217.2523 l
f*
575.9966 216.7523 m
389.4381 216.7523 l
389.4381 217.2523 l
575.9966 217.2523 l
f*
88.3913 216.7523 m
88.3913 204.2524 l
87.8913 204.2524 l
87.8913 216.7523 l
f*
87.8913 204.2524 m
36 204.2524 l
36 204.7524 l
87.8913 204.7524 l
f*
118.1965 216.7523 m
118.1965 204.2524 l
117.6965 204.2524 l
117.6965 216.7523 l
f*
117.6965 204.2524 m
88.3913 204.2524 l
88.3913 204.7524 l
117.6965 204.7524 l
f*
148.3345 216.7523 m
148.3345 204.2524 l
147.8344 204.2524 l
147.8344 216.7523 l
f*
147.8344 204.2524 m
118.1965 204.2524 l
118.1965 204.7524 l
147.8344 204.7524 l
f*
178.4724 216.7523 m
178.4724 204.2524 l
177.9724 204.2524 l
177.9724 216.7523 l
f*
177.9724 204.2524 m
148.3345 204.2524 l
148.3345 204.7524 l
177.9724 204.7524 l
f*
208.6104 216.7523 m
208.6104 204.2524 l
208.1103 204.2524 l
208.1103 216.7523 l
f*
208.1103 204.2524 m
178.4724 204.2524 l
178.4724 204.7524 l
208.1103 204.7524 l
f*
238.7483 216.7523 m
238.7483 204.2524 l
238.2483 204.2524 l
238.2483 216.7523 l
f*
238.2483 204.2524 m
208.6104 204.2524 l
208.6104 204.7524 l
238.2483 204.7524 l
f*
268.8863 216.7523 m
268.8863 204.2524 l
268.3862 204.2524 l
268.3862 216.7523 l
f*
268.3862 204.2524 m
238.7483 204.2524 l
238.7483 204.7524 l
268.3862 204.7524 l
f*
299.0242 216.7523 m
299.0242 204.2524 l
298.5242 204.2524 l
298.5242 216.7523 l
f*
298.5242 204.2524 m
268.8863 204.2524 l
268.8863 204.7524 l
298.5242 204.7524 l
f*
329.1622 216.7523 m
329.1622 204.2524 l
328.6621 204.2524 l
328.6621 216.7523 l
f*
328.6621 204.2524 m
299.0242 204.2524 l
299.0242 204.7524 l
328.6621 204.7524 l
f*
359.3001 216.7523 m
359.3001 204.2524 l
358.8001 204.2524 l
358.8001 216.7523 l
f*
358.8001 204.2524 m
329.1622 204.2524 l
329.1622 204.7524 l
358.8001 204.7524 l
f*
389.4381 216.7523 m
389.4381 204.2524 l
388.938 204.2524 l
388.938 216.7523 l
f*
388.938 204.2524 m
359.3001 204.2524 l
359.3001 204.7524 l
388.938 204.7524 l
f*
419.576 216.7523 m
419.576 204.2524 l
419.076 204.2524 l
419.076 216.7523 l
f*
419.076 204.2524 m
389.4381 204.2524 l
389.4381 204.7524 l
419.076 204.7524 l
f*
449.714 216.7523 m
449.714 204.2524 l
449.214 204.2524 l
449.214 216.7523 l
f*
449.214 204.2524 m
419.576 204.2524 l
419.576 204.7524 l
449.214 204.7524 l
f*
479.8519 216.7523 m
479.8519 204.2524 l
479.3519 204.2524 l
479.3519 216.7523 l
f*
479.3519 204.2524 m
449.714 204.2524 l
449.714 204.7524 l
479.3519 204.7524 l
f*
512.0668 216.7523 m
512.0668 204.2524 l
511.5668 204.2524 l
511.5668 216.7523 l
f*
511.5668 204.2524 m
479.8519 204.2524 l
479.8519 204.7524 l
511.5668 204.7524 l
f*
544.2817 216.7523 m
544.2817 204.2524 l
543.7817 204.2524 l
543.7817 216.7523 l
f*
543.7817 204.2524 m
512.0668 204.2524 l
512.0668 204.7524 l
543.7817 204.7524 l
f*
575.9966 204.2524 m
544.2817 204.2524 l
544.2817 204.7524 l
575.9966 204.7524 l
f*
88.3913 204.2524 m
88.3913 191.7524 l
87.8913 191.7524 l
87.8913 204.2524 l
f*
87.8913 191.7524 m
36 191.7524 l
36 192.2525 l
87.8913 192.2525 l
f*
118.1965 204.2524 m
118.1965 191.7524 l
117.6965 191.7524 l
117.6965 204.2524 l
f*
117.6965 191.7524 m
88.3913 191.7524 l
88.3913 192.2525 l
117.6965 192.2525 l
f*
148.3345 204.2524 m
148.3345 191.7524 l
147.8344 191.7524 l
147.8344 204.2524 l
f*
147.8344 191.7524 m
118.1965 191.7524 l
118.1965 192.2525 l
147.8344 192.2525 l
f*
178.4724 204.2524 m
178.4724 191.7524 l
177.9724 191.7524 l
177.9724 204.2524 l
f*
177.9724 191.7524 m
148.3345 191.7524 l
148.3345 192.2525 l
177.9724 192.2525 l
f*
208.6104 204.2524 m
208.6104 191.7524 l
208.1103 191.7524 l
208.1103 204.2524 l
f*
208.1103 191.7524 m
178.4724 191.7524 l
178.4724 192.2525 l
208.1103 192.2525 l
f*
238.7483 204.2524 m
238.7483 191.7524 l
238.2483 191.7524 l
238.2483 204.2524 l
f*
238.2483 191.7524 m
208.6104 191.7524 l
208.6104 192.2525 l
238.2483 192.2525 l
f*
268.8863 204.2524 m
268.8863 191.7524 l
268.3862 191.7524 l
268.3862 204.2524 l
f*
268.3862 191.7524 m
238.7483 191.7524 l
238.7483 192.2525 l
268.3862 192.2525 l
f*
299.0242 204.2524 m
299.0242 191.7524 l
298.5242 191.7524 l
298.5242 204.2524 l
f*
298.5242 191.7524 m
268.8863 191.7524 l
268.8863 192.2525 l
298.5242 192.2525 l
f*
329.1622 204.2524 m
329.1622 191.7524 l
328.6621 191.7524 l
328.6621 204.2524 l
f*
328.6621 191.7524 m
299.0242 191.7524 l
299.0242 192.2525 l
328.6621 192.2525 l
f*
359.3001 204.2524 m
359.3001 191.7524 l
358.8001 191.7524 l
358.8001 204.2524 l
f*
358.8001 191.7524 m
329.1622 191.7524 l
329.1622 192.2525 l
358.8001 192.2525 l
f*
389.4381 204.2524 m
389.4381 191.7524 l
388.938 191.7524 l
388.938 204.2524 l
f*
388.938 191.7524 m
359.3001 191.7524 l
359.3001 192.2525 l
388.938 192.2525 l
f*
419.576 204.2524 m
419.576 191.7524 l
419.076 191.7524 l
419.076 204.2524 l
f*
419.076 191.7524 m
389.4381 191.7524 l
389.4381 192.2525 l
419.076 192.2525 l
f*
449.714 204.2524 m
449.714 191.7524 l
449.214 191.7524 l
449.214 204.2524 l
f*
449.214 191.7524 m
419.576 191.7524 l
419.576 192.2525 l
449.214 192.2525 l
f*
479.8519 204.2524 m
479.8519 191.7524 l
479.3519 191.7524 l
479.3519 204.2524 l
f*
479.3519 191.7524 m
449.714 191.7524 l
449.714 192.2525 l
479.3519 192.2525 l
f*
512.0668 204.2524 m
512.0668 191.7524 l
511.5668 191.7524 l
511.5668 204.2524 l
f*
511.5668 191.7524 m
479.8519 191.7524 l
479.8519 192.2525 l
511.5668 192.2525 l
f*
544.2817 204.2524 m
544.2817 191.7524 l
543.7817 191.7524 l
543.7817 204.2524 l
f*
543.7817 191.7524 m
512.0668 191.7524 l
512.0668 192.2525 l
543.7817 192.2525 l
f*
575.9966 191.7524 m
544.2817 191.7524 l
544.2817 192.2525 l
575.9966 192.2525 l
f*
88.3913 191.7524 m
88.3913 179.2525 l
87.8913 179.2525 l
87.8913 191.7524 l
f*
87.8913 179.2525 m
36 179.2525 l
36 179.7525 l
87.8913 179.7525 l
f*
118.1965 191.7524 m
118.1965 179.2525 l
117.6965 179.2525 l
117.6965 191.7524 l
f*
117.6965 179.2525 m
88.3913 179.2525 l
88.3913 179.7525 l
117.6965 179.7525 l
f*
148.3345 191.7524 m
148.3345 179.2525 l
147.8344 179.2525 l
147.8344 191.7524 l
f*
147.8344 179.2525 m
118.1965 179.2525 l
118.1965 179.7525 l
147.8344 179.7525 l
f*
178.4724 191.7524 m
178.4724 179.2525 l
177.9724 179.2525 l
177.9724 191.7524 l
f*
177.9724 179.2525 m
148.3345 179.2525 l
148.3345 179.7525 l
177.9724 179.7525 l
f*
208.6104 191.7524 m
208.6104 179.2525 l
208.1103 179.2525 l
208.1103 191.7524 l
f*
208.1103 179.2525 m
178.4724 179.2525 l
178.4724 179.7525 l
208.1103 179.7525 l
f*
238.7483 191.7524 m
238.7483 179.2525 l
238.2483 179.2525 l
238.2483 191.7524 l
f*
238.2483 179.2525 m
208.6104 179.2525 l
208.6104 179.7525 l
238.2483 179.7525 l
f*
268.8863 191.7524 m
268.8863 179.2525 l
268.3862 179.2525 l
268.3862 191.7524 l
f*
268.3862 179.2525 m
238.7483 179.2525 l
238.7483 179.7525 l
268.3862 179.7525 l
f*
299.0242 191.7524 m
299.0242 179.2525 l
298.5242 179.2525 l
298.5242 191.7524 l
f*
298.5242 179.2525 m
268.8863 179.2525 l
268.8863 179.7525 l
298.5242 179.7525 l
f*
329.1622 191.7524 m
329.1622 179.2525 l
328.6621 179.2525 l
328.6621 191.7524 l
f*
328.6621 179.2525 m
299.0242 179.2525 l
299.0242 179.7525 l
328.6621 179.7525 l
f*
359.3001 191.7524 m
359.3001 179.2525 l
358.8001 179.2525 l
358.8001 191.7524 l
f*
358.8001 179.2525 m
329.1622 179.2525 l
329.1622 179.7525 l
358.8001 179.7525 l
f*
389.4381 191.7524 m
389.4381 179.2525 l
388.938 179.2525 l
388.938 191.7524 l
f*
388.938 179.2525 m
359.3001 179.2525 l
359.3001 179.7525 l
388.938 179.7525 l
f*
419.576 191.7524 m
419.576 179.2525 l
419.076 179.2525 l
419.076 191.7524 l
f*
419.076 179.2525 m
389.4381 179.2525 l
389.4381 179.7525 l
419.076 179.7525 l
f*
449.714 191.7524 m
449.714 179.2525 l
449.214 179.2525 l
449.214 191.7524 l
f*
449.214 179.2525 m
419.576 179.2525 l
419.576 179.7525 l
449.214 179.7525 l
f*
479.8519 191.7524 m
479.8519 179.2525 l
479.3519 179.2525 l
479.3519 191.7524 l
f*
479.3519 179.2525 m
449.714 179.2525 l
449.714 179.7525 l
479.3519 179.7525 l
f*
512.0668 191.7524 m
512.0668 179.2525 l
511.5668 179.2525 l
511.5668 191.7524 l
f*
511.5668 179.2525 m
479.8519 179.2525 l
479.8519 179.7525 l
511.5668 179.7525 l
f*
544.2817 191.7524 m
544.2817 179.2525 l
543.7817 179.2525 l
543.7817 191.7524 l
f*
543.7817 179.2525 m
512.0668 179.2525 l
512.0668 179.7525 l
543.7817 179.7525 l
f*
575.9966 179.2525 m
544.2817 179.2525 l
544.2817 179.7525 l
575.9966 179.7525 l
f*
88.3913 179.2525 m
88.3913 166.7526 l
87.8913 166.7526 l
87.8913 179.2525 l
f*
87.8913 166.7526 m
36 166.7526 l
36 167.2526 l
87.8913 167.2526 l
f*
118.1965 179.2525 m
118.1965 166.7526 l
117.6965 166.7526 l
117.6965 179.2525 l
f*
117.6965 166.7526 m
88.3913 166.7526 l
88.3913 167.2526 l
117.6965 167.2526 l
f*
148.3345 179.2525 m
148.3345 166.7526 l
147.8344 166.7526 l
147.8344 179.2525 l
f*
147.8344 166.7526 m
118.1965 166.7526 l
118.1965 167.2526 l
147.8344 167.2526 l
f*
178.4724 179.2525 m
178.4724 166.7526 l
177.9724 166.7526 l
177.9724 179.2525 l
f*
177.9724 166.7526 m
148.3345 166.7526 l
148.3345 167.2526 l
177.9724 167.2526 l
f*
208.6104 179.2525 m
208.6104 166.7526 l
208.1103 166.7526 l
208.1103 179.2525 l
f*
208.1103 166.7526 m
178.4724 166.7526 l
178.4724 167.2526 l
208.1103 167.2526 l
f*
238.7483 179.2525 m
238.7483 166.7526 l
238.2483 166.7526 l
238.2483 179.2525 l
f*
238.2483 166.7526 m
208.6104 166.7526 l
208.6104 167.2526 l
238.2483 167.2526 l
f*
268.8863 179.2525 m
268.8863 166.7526 l
268.3862 166.7526 l
268.3862 179.2525 l
f*
268.3862 166.7526 m
238.7483 166.7526 l
238.7483 167.2526 l
268.3862 167.2526 l
f*
299.0242 179.2525 m
299.0242 166.7526 l
298.5242 166.7526 l
298.5242 179.2525 l
f*
298.5242 166.7526 m
268.8863 166.7526 l
268.8863 167.2526 l
298.5242 167.2526 l
f*
329.1622 179.2525 m
329.1622 166.7526 l
328.6621 166.7526 l
328.6621 179.2525 l
f*
328.6621 166.7526 m
299.0242 166.7526 l
299.0242 167.2526 l
328.6621 167.2526 l
f*
359.3001 179.2525 m
359.3001 166.7526 l
358.8001 166.7526 l
358.8001 179.2525 l
f*
358.8001 166.7526 m
329.1622 166.7526 l
329.1622 167.2526 l
358.8001 167.2526 l
f*
389.4381 179.2525 m
389.4381 166.7526 l
388.938 166.7526 l
388.938 179.2525 l
f*
388.938 166.7526 m
359.3001 166.7526 l
359.3001 167.2526 l
388.938 167.2526 l
f*
419.576 179.2525 m
419.576 166.7526 l
419.076 166.7526 l
419.076 179.2525 l
f*
419.076 166.7526 m
389.4381 166.7526 l
389.4381 167.2526 l
419.076 167.2526 l
f*
449.714 179.2525 m
449.714 166.7526 l
449.214 166.7526 l
449.214 179.2525 l
f*
449.214 166.7526 m
419.576 166.7526 l
419.576 167.2526 l
449.214 167.2526 l
f*
479.8519 179.2525 m
479.8519 166.7526 l
479.3519 166.7526 l
479.3519 179.2525 l
f*
479.3519 166.7526 m
449.714 166.7526 l
449.714 167.2526 l
479.3519 167.2526 l
f*
512.0668 179.2525 m
512.0668 166.7526 l
511.5668 166.7526 l
511.5668 179.2525 l
f*
511.5668 166.7526 m
479.8519 166.7526 l
479.8519 167.2526 l
511.5668 167.2526 l
f*
544.2817 179.2525 m
544.2817 166.7526 l
543.7817 166.7526 l
543.7817 179.2525 l
f*
543.7817 166.7526 m
512.0668 166.7526 l
512.0668 167.2526 l
543.7817 167.2526 l
f*
575.9966 166.7526 m
544.2817 166.7526 l
544.2817 167.2526 l
575.9966 167.2526 l
f*
88.3913 166.7526 m
88.3913 154.2526 l
87.8913 154.2526 l
87.8913 166.7526 l
f*
87.8913 154.2526 m
36 154.2526 l
36 154.7527 l
87.8913 154.7527 l
f*
118.1965 166.7526 m
118.1965 154.2526 l
117.6965 154.2526 l
117.6965 166.7526 l
f*
117.6965 154.2526 m
88.3913 154.2526 l
88.3913 154.7527 l
117.6965 154.7527 l
f*
148.3345 166.7526 m
148.3345 154.2526 l
147.8344 154.2526 l
147.8344 166.7526 l
f*
147.8344 154.2526 m
118.1965 154.2526 l
118.1965 154.7527 l
147.8344 154.7527 l
f*
178.4724 166.7526 m
178.4724 154.2526 l
177.9724 154.2526 l
177.9724 166.7526 l
f*
177.9724 154.2526 m
148.3345 154.2526 l
148.3345 154.7527 l
177.9724 154.7527 l
f*
208.6104 166.7526 m
208.6104 154.2526 l
208.1103 154.2526 l
208.1103 166.7526 l
f*
208.1103 154.2526 m
178.4724 154.2526 l
178.4724 154.7527 l
208.1103 154.7527 l
f*
238.7483 166.7526 m
238.7483 154.2526 l
238.2483 154.2526 l
238.2483 166.7526 l
f*
238.2483 154.2526 m
208.6104 154.2526 l
208.6104 154.7527 l
238.2483 154.7527 l
f*
268.8863 166.7526 m
268.8863 154.2526 l
268.3862 154.2526 l
268.3862 166.7526 l
f*
268.3862 154.2526 m
238.7483 154.2526 l
238.7483 154.7527 l
268.3862 154.7527 l
f*
299.0242 166.7526 m
299.0242 154.2526 l
298.5242 154.2526 l
298.5242 166.7526 l
f*
298.5242 154.2526 m
268.8863 154.2526 l
268.8863 154.7527 l
298.5242 154.7527 l
f*
329.1622 166.7526 m
329.1622 154.2526 l
328.6621 154.2526 l
328.6621 166.7526 l
f*
328.6621 154.2526 m
299.0242 154.2526 l
299.0242 154.7527 l
328.6621 154.7527 l
f*
359.3001 166.7526 m
359.3001 154.2526 l
358.8001 154.2526 l
358.8001 166.7526 l
f*
358.8001 154.2526 m
329.1622 154.2526 l
329.1622 154.7527 l
358.8001 154.7527 l
f*
389.4381 166.7526 m
389.4381 154.2526 l
388.938 154.2526 l
388.938 166.7526 l
f*
388.938 154.2526 m
359.3001 154.2526 l
359.3001 154.7527 l
388.938 154.7527 l
f*
419.576 166.7526 m
419.576 154.2526 l
419.076 154.2526 l
419.076 166.7526 l
f*
419.076 154.2526 m
389.4381 154.2526 l
389.4381 154.7527 l
419.076 154.7527 l
f*
449.714 166.7526 m
449.714 154.2526 l
449.214 154.2526 l
449.214 166.7526 l
f*
449.214 154.2526 m
419.576 154.2526 l
419.576 154.7527 l
449.214 154.7527 l
f*
479.8519 166.7526 m
479.8519 154.2526 l
479.3519 154.2526 l
479.3519 166.7526 l
f*
479.3519 154.2526 m
449.714 154.2526 l
449.714 154.7527 l
479.3519 154.7527 l
f*
512.0668 166.7526 m
512.0668 154.2526 l
511.5668 154.2526 l
511.5668 166.7526 l
f*
511.5668 154.2526 m
479.8519 154.2526 l
479.8519 154.7527 l
511.5668 154.7527 l
f*
544.2817 166.7526 m
544.2817 154.2526 l
543.7817 154.2526 l
543.7817 166.7526 l
f*
543.7817 154.2526 m
512.0668 154.2526 l
512.0668 154.7527 l
543.7817 154.7527 l
f*
575.9966 154.2526 m
544.2817 154.2526 l
544.2817 154.7527 l
575.9966 154.7527 l
f*
88.3913 154.2526 m
88.3913 141.7527 l
87.8913 141.7527 l
87.8913 154.2526 l
f*
87.8913 141.7527 m
36 141.7527 l
36 142.2527 l
87.8913 142.2527 l
f*
118.1965 154.2526 m
118.1965 141.7527 l
117.6965 141.7527 l
117.6965 154.2526 l
f*
117.6965 141.7527 m
88.3913 141.7527 l
88.3913 142.2527 l
117.6965 142.2527 l
f*
148.3345 154.2526 m
148.3345 141.7527 l
147.8344 141.7527 l
147.8344 154.2526 l
f*
147.8344 141.7527 m
118.1965 141.7527 l
118.1965 142.2527 l
147.8344 142.2527 l
f*
178.4724 154.2526 m
178.4724 141.7527 l
177.9724 141.7527 l
177.9724 154.2526 l
f*
177.9724 141.7527 m
148.3345 141.7527 l
148.3345 142.2527 l
177.9724 142.2527 l
f*
208.6104 154.2526 m
208.6104 141.7527 l
208.1103 141.7527 l
208.1103 154.2526 l
f*
208.1103 141.7527 m
178.4724 141.7527 l
178.4724 142.2527 l
208.1103 142.2527 l
f*
238.7483 154.2526 m
238.7483 141.7527 l
238.2483 141.7527 l
238.2483 154.2526 l
f*
238.2483 141.7527 m
208.6104 141.7527 l
208.6104 142.2527 l
238.2483 142.2527 l
f*
268.8863 154.2526 m
268.8863 141.7527 l
268.3862 141.7527 l
268.3862 154.2526 l
f*
268.3862 141.7527 m
238.7483 141.7527 l
238.7483 142.2527 l
268.3862 142.2527 l
f*
299.0242 154.2526 m
299.0242 141.7527 l
298.5242 141.7527 l
298.5242 154.2526 l
f*
298.5242 141.7527 m
268.8863 141.7527 l
268.8863 142.2527 l
298.5242 142.2527 l
f*
329.1622 154.2526 m
329.1622 141.7527 l
328.6621 141.7527 l
328.6621 154.2526 l
f*
328.6621 141.7527 m
299.0242 141.7527 l
299.0242 142.2527 l
328.6621 142.2527 l
f*
359.3001 154.2526 m
359.3001 141.7527 l
358.8001 141.7527 l
358.8001 154.2526 l
f*
358.8001 141.7527 m
329.1622 141.7527 l
329.1622 142.2527 l
358.8001 142.2527 l
f*
389.4381 154.2526 m
389.4381 141.7527 l
388.938 141.7527 l
388.938 154.2526 l
f*
388.938 141.7527 m
359.3001 141.7527 l
359.3001 142.2527 l
388.938 142.2527 l
f*
419.576 154.2526 m
419.576 141.7527 l
419.076 141.7527 l
419.076 154.2526 l
f*
419.076 141.7527 m
389.4381 141.7527 l
389.4381 142.2527 l
419.076 142.2527 l
f*
449.714 154.2526 m
449.714 141.7527 l
449.214 141.7527 l
449.214 154.2526 l
f*
449.214 141.7527 m
419.576 141.7527 l
419.576 142.2527 l
449.214 142.2527 l
f*
479.8519 154.2526 m
479.8519 141.7527 l
479.3519 141.7527 l
479.3519 154.2526 l
f*
479.3519 141.7527 m
449.714 141.7527 l
449.714 142.2527 l
479.3519 142.2527 l
f*
512.0668 154.2526 m
512.0668 141.7527 l
511.5668 141.7527 l
511.5668 154.2526 l
f*
511.5668 141.7527 m
479.8519 141.7527 l
479.8519 142.2527 l
511.5668 142.2527 l
f*
544.2817 154.2526 m
544.2817 141.7527 l
543.7817 141.7527 l
543.7817 154.2526 l
f*
543.7817 141.7527 m
512.0668 141.7527 l
512.0668 142.2527 l
543.7817 142.2527 l
f*
575.9966 141.7527 m
544.2817 141.7527 l
544.2817 142.2527 l
575.9966 142.2527 l
f*
88.3913 141.7527 m
88.3913 129.2528 l
87.8913 129.2528 l
87.8913 141.7527 l
f*
87.8913 129.2528 m
36 129.2528 l
36 129.7528 l
87.8913 129.7528 l
f*
118.1965 141.7527 m
118.1965 129.2528 l
117.6965 129.2528 l
117.6965 141.7527 l
f*
117.6965 129.2528 m
88.3913 129.2528 l
88.3913 129.7528 l
117.6965 129.7528 l
f*
148.3345 141.7527 m
148.3345 129.2528 l
147.8344 129.2528 l
147.8344 141.7527 l
f*
147.8344 129.2528 m
118.1965 129.2528 l
118.1965 129.7528 l
147.8344 129.7528 l
f*
178.4724 141.7527 m
178.4724 129.2528 l
177.9724 129.2528 l
177.9724 141.7527 l
f*
177.9724 129.2528 m
148.3345 129.2528 l
148.3345 129.7528 l
177.9724 129.7528 l
f*
208.6104 141.7527 m
208.6104 129.2528 l
208.1103 129.2528 l
208.1103 141.7527 l
f*
208.1103 129.2528 m
178.4724 129.2528 l
178.4724 129.7528 l
208.1103 129.7528 l
f*
238.7483 141.7527 m
238.7483 129.2528 l
238.2483 129.2528 l
238.2483 141.7527 l
f*
238.2483 129.2528 m
208.6104 129.2528 l
208.6104 129.7528 l
238.2483 129.7528 l
f*
268.8863 141.7527 m
268.8863 129.2528 l
268.3862 129.2528 l
268.3862 141.7527 l
f*
268.3862 129.2528 m
238.7483 129.2528 l
238.7483 129.7528 l
268.3862 129.7528 l
f*
299.0242 141.7527 m
299.0242 129.2528 l
298.5242 129.2528 l
298.5242 141.7527 l
f*
298.5242 129.2528 m
268.8863 129.2528 l
268.8863 129.7528 l
298.5242 129.7528 l
f*
329.1622 141.7527 m
329.1622 129.2528 l
328.6621 129.2528 l
328.6621 141.7527 l
f*
328.6621 129.2528 m
299.0242 129.2528 l
299.0242 129.7528 l
328.6621 129.7528 l
f*
359.3001 141.7527 m
359.3001 129.2528 l
358.8001 129.2528 l
358.8001 141.7527 l
f*
358.8001 129.2528 m
329.1622 129.2528 l
329.1622 129.7528 l
358.8001 129.7528 l
f*
389.4381 141.7527 m
389.4381 129.2528 l
388.938 129.2528 l
388.938 141.7527 l
f*
388.938 129.2528 m
359.3001 129.2528 l
359.3001 129.7528 l
388.938 129.7528 l
f*
419.576 141.7527 m
419.576 129.2528 l
419.076 129.2528 l
419.076 141.7527 l
f*
419.076 129.2528 m
389.4381 129.2528 l
389.4381 129.7528 l
419.076 129.7528 l
f*
449.714 141.7527 m
449.714 129.2528 l
449.214 129.2528 l
449.214 141.7527 l
f*
449.214 129.2528 m
419.576 129.2528 l
419.576 129.7528 l
449.214 129.7528 l
f*
479.8519 141.7527 m
479.8519 129.2528 l
479.3519 129.2528 l
479.3519 141.7527 l
f*
479.3519 129.2528 m
449.714 129.2528 l
449.714 129.7528 l
479.3519 129.7528 l
f*
512.0668 141.7527 m
512.0668 129.2528 l
511.5668 129.2528 l
511.5668 141.7527 l
f*
511.5668 129.2528 m
479.8519 129.2528 l
479.8519 129.7528 l
511.5668 129.7528 l
f*
544.2817 141.7527 m
544.2817 129.2528 l
543.7817 129.2528 l
543.7817 141.7527 l
f*
543.7817 129.2528 m
512.0668 129.2528 l
512.0668 129.7528 l
543.7817 129.7528 l
f*
575.9966 129.2528 m
544.2817 129.2528 l
544.2817 129.7528 l
575.9966 129.7528 l
f*
88.3913 129.2528 m
88.3913 116.7528 l
87.8913 116.7528 l
87.8913 129.2528 l
f*
87.8913 116.7528 m
36 116.7528 l
36 117.2529 l
87.8913 117.2529 l
f*
118.1965 129.2528 m
118.1965 116.7528 l
117.6965 116.7528 l
117.6965 129.2528 l
f*
117.6965 116.7528 m
88.3913 116.7528 l
88.3913 117.2529 l
117.6965 117.2529 l
f*
148.3345 129.2528 m
148.3345 116.7528 l
147.8344 116.7528 l
147.8344 129.2528 l
f*
147.8344 116.7528 m
118.1965 116.7528 l
118.1965 117.2529 l
147.8344 117.2529 l
f*
178.4724 129.2528 m
178.4724 116.7528 l
177.9724 116.7528 l
177.9724 129.2528 l
f*
177.9724 116.7528 m
148.3345 116.7528 l
148.3345 117.2529 l
177.9724 117.2529 l
f*
208.6104 129.2528 m
208.6104 116.7528 l
208.1103 116.7528 l
208.1103 129.2528 l
f*
208.1103 116.7528 m
178.4724 116.7528 l
178.4724 117.2529 l
208.1103 117.2529 l
f*
238.7483 129.2528 m
238.7483 116.7528 l
238.2483 116.7528 l
238.2483 129.2528 l
f*
238.2483 116.7528 m
208.6104 116.7528 l
208.6104 117.2529 l
238.2483 117.2529 l
f*
268.8863 129.2528 m
268.8863 116.7528 l
268.3862 116.7528 l
268.3862 129.2528 l
f*
268.3862 116.7528 m
238.7483 116.7528 l
238.7483 117.2529 l
268.3862 117.2529 l
f*
299.0242 129.2528 m
299.0242 116.7528 l
298.5242 116.7528 l
298.5242 129.2528 l
f*
298.5242 116.7528 m
268.8863 116.7528 l
268.8863 117.2529 l
298.5242 117.2529 l
f*
329.1622 129.2528 m
329.1622 116.7528 l
328.6621 116.7528 l
328.6621 129.2528 l
f*
328.6621 116.7528 m
299.0242 116.7528 l
299.0242 117.2529 l
328.6621 117.2529 l
f*
359.3001 129.2528 m
359.3001 116.7528 l
358.8001 116.7528 l
358.8001 129.2528 l
f*
358.8001 116.7528 m
329.1622 116.7528 l
329.1622 117.2529 l
358.8001 117.2529 l
f*
389.4381 129.2528 m
389.4381 116.7528 l
388.938 116.7528 l
388.938 129.2528 l
f*
388.938 116.7528 m
359.3001 116.7528 l
359.3001 117.2529 l
388.938 117.2529 l
f*
419.576 129.2528 m
419.576 116.7528 l
419.076 116.7528 l
419.076 129.2528 l
f*
419.076 116.7528 m
389.4381 116.7528 l
389.4381 117.2529 l
419.076 117.2529 l
f*
449.714 129.2528 m
449.714 116.7528 l
449.214 116.7528 l
449.214 129.2528 l
f*
449.214 116.7528 m
419.576 116.7528 l
419.576 117.2529 l
449.214 117.2529 l
f*
479.8519 129.2528 m
479.8519 116.7528 l
479.3519 116.7528 l
479.3519 129.2528 l
f*
479.3519 116.7528 m
449.714 116.7528 l
449.714 117.2529 l
479.3519 117.2529 l
f*
512.0668 129.2528 m
512.0668 116.7528 l
511.5668 116.7528 l
511.5668 129.2528 l
f*
511.5668 116.7528 m
479.8519 116.7528 l
479.8519 117.2529 l
511.5668 117.2529 l
f*
544.2817 129.2528 m
544.2817 116.7528 l
543.7817 116.7528 l
543.7817 129.2528 l
f*
543.7817 116.7528 m
512.0668 116.7528 l
512.0668 117.2529 l
543.7817 117.2529 l
f*
575.9966 116.7528 m
544.2817 116.7528 l
544.2817 117.2529 l
575.9966 117.2529 l
f*
575.9966 95.0026 m
36 95.0026 l
36 95.5026 l
575.9966 95.5026 l
f*
0.83 0.64 0.02 0 k
36 81.9213 m
186.7465 81.9213 l
h
f*
0 g
7.9999 0 0 7.9999 36 234.5952 cm
BT
/F12 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Table)Tj
2.5512 0 Td
(1.)Tj
0.9567 0 Td
(sMAPE)Tj
3.3519 0 Td
(across)Tj
2.778 0 Td
(the)Tj
1.5307 0 Td
(3003)Tj
2.1969 0 Td
(time)Tj
2.1118 0 Td
(series)Tj
2.5229 0 Td
(of)Tj
1.063 0 Td
(the)Tj
1.5307 0 Td
(M3)Tj
1.5945 0 Td
(competitio)Tj
4.5071 0 Td
(n.)Tj
0 Tc
-25.2781 -1.8567 Td
(Method)Tj
19.7222 0 Td
(Forecastin)Tj
4.3795 0 Td
(g)Tj
0.7158 0 Td
(horizon)Tj
22.9679 0 Td
(Average)Tj
3.6355 0 Td
(of)Tj
1.0842 0 Td
(foreca)Tj
2.5796 0 Td
(sting)Tj
2.3031 0 Td
(horizons)Tj
-49.3444 -1.559 Td
(1)Tj
3.7701 0 Td
(2)Tj
3.7701 0 Td
(3)Tj
3.763 0 Td
(4)Tj
3.7701 0 Td
(5)Tj
3.763 0 Td
(6)Tj
3.7701 0 Td
(8)Tj
3.267 0 Td
(12)Tj
3.7701 0 Td
(15)Tj
3.763 0 Td
(18)Tj
3.2599 0 Td
(14)Tj
3.7701 0 Td
(16)Tj
3.763 0 Td
(18)Tj
3.5292 0 Td
(112)Tj
4.0323 0 Td
(115)Tj
4.0252 0 Td
(118)Tj
/F5 1 Tf
-65.2469 -1.5662 Td
(Theta)Tj
8.0079 0 Td
(8.4)Tj
3.763 0 Td
(9.6)Tj
3.2953 0 Td
(11.3)Tj
3.763 0 Td
(12.5)Tj
3.7701 0 Td
(13.2)Tj
3.7631 0 Td
(14.0)Tj
3.7701 0 Td
(12.0)Tj
3.7701 0 Td
(13.2)Tj
3.763 0 Td
(16.2)Tj
3.7701 0 Td
(18.2)Tj
3.763 0 Td
(10.4)Tj
3.7701 0 Td
(11.5)Tj
3.7701 0 Td
(11.6)Tj
3.8977 0 Td
(12.0)Tj
4.0252 0 Td
(12.4)Tj
4.0253 0 Td
(13.0)Tj
-64.6871 -1.559 Td
(Damped)Tj
8.0079 0 Td
(8.8)Tj
3.2882 0 Td
(10.0)Tj
3.7701 0 Td
(12.0)Tj
3.763 0 Td
(13.5)Tj
3.7701 0 Td
(13.7)Tj
3.7631 0 Td
(14.3)Tj
3.7701 0 Td
(12.5)Tj
3.7701 0 Td
(13.9)Tj
3.763 0 Td
(17.5)Tj
3.7701 0 Td
(18.9)Tj
3.763 0 Td
(11.1)Tj
3.7701 0 Td
(12.0)Tj
3.7701 0 Td
(12.1)Tj
3.8977 0 Td
(12.4)Tj
4.0252 0 Td
(13.0)Tj
4.0253 0 Td
(13.6)Tj
-64.6871 -1.5662 Td
(Box-Jenkin)Tj
4.5354 0 Td
(s)Tj
3.4725 0 Td
(9.2)Tj
3.2882 0 Td
(10.4)Tj
3.7701 0 Td
(12.2)Tj
3.763 0 Td
(13.9)Tj
3.7701 0 Td
(14.0)Tj
3.7631 0 Td
(14.8)Tj
3.7701 0 Td
(13.0)Tj
3.7701 0 Td
(14.1)Tj
3.763 0 Td
(17.8)Tj
3.7701 0 Td
(19.3)Tj
3.763 0 Td
(11.4)Tj
3.7701 0 Td
(12.4)Tj
3.7701 0 Td
(12.5)Tj
3.8977 0 Td
(12.8)Tj
4.0252 0 Td
(13.4)Tj
4.0253 0 Td
(14.0)Tj
/F12 1 Tf
-64.6871 -1.5591 Td
(AANN)Tj
7.9866 0 Td
(9.0)Tj
3.267 0 Td
(10.4)Tj
3.7701 0 Td
(11.8)Tj
3.763 0 Td
(13.8)Tj
3.7701 0 Td
(13.8)Tj
3.7701 0 Td
(15.5)Tj
3.7631 0 Td
(13.4)Tj
3.7701 0 Td
(14.6)Tj
3.763 0 Td
(17.3)Tj
3.7701 0 Td
(19.6)Tj
3.7701 0 Td
(11.2)Tj
3.763 0 Td
(12.4)Tj
3.7701 0 Td
(12.6)Tj
3.8977 0 Td
(13.0)Tj
4.0252 0 Td
(13.5)Tj
4.0253 0 Td
(14.1)Tj
/F5 1 Tf
-64.6446 -1.5661 Td
(Single)Tj
8.0079 0 Td
(9.5)Tj
3.2882 0 Td
(10.6)Tj
3.7701 0 Td
(12.7)Tj
3.763 0 Td
(14.1)Tj
3.7701 0 Td
(14.3)Tj
3.7631 0 Td
(15.0)Tj
3.7701 0 Td
(13.3)Tj
3.7701 0 Td
(14.5)Tj
3.763 0 Td
(18.3)Tj
3.7701 0 Td
(19.4)Tj
3.763 0 Td
(11.7)Tj
3.7701 0 Td
(12.7)Tj
3.7701 0 Td
(12.8)Tj
3.8977 0 Td
(13.1)Tj
4.0252 0 Td
(13.7)Tj
4.0253 0 Td
(14.4)Tj
-64.6871 -1.5591 Td
(Holt)Tj
8.0079 0 Td
(9.0)Tj
3.2882 0 Td
(10.4)Tj
3.7701 0 Td
(12.8)Tj
3.763 0 Td
(14.5)Tj
3.7701 0 Td
(15.1)Tj
3.7631 0 Td
(15.8)Tj
3.7701 0 Td
(13.9)Tj
3.7701 0 Td
(14.8)Tj
3.763 0 Td
(18.8)Tj
3.7701 0 Td
(20.2)Tj
3.763 0 Td
(11.7)Tj
3.7701 0 Td
(12.9)Tj
3.7701 0 Td
(13.1)Tj
3.8977 0 Td
(13.4)Tj
4.0252 0 Td
(14.0)Tj
4.0253 0 Td
(14.6)Tj
-64.6871 -1.5661 Td
(Naive)Tj
2.5582 0 Td
(2)Tj
4.9678 0 Td
(10.5)Tj
3.7701 0 Td
(11.3)Tj
3.7701 0 Td
(13.6)Tj
3.763 0 Td
(15.1)Tj
3.7701 0 Td
(15.1)Tj
3.7631 0 Td
(15.9)Tj
3.7701 0 Td
(14.5)Tj
3.7701 0 Td
(16.0)Tj
3.763 0 Td
(19.3)Tj
3.7701 0 Td
(20.7)Tj
3.763 0 Td
(12.6)Tj
3.7701 0 Td
(13.6)Tj
3.7701 0 Td
(13.8)Tj
3.8977 0 Td
(14.2)Tj
4.0252 0 Td
(14.8)Tj
4.0253 0 Td
(15.5)Tj
-64.6871 -2.3386 Td
(NNs)Tj
2.0693 0 Td
(are)Tj
1.4669 0 Td
(defined)Tj
3.2457 0 Td
(with)Tj
2.0197 0 Td
(bold)Tj
2.0268 0 Td
(numbers.)Tj
0.83 0.64 0.02 0 k
/F8 1 Tf
-0.025 Tc
-10.8284 -2.2536 Td
(https://do)Tj
3.5575 0 Td
(i.org/10.1371/j)Tj
5.4425 0 Td
(ournal.pone)Tj
4.4079 0 Td
(.0194889.t001)Tj
ET
Q
q
1 j
1 J
0 w
576 737.1 m
36 737.1 l
36 737.6 l
576 737.6 l
f*
36 741.2598 107.1496 23.6976 re
W* n
q
107.0929 0 0 23.6409 36 741.3165 cm
q
/I0 Do
Q
Q
Q
q
0 0 612 792 re
W* n
1 j
1 J
0 w
7.9999 0 0 7.9999 442.6015 745.7952 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Statistical)Tj
4.422 0 Td
(and)Tj
1.8567 0 Td
(ML)Tj
1.5875 0 Td
(forecasting)Tj
5.0244 0 Td
(methods)Tj
ET
Q
q
1 j
1 J
0 w
36 48.0002 m
576 48.0002 l
576 47.5002 l
36 47.5002 l
f*
0.83 0.64 0.02 0 k
81.5811 34.9228 m
237.8835 34.9228 l
h
f*
0 g
7.9999 0 0 7.9999 36 36 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(PLOS)Tj
2.8559 0 Td
(ONE)Tj
2.3669 0 Td
(|)Tj
0.83 0.64 0.02 0 k
0.4748 0 Td
(https://doi.or)Tj
5.4142 0 Td
(g/10.137)Tj
3.8198 0 Td
(1/journal.po)Tj
5.1236 0 Td
(ne.01948)Tj
4.089 0 Td
(89)Tj
0 g
2.0906 0 Td
(March)Tj
2.9622 0 Td
(27,)Tj
1.5874 0 Td
(2018)Tj
34.3562 0 Td
(3)Tj
0.7654 0 Td
(/)Tj
ET
endstream
endobj
62 0 obj
<>stream
endstream
endobj
63 0 obj
<>stream
endstream
endobj
64 0 obj
<>stream
endstream
endobj
65 0 obj
<>stream
endstream
endobj
66 0 obj
<>stream
endstream
endobj
67 0 obj
<>stream
endstream
endobj
68 0 obj
<>stream
endstream
endobj
69 0 obj
<>stream
endstream
endobj
70 0 obj
<>stream
endstream
endobj
71 0 obj
<>stream
endstream
endobj
72 0 obj
<>stream
endstream
endobj
73 0 obj
<>stream
endstream
endobj
74 0 obj
<>stream
endstream
endobj
75 0 obj
<>stream
endstream
endobj
76 0 obj
<>stream
endstream
endobj
77 0 obj
<>stream
endstream
endobj
78 0 obj
<>stream
endstream
endobj
79 0 obj
<>stream
endstream
endobj
80 0 obj
<>stream
BT
66.402 0 Td
(26)Tj
ET
Q
endstream
endobj
81 0 obj
<>/XObject<>>>/CropBox[0 0 612 792]/MediaBox[0 0 612 792]/Parent 10 0 R/Annots 82 0 R/Contents 83 0 R/TrimBox[0 0 612 792]>>
endobj
82 0 obj
[84 0 R 85 0 R 86 0 R 87 0 R 88 0 R 89 0 R 90 0 R 91 0 R 92 0 R 93 0 R]
endobj
84 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref010)>>
endobj
85 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
86 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref028)>>
endobj
87 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
88 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
89 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref029)>>
endobj
90 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref030)>>
endobj
91 0 obj
<>/Border[0 0 0]/Dest(Lpone.0194889.t002)>>
endobj
92 0 obj
<>/Border[0 0 0]/A 94 0 R>>
endobj
94 0 obj
<>
endobj
93 0 obj
<>/Border[0 0 0]/A 95 0 R>>
endobj
95 0 obj
<>
endobj
83 0 obj
[96 0 R 97 0 R 98 0 R 99 0 R 100 0 R 101 0 R 102 0 R 103 0 R]
endobj
96 0 obj
<>stream
q
0.83 0.64 0.02 0 k
203.4142 468.9638 m
212.9386 468.9638 l
h
f*
538.526 442.9417 m
548.0504 442.9417 l
h
f*
552.4724 442.9417 m
561.9969 442.9417 l
h
f*
357.9591 369.9213 m
367.4835 369.9213 l
h
f*
451.2756 185.8961 m
460.8 185.8961 l
h
f*
465.2787 185.8961 m
474.7465 185.8961 l
h
f*
479.2252 185.8961 m
488.7496 185.8961 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 200.0125 470.0409 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
([)Tj
0.83 0.64 0.02 0 k
(10)Tj
0 g
(].)Tj
2.0749 0 Td
(Their)Tj
2.4208 0 Td
(performance)Tj
5.3461 0 Td
(cannot)Tj
2.982 0 Td
(be)Tj
1.1509 0 Td
(classified)Tj
3.821 0 Td
(yet)Tj
1.3947 0 Td
(as)Tj
1.0148 0 Td
(a)Tj
0.6519 0 Td
(breakthrough)Tj
5.6806 0 Td
(but)Tj
1.5534 0 Td
(at)Tj
0.9524 0 Td
(the)Tj
1.4684 0 Td
(same)Tj
2.2563 0 Td
(time)Tj
2.0296 0 Td
(they)Tj
-34.7978 -1.2982 Td
(are)Tj
1.4456 0 Td
(still)Tj
1.6384 0 Td
(used)Tj
2.0636 0 Td
(while)Tj
2.3698 0 Td
(there)Tj
2.262 0 Td
(are)Tj
1.4513 0 Td
(indications)Tj
4.6658 0 Td
(that)Tj
1.7802 0 Td
(such)Tj
2.0579 0 Td
(usage)Tj
2.4321 0 Td
(will)Tj
1.6668 0 Td
(increase)Tj
3.4696 0 Td
(over)Tj
1.9786 0 Td
(time)Tj
2.0295 0 Td
(as)Tj
1.0148 0 Td
(newer)Tj
2.6703 0 Td
(ML)Tj
-34.9963 -1.3039 Td
(methods)Tj
3.685 0 Td
(are)Tj
1.4456 0 Td
(introduced)Tj
4.6431 0 Td
(and)Tj
1.7292 0 Td
(more)Tj
2.3414 0 Td
(ways)Tj
2.1543 0 Td
(are)Tj
1.4513 0 Td
(being)Tj
2.4321 0 Td
(devised)Tj
3.2032 0 Td
(to)Tj
1.0261 0 Td
(improve)Tj
3.583 0 Td
(their)Tj
2.1033 0 Td
(accuracy)Tj
3.7133 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(,)Tj
0.83 0.64 0.02 0 k
1.7348 0 Td
(28)Tj
0 g
(])Tj
-35.2457 -1.2983 Td
(and)Tj
1.7291 0 Td
(computational)Tj
6.0491 0 Td
(efficiency.)Tj
ET
Q
q
1 j
1 J
0 w
11.9999 0 0 11.9999 200.0125 402.0094 cm
BT
/F2 1 Tf
1 TL
-0.0033 Tc
0 0 Td
(3)Tj
0.7653 0 Td
(The)Tj
1.9937 0 Td
(major)Tj
2.9197 0 Td
(contribution)Tj
6.0284 0 Td
(of)Tj
1.1575 0 Td
(this)Tj
1.989 0 Td
(paper:)Tj
3.2504 0 Td
(Comparing)Tj
5.4662 0 Td
(the)Tj
1.7055 0 Td
(performance)Tj
-25.2757 -1.1669 Td
(of)Tj
1.1574 0 Td
(ML)Tj
1.663 0 Td
(forecasting)Tj
5.5607 0 Td
(methods)Tj
4.3607 0 Td
(with)Tj
2.2157 0 Td
(traditional)Tj
5.0221 0 Td
(statistical)Tj
4.7859 0 Td
(ones)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 200.0125 370.9984 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(As)Tj
1.2642 0 Td
(highlighted)Tj
4.7622 0 Td
(in)Tj
1.0374 0 Td
(the)Tj
1.4684 0 Td
(previous)Tj
3.651 0 Td
(section,)Tj
3.2711 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(])Tj
1.8539 0 Td
(compared)Tj
4.2463 0 Td
(in)Tj
1.0318 0 Td
(their)Tj
2.1089 0 Td
(study)Tj
2.3925 0 Td
(the)Tj
1.4683 0 Td
(performance)Tj
5.3461 0 Td
(of)Tj
1.0148 0 Td
(eight)Tj
-34.9169 -1.2982 Td
(families)Tj
3.3278 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(ML)Tj
1.6498 0 Td
(model)Tj
2.7439 0 Td
(regarding)Tj
4.0932 0 Td
(their)Tj
2.109 0 Td
(accuracy:)Tj
-16.4068 -1.8992 Td
(1.)Tj
1.2018 0 Td
(Multi-Layer)Tj
5.023 0 Td
(Perceptron)Tj
4.6601 0 Td
(\(MLP\))Tj
-10.8849 -1.9049 Td
(2.)Tj
1.2018 0 Td
(Bayesian)Tj
3.7191 0 Td
(Neural)Tj
2.9593 0 Td
(Network)Tj
3.7361 0 Td
(\(BNN\))Tj
-11.6163 -1.8992 Td
(3.)Tj
1.2018 0 Td
(Radial)Tj
2.7496 0 Td
(Basis)Tj
2.2224 0 Td
(Functions)Tj
4.2292 0 Td
(\(RBF\))Tj
-10.403 -1.8992 Td
(4.)Tj
1.2018 0 Td
(Generalized)Tj
5.0117 0 Td
(Regression)Tj
4.5694 0 Td
(Neural)Tj
2.9593 0 Td
(Networks)Tj
4.0989 0 Td
(\(GRNN\),)Tj
3.9345 0 Td
(also)Tj
1.7688 0 Td
(called)Tj
2.5228 0 Td
(kernel)Tj
2.7269 0 Td
(regression)Tj
-28.7941 -1.8992 Td
(5.)Tj
1.2018 0 Td
(K-Nearest)Tj
4.2917 0 Td
(Neighbor)Tj
4.0251 0 Td
(regression)Tj
4.32 0 Td
(\(KNN\))Tj
-13.8386 -1.8992 Td
(6.)Tj
1.2018 0 Td
(CART)Tj
2.8006 0 Td
(regression)Tj
4.3143 0 Td
(trees)Tj
2.0977 0 Td
(\(CART\))Tj
-10.4144 -1.8992 Td
(7.)Tj
1.2018 0 Td
(Support)Tj
3.4299 0 Td
(Vector)Tj
2.9424 0 Td
(Regression)Tj
4.5694 0 Td
(\(SVR\),)Tj
2.914 0 Td
(and)Tj
-15.0575 -1.8992 Td
(8.)Tj
1.2018 0 Td
(Gaussian)Tj
3.8665 0 Td
(Processes)Tj
4.0081 0 Td
(\(GP\))Tj
-9.0764 -1.9049 Td
(\(for)Tj
1.7234 0 Td
(more)Tj
2.3414 0 Td
(information)Tj
5.0797 0 Td
(regarding)Tj
4.0932 0 Td
(these)Tj
2.2507 0 Td
(models)Tj
3.1067 0 Td
(see)Tj
1.4287 0 Td
(the)Tj
1.4683 0 Td
(work)Tj
2.279 0 Td
(of)Tj
1.0148 0 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(,)Tj
0.83 0.64 0.02 0 k
1.7405 0 Td
(29)Tj
0 g
(,)Tj
0.83 0.64 0.02 0 k
1.3946 0 Td
(30)Tj
0 g
(])Tj
1.5081 0 Td
(as)Tj
1.0148 0 Td
(well)Tj
1.8255 0 Td
(as)Tj
1.0147 0 Td
(our)Tj
1.6215 0 Td
(own)Tj
-34.9056 -1.2982 Td
(descriptions)Tj
5.0909 0 Td
(in)Tj
1.0375 0 Td
(section)Tj
3.0501 0 Td
(3.3)Tj
1.3946 0 Td
(below\).)Tj
-9.3769 -1.2983 Td
(In)Tj
1.1111 0 Td
(their)Tj
2.109 0 Td
(paper,)Tj
2.7099 0 Td
(Ahmed)Tj
3.2031 0 Td
(and)Tj
1.7292 0 Td
(co-authors)Tj
4.524 0 Td
(used)Tj
2.0636 0 Td
(a)Tj
0.652 0 Td
(subset)Tj
2.6986 0 Td
(of)Tj
1.0148 0 Td
(1045)Tj
2.1259 0 Td
(series)Tj
2.4265 0 Td
(\(the)Tj
1.8085 0 Td
(same)Tj
2.2563 0 Td
(ones)Tj
2.0636 0 Td
(being)Tj
-33.6923 -1.2982 Td
(used)Tj
2.0579 0 Td
(in)Tj
1.0375 0 Td
(our)Tj
1.627 0 Td
(study\),)Tj
2.9537 0 Td
(selected)Tj
3.3449 0 Td
(from)Tj
2.2053 0 Td
(the)Tj
1.474 0 Td
(monthly)Tj
3.6227 0 Td
(ones)Tj
2.0579 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4684 0 Td
(M3)Tj
1.5873 0 Td
(Competition)Tj
5.3405 0 Td
(so)Tj
1.0885 0 Td
(that)Tj
1.7745 0 Td
(they)Tj
1.9275 0 Td
(have)Tj
2.0579 0 Td
(a)Tj
-36.6403 -1.304 Td
(length)Tj
2.7269 0 Td
(of)Tj
1.0148 0 Td
(between)Tj
3.5319 0 Td
(81)Tj
1.1679 0 Td
(and)Tj
1.7291 0 Td
(126)Tj
1.6497 0 Td
(months.)Tj
3.5093 0 Td
(However,)Tj
4.0762 0 Td
(before)Tj
2.7383 0 Td
(computing)Tj
4.5977 0 Td
(the)Tj
1.4684 0 Td
(18)Tj
1.1678 0 Td
(forecasts,)Tj
3.9175 0 Td
(they)Tj
1.9219 0 Td
(pre-)Tj
-35.2174 -1.2982 Td
(processed)Tj
4.1328 0 Td
(the)Tj
1.4684 0 Td
(series)Tj
2.4321 0 Td
(in)Tj
1.0318 0 Td
(order)Tj
2.4208 0 Td
(to)Tj
1.0261 0 Td
(achieve)Tj
3.1748 0 Td
(stationarity)Tj
4.7622 0 Td
(in)Tj
1.0318 0 Td
(their)Tj
2.1089 0 Td
(mean)Tj
2.4491 0 Td
(and)Tj
1.7292 0 Td
(variance.)Tj
3.7984 0 Td
(This)Tj
1.9899 0 Td
(was)Tj
1.7008 0 Td
(done)Tj
-35.2571 -1.2983 Td
(using)Tj
2.3867 0 Td
(the)Tj
1.4683 0 Td
(log)Tj
1.44 0 Td
(transformation,)Tj
6.5027 0 Td
(then)Tj
2.0182 0 Td
(deseasonalization)Tj
7.217 0 Td
(and)Tj
1.7348 0 Td
(finally)Tj
2.7042 0 Td
(scaling,)Tj
3.1918 0 Td
(while)Tj
2.3641 0 Td
(first)Tj
1.8085 0 Td
(differences)Tj
-32.8363 -1.3039 Td
(were)Tj
2.1203 0 Td
(also)Tj
1.7688 0 Td
(considered)Tj
4.6034 0 Td
(for)Tj
1.3833 0 Td
(removing)Tj
4.0762 0 Td
(the)Tj
1.4683 0 Td
(component)Tj
4.8132 0 Td
(of)Tj
1.0148 0 Td
(trend.)Tj
2.6192 0 Td
(Consequently,)Tj
5.9527 0 Td
(they)Tj
1.9276 0 Td
(calculated)Tj
-31.7478 -1.2983 Td
(one-step-ahead)Tj
6.3438 0 Td
(forecasts)Tj
3.6907 0 Td
(for)Tj
1.3833 0 Td
(each)Tj
2.0296 0 Td
(one)Tj
1.7008 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(1045)Tj
2.1203 0 Td
(series.)Tj
2.6532 0 Td
(The)Tj
1.7859 0 Td
(sMAPE)Tj
3.2825 0 Td
(and)Tj
1.7348 0 Td
(ranking)Tj
3.3505 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(eight)Tj
ET
Q
q
0.45 0.36 0.35 0.01 k
1 j
1 J
0 w
35.9997 707.3382 m
575.9997 707.3382 l
575.9997 706.8382 l
35.9997 706.8382 l
f*
110.226 706.8382 m
110.226 694.3382 l
109.726 694.3382 l
109.726 706.8382 l
f*
109.726 694.3382 m
35.9997 694.3382 l
35.9997 694.8383 l
109.726 694.8383 l
f*
344.8996 706.8382 m
344.8996 694.3382 l
344.3995 694.3382 l
344.3995 706.8382 l
f*
344.3995 694.3382 m
110.226 694.3382 l
110.226 694.8383 l
344.3995 694.8383 l
f*
575.9991 694.3382 m
344.8996 694.3382 l
344.8996 694.8383 l
575.9991 694.8383 l
f*
110.226 694.3382 m
110.226 681.8383 l
109.726 681.8383 l
109.726 694.3382 l
f*
109.726 681.8383 m
35.9997 681.8383 l
35.9997 682.3383 l
109.726 682.3383 l
f*
181.0434 694.3382 m
181.0434 681.8383 l
180.5434 681.8383 l
180.5434 694.3382 l
f*
180.5434 681.8383 m
110.226 681.8383 l
110.226 682.3383 l
180.5434 682.3383 l
f*
241.8922 694.3382 m
241.8922 681.8383 l
241.3922 681.8383 l
241.3922 694.3382 l
f*
241.3922 681.8383 m
181.0434 681.8383 l
181.0434 682.3383 l
241.3922 682.3383 l
f*
297.0924 694.3382 m
297.0924 681.8383 l
296.5924 681.8383 l
296.5924 694.3382 l
f*
296.5924 681.8383 m
241.8922 681.8383 l
241.8922 682.3383 l
296.5924 682.3383 l
f*
344.8996 694.3382 m
344.8996 681.8383 l
344.3995 681.8383 l
344.3995 694.3382 l
f*
344.3995 681.8383 m
297.0924 681.8383 l
297.0924 682.3383 l
344.3995 682.3383 l
f*
415.7169 694.3382 m
415.7169 681.8383 l
415.2169 681.8383 l
415.2169 694.3382 l
f*
415.2169 681.8383 m
344.8996 681.8383 l
344.8996 682.3383 l
415.2169 682.3383 l
f*
476.5657 694.3382 m
476.5657 681.8383 l
476.0657 681.8383 l
476.0657 694.3382 l
f*
476.0657 681.8383 m
415.7169 681.8383 l
415.7169 682.3383 l
476.0657 682.3383 l
f*
531.7659 694.3382 m
531.7659 681.8383 l
531.2659 681.8383 l
531.2659 694.3382 l
f*
531.2659 681.8383 m
476.5657 681.8383 l
476.5657 682.3383 l
531.2659 682.3383 l
f*
575.9991 681.8383 m
531.7659 681.8383 l
531.7659 682.3383 l
575.9991 682.3383 l
f*
110.226 681.8383 m
110.226 669.3384 l
109.726 669.3384 l
109.726 681.8383 l
f*
109.726 669.3384 m
35.9997 669.3384 l
35.9997 669.8384 l
109.726 669.8384 l
f*
181.0434 681.8383 m
181.0434 669.3384 l
180.5434 669.3384 l
180.5434 681.8383 l
f*
180.5434 669.3384 m
110.226 669.3384 l
110.226 669.8384 l
180.5434 669.8384 l
f*
241.8922 681.8383 m
241.8922 669.3384 l
241.3922 669.3384 l
241.3922 681.8383 l
f*
241.3922 669.3384 m
181.0434 669.3384 l
181.0434 669.8384 l
241.3922 669.8384 l
f*
297.0924 681.8383 m
297.0924 669.3384 l
296.5924 669.3384 l
296.5924 681.8383 l
f*
296.5924 669.3384 m
241.8922 669.3384 l
241.8922 669.8384 l
296.5924 669.8384 l
f*
344.8996 681.8383 m
344.8996 669.3384 l
344.3995 669.3384 l
344.3995 681.8383 l
f*
344.3995 669.3384 m
297.0924 669.3384 l
297.0924 669.8384 l
344.3995 669.8384 l
f*
415.7169 681.8383 m
415.7169 669.3384 l
415.2169 669.3384 l
415.2169 681.8383 l
f*
415.2169 669.3384 m
344.8996 669.3384 l
344.8996 669.8384 l
415.2169 669.8384 l
f*
476.5657 681.8383 m
476.5657 669.3384 l
476.0657 669.3384 l
476.0657 681.8383 l
f*
476.0657 669.3384 m
415.7169 669.3384 l
415.7169 669.8384 l
476.0657 669.8384 l
f*
531.7659 681.8383 m
531.7659 669.3384 l
531.2659 669.3384 l
531.2659 681.8383 l
f*
531.2659 669.3384 m
476.5657 669.3384 l
476.5657 669.8384 l
531.2659 669.8384 l
f*
575.9991 669.3384 m
531.7659 669.3384 l
531.7659 669.8384 l
575.9991 669.8384 l
f*
110.226 669.3384 m
110.226 656.8384 l
109.726 656.8384 l
109.726 669.3384 l
f*
109.726 656.8384 m
35.9997 656.8384 l
35.9997 657.3385 l
109.726 657.3385 l
f*
181.0434 669.3384 m
181.0434 656.8384 l
180.5434 656.8384 l
180.5434 669.3384 l
f*
180.5434 656.8384 m
110.226 656.8384 l
110.226 657.3385 l
180.5434 657.3385 l
f*
241.8922 669.3384 m
241.8922 656.8384 l
241.3922 656.8384 l
241.3922 669.3384 l
f*
241.3922 656.8384 m
181.0434 656.8384 l
181.0434 657.3385 l
241.3922 657.3385 l
f*
297.0924 669.3384 m
297.0924 656.8384 l
296.5924 656.8384 l
296.5924 669.3384 l
f*
296.5924 656.8384 m
241.8922 656.8384 l
241.8922 657.3385 l
296.5924 657.3385 l
f*
344.8996 669.3384 m
344.8996 656.8384 l
344.3995 656.8384 l
344.3995 669.3384 l
f*
344.3995 656.8384 m
297.0924 656.8384 l
297.0924 657.3385 l
344.3995 657.3385 l
f*
415.7169 669.3384 m
415.7169 656.8384 l
415.2169 656.8384 l
415.2169 669.3384 l
f*
415.2169 656.8384 m
344.8996 656.8384 l
344.8996 657.3385 l
415.2169 657.3385 l
f*
476.5657 669.3384 m
476.5657 656.8384 l
476.0657 656.8384 l
476.0657 669.3384 l
f*
476.0657 656.8384 m
415.7169 656.8384 l
415.7169 657.3385 l
476.0657 657.3385 l
f*
531.7659 669.3384 m
531.7659 656.8384 l
531.2659 656.8384 l
531.2659 669.3384 l
f*
531.2659 656.8384 m
476.5657 656.8384 l
476.5657 657.3385 l
531.2659 657.3385 l
f*
575.9991 656.8384 m
531.7659 656.8384 l
531.7659 657.3385 l
575.9991 657.3385 l
f*
110.226 656.8384 m
110.226 644.3385 l
109.726 644.3385 l
109.726 656.8384 l
f*
109.726 644.3385 m
35.9997 644.3385 l
35.9997 644.8385 l
109.726 644.8385 l
f*
181.0434 656.8384 m
181.0434 644.3385 l
180.5434 644.3385 l
180.5434 656.8384 l
f*
180.5434 644.3385 m
110.226 644.3385 l
110.226 644.8385 l
180.5434 644.8385 l
f*
241.8922 656.8384 m
241.8922 644.3385 l
241.3922 644.3385 l
241.3922 656.8384 l
f*
241.3922 644.3385 m
181.0434 644.3385 l
181.0434 644.8385 l
241.3922 644.8385 l
f*
297.0924 656.8384 m
297.0924 644.3385 l
296.5924 644.3385 l
296.5924 656.8384 l
f*
296.5924 644.3385 m
241.8922 644.3385 l
241.8922 644.8385 l
296.5924 644.8385 l
f*
344.8996 656.8384 m
344.8996 644.3385 l
344.3995 644.3385 l
344.3995 656.8384 l
f*
344.3995 644.3385 m
297.0924 644.3385 l
297.0924 644.8385 l
344.3995 644.8385 l
f*
415.7169 656.8384 m
415.7169 644.3385 l
415.2169 644.3385 l
415.2169 656.8384 l
f*
415.2169 644.3385 m
344.8996 644.3385 l
344.8996 644.8385 l
415.2169 644.8385 l
f*
476.5657 656.8384 m
476.5657 644.3385 l
476.0657 644.3385 l
476.0657 656.8384 l
f*
476.0657 644.3385 m
415.7169 644.3385 l
415.7169 644.8385 l
476.0657 644.8385 l
f*
531.7659 656.8384 m
531.7659 644.3385 l
531.2659 644.3385 l
531.2659 656.8384 l
f*
531.2659 644.3385 m
476.5657 644.3385 l
476.5657 644.8385 l
531.2659 644.8385 l
f*
575.9991 644.3385 m
531.7659 644.3385 l
531.7659 644.8385 l
575.9991 644.8385 l
f*
110.226 644.3385 m
110.226 631.8386 l
109.726 631.8386 l
109.726 644.3385 l
f*
109.726 631.8386 m
35.9997 631.8386 l
35.9997 632.3386 l
109.726 632.3386 l
f*
181.0434 644.3385 m
181.0434 631.8386 l
180.5434 631.8386 l
180.5434 644.3385 l
f*
180.5434 631.8386 m
110.226 631.8386 l
110.226 632.3386 l
180.5434 632.3386 l
f*
241.8922 644.3385 m
241.8922 631.8386 l
241.3922 631.8386 l
241.3922 644.3385 l
f*
241.3922 631.8386 m
181.0434 631.8386 l
181.0434 632.3386 l
241.3922 632.3386 l
f*
297.0924 644.3385 m
297.0924 631.8386 l
296.5924 631.8386 l
296.5924 644.3385 l
f*
296.5924 631.8386 m
241.8922 631.8386 l
241.8922 632.3386 l
296.5924 632.3386 l
f*
344.8996 644.3385 m
344.8996 631.8386 l
344.3995 631.8386 l
344.3995 644.3385 l
f*
344.3995 631.8386 m
297.0924 631.8386 l
297.0924 632.3386 l
344.3995 632.3386 l
f*
415.7169 644.3385 m
415.7169 631.8386 l
415.2169 631.8386 l
415.2169 644.3385 l
f*
415.2169 631.8386 m
344.8996 631.8386 l
344.8996 632.3386 l
415.2169 632.3386 l
f*
476.5657 644.3385 m
476.5657 631.8386 l
476.0657 631.8386 l
476.0657 644.3385 l
f*
476.0657 631.8386 m
415.7169 631.8386 l
415.7169 632.3386 l
476.0657 632.3386 l
f*
531.7659 644.3385 m
531.7659 631.8386 l
531.2659 631.8386 l
531.2659 644.3385 l
f*
531.2659 631.8386 m
476.5657 631.8386 l
476.5657 632.3386 l
531.2659 632.3386 l
f*
575.9991 631.8386 m
531.7659 631.8386 l
531.7659 632.3386 l
575.9991 632.3386 l
f*
110.226 631.8386 m
110.226 619.3386 l
109.726 619.3386 l
109.726 631.8386 l
f*
109.726 619.3386 m
35.9997 619.3386 l
35.9997 619.8386 l
109.726 619.8386 l
f*
181.0434 631.8386 m
181.0434 619.3386 l
180.5434 619.3386 l
180.5434 631.8386 l
f*
180.5434 619.3386 m
110.226 619.3386 l
110.226 619.8386 l
180.5434 619.8386 l
f*
241.8922 631.8386 m
241.8922 619.3386 l
241.3922 619.3386 l
241.3922 631.8386 l
f*
241.3922 619.3386 m
181.0434 619.3386 l
181.0434 619.8386 l
241.3922 619.8386 l
f*
297.0924 631.8386 m
297.0924 619.3386 l
296.5924 619.3386 l
296.5924 631.8386 l
f*
296.5924 619.3386 m
241.8922 619.3386 l
241.8922 619.8386 l
296.5924 619.8386 l
f*
344.8996 631.8386 m
344.8996 619.3386 l
344.3995 619.3386 l
344.3995 631.8386 l
f*
344.3995 619.3386 m
297.0924 619.3386 l
297.0924 619.8386 l
344.3995 619.8386 l
f*
415.7169 631.8386 m
415.7169 619.3386 l
415.2169 619.3386 l
415.2169 631.8386 l
f*
415.2169 619.3386 m
344.8996 619.3386 l
344.8996 619.8386 l
415.2169 619.8386 l
f*
476.5657 631.8386 m
476.5657 619.3386 l
476.0657 619.3386 l
476.0657 631.8386 l
f*
476.0657 619.3386 m
415.7169 619.3386 l
415.7169 619.8386 l
476.0657 619.8386 l
f*
531.7659 631.8386 m
531.7659 619.3386 l
531.2659 619.3386 l
531.2659 631.8386 l
f*
531.2659 619.3386 m
476.5657 619.3386 l
476.5657 619.8386 l
531.2659 619.8386 l
f*
575.9991 619.3386 m
531.7659 619.3386 l
531.7659 619.8386 l
575.9991 619.8386 l
f*
110.226 619.3386 m
110.226 606.8387 l
109.726 606.8387 l
109.726 619.3386 l
f*
109.726 606.8387 m
35.9997 606.8387 l
35.9997 607.3387 l
109.726 607.3387 l
f*
181.0434 619.3386 m
181.0434 606.8387 l
180.5434 606.8387 l
180.5434 619.3386 l
f*
180.5434 606.8387 m
110.226 606.8387 l
110.226 607.3387 l
180.5434 607.3387 l
f*
241.8922 619.3386 m
241.8922 606.8387 l
241.3922 606.8387 l
241.3922 619.3386 l
f*
241.3922 606.8387 m
181.0434 606.8387 l
181.0434 607.3387 l
241.3922 607.3387 l
f*
297.0924 619.3386 m
297.0924 606.8387 l
296.5924 606.8387 l
296.5924 619.3386 l
f*
296.5924 606.8387 m
241.8922 606.8387 l
241.8922 607.3387 l
296.5924 607.3387 l
f*
344.8996 619.3386 m
344.8996 606.8387 l
344.3995 606.8387 l
344.3995 619.3386 l
f*
344.3995 606.8387 m
297.0924 606.8387 l
297.0924 607.3387 l
344.3995 607.3387 l
f*
415.7169 619.3386 m
415.7169 606.8387 l
415.2169 606.8387 l
415.2169 619.3386 l
f*
415.2169 606.8387 m
344.8996 606.8387 l
344.8996 607.3387 l
415.2169 607.3387 l
f*
476.5657 619.3386 m
476.5657 606.8387 l
476.0657 606.8387 l
476.0657 619.3386 l
f*
476.0657 606.8387 m
415.7169 606.8387 l
415.7169 607.3387 l
476.0657 607.3387 l
f*
531.7659 619.3386 m
531.7659 606.8387 l
531.2659 606.8387 l
531.2659 619.3386 l
f*
531.2659 606.8387 m
476.5657 606.8387 l
476.5657 607.3387 l
531.2659 607.3387 l
f*
575.9991 606.8387 m
531.7659 606.8387 l
531.7659 607.3387 l
575.9991 607.3387 l
f*
110.226 606.8387 m
110.226 594.3387 l
109.726 594.3387 l
109.726 606.8387 l
f*
109.726 594.3387 m
35.9997 594.3387 l
35.9997 594.8388 l
109.726 594.8388 l
f*
181.0434 606.8387 m
181.0434 594.3387 l
180.5434 594.3387 l
180.5434 606.8387 l
f*
180.5434 594.3387 m
110.226 594.3387 l
110.226 594.8388 l
180.5434 594.8388 l
f*
241.8922 606.8387 m
241.8922 594.3387 l
241.3922 594.3387 l
241.3922 606.8387 l
f*
241.3922 594.3387 m
181.0434 594.3387 l
181.0434 594.8388 l
241.3922 594.8388 l
f*
297.0924 606.8387 m
297.0924 594.3387 l
296.5924 594.3387 l
296.5924 606.8387 l
f*
296.5924 594.3387 m
241.8922 594.3387 l
241.8922 594.8388 l
296.5924 594.8388 l
f*
344.8996 606.8387 m
344.8996 594.3387 l
344.3995 594.3387 l
344.3995 606.8387 l
f*
344.3995 594.3387 m
297.0924 594.3387 l
297.0924 594.8388 l
344.3995 594.8388 l
f*
415.7169 606.8387 m
415.7169 594.3387 l
415.2169 594.3387 l
415.2169 606.8387 l
f*
415.2169 594.3387 m
344.8996 594.3387 l
344.8996 594.8388 l
415.2169 594.8388 l
f*
476.5657 606.8387 m
476.5657 594.3387 l
476.0657 594.3387 l
476.0657 606.8387 l
f*
476.0657 594.3387 m
415.7169 594.3387 l
415.7169 594.8388 l
476.0657 594.8388 l
f*
531.7659 606.8387 m
531.7659 594.3387 l
531.2659 594.3387 l
531.2659 606.8387 l
f*
531.2659 594.3387 m
476.5657 594.3387 l
476.5657 594.8388 l
531.2659 594.8388 l
f*
575.9991 594.3387 m
531.7659 594.3387 l
531.7659 594.8388 l
575.9991 594.8388 l
f*
110.226 594.3387 m
110.226 581.8388 l
109.726 581.8388 l
109.726 594.3387 l
f*
109.726 581.8388 m
35.9997 581.8388 l
35.9997 582.3388 l
109.726 582.3388 l
f*
181.0434 594.3387 m
181.0434 581.8388 l
180.5434 581.8388 l
180.5434 594.3387 l
f*
180.5434 581.8388 m
110.226 581.8388 l
110.226 582.3388 l
180.5434 582.3388 l
f*
241.8922 594.3387 m
241.8922 581.8388 l
241.3922 581.8388 l
241.3922 594.3387 l
f*
241.3922 581.8388 m
181.0434 581.8388 l
181.0434 582.3388 l
241.3922 582.3388 l
f*
297.0924 594.3387 m
297.0924 581.8388 l
296.5924 581.8388 l
296.5924 594.3387 l
f*
296.5924 581.8388 m
241.8922 581.8388 l
241.8922 582.3388 l
296.5924 582.3388 l
f*
344.8996 594.3387 m
344.8996 581.8388 l
344.3995 581.8388 l
344.3995 594.3387 l
f*
344.3995 581.8388 m
297.0924 581.8388 l
297.0924 582.3388 l
344.3995 582.3388 l
f*
415.7169 594.3387 m
415.7169 581.8388 l
415.2169 581.8388 l
415.2169 594.3387 l
f*
415.2169 581.8388 m
344.8996 581.8388 l
344.8996 582.3388 l
415.2169 582.3388 l
f*
476.5657 594.3387 m
476.5657 581.8388 l
476.0657 581.8388 l
476.0657 594.3387 l
f*
476.0657 581.8388 m
415.7169 581.8388 l
415.7169 582.3388 l
476.0657 582.3388 l
f*
531.7659 594.3387 m
531.7659 581.8388 l
531.2659 581.8388 l
531.2659 594.3387 l
f*
531.2659 581.8388 m
476.5657 581.8388 l
476.5657 582.3388 l
531.2659 582.3388 l
f*
575.9991 581.8388 m
531.7659 581.8388 l
531.7659 582.3388 l
575.9991 582.3388 l
f*
110.226 581.8388 m
110.226 569.3389 l
109.726 569.3389 l
109.726 581.8388 l
f*
109.726 569.3389 m
35.9997 569.3389 l
35.9997 569.8389 l
109.726 569.8389 l
f*
181.0434 581.8388 m
181.0434 569.3389 l
180.5434 569.3389 l
180.5434 581.8388 l
f*
180.5434 569.3389 m
110.226 569.3389 l
110.226 569.8389 l
180.5434 569.8389 l
f*
241.8922 581.8388 m
241.8922 569.3389 l
241.3922 569.3389 l
241.3922 581.8388 l
f*
241.3922 569.3389 m
181.0434 569.3389 l
181.0434 569.8389 l
241.3922 569.8389 l
f*
297.0924 581.8388 m
297.0924 569.3389 l
296.5924 569.3389 l
296.5924 581.8388 l
f*
296.5924 569.3389 m
241.8922 569.3389 l
241.8922 569.8389 l
296.5924 569.8389 l
f*
344.8996 581.8388 m
344.8996 569.3389 l
344.3995 569.3389 l
344.3995 581.8388 l
f*
344.3995 569.3389 m
297.0924 569.3389 l
297.0924 569.8389 l
344.3995 569.8389 l
f*
415.7169 581.8388 m
415.7169 569.3389 l
415.2169 569.3389 l
415.2169 581.8388 l
f*
415.2169 569.3389 m
344.8996 569.3389 l
344.8996 569.8389 l
415.2169 569.8389 l
f*
476.5657 581.8388 m
476.5657 569.3389 l
476.0657 569.3389 l
476.0657 581.8388 l
f*
476.0657 569.3389 m
415.7169 569.3389 l
415.7169 569.8389 l
476.0657 569.8389 l
f*
531.7659 581.8388 m
531.7659 569.3389 l
531.2659 569.3389 l
531.2659 581.8388 l
f*
531.2659 569.3389 m
476.5657 569.3389 l
476.5657 569.8389 l
531.2659 569.8389 l
f*
575.9991 569.3389 m
531.7659 569.3389 l
531.7659 569.8389 l
575.9991 569.8389 l
f*
110.226 569.3389 m
110.226 556.8389 l
109.726 556.8389 l
109.726 569.3389 l
f*
109.726 556.8389 m
35.9997 556.8389 l
35.9997 557.339 l
109.726 557.339 l
f*
181.0434 569.3389 m
181.0434 556.8389 l
180.5434 556.8389 l
180.5434 569.3389 l
f*
180.5434 556.8389 m
110.226 556.8389 l
110.226 557.339 l
180.5434 557.339 l
f*
241.8922 569.3389 m
241.8922 556.8389 l
241.3922 556.8389 l
241.3922 569.3389 l
f*
241.3922 556.8389 m
181.0434 556.8389 l
181.0434 557.339 l
241.3922 557.339 l
f*
297.0924 569.3389 m
297.0924 556.8389 l
296.5924 556.8389 l
296.5924 569.3389 l
f*
296.5924 556.8389 m
241.8922 556.8389 l
241.8922 557.339 l
296.5924 557.339 l
f*
344.8996 569.3389 m
344.8996 556.8389 l
344.3995 556.8389 l
344.3995 569.3389 l
f*
344.3995 556.8389 m
297.0924 556.8389 l
297.0924 557.339 l
344.3995 557.339 l
f*
415.7169 569.3389 m
415.7169 556.8389 l
415.2169 556.8389 l
415.2169 569.3389 l
f*
415.2169 556.8389 m
344.8996 556.8389 l
344.8996 557.339 l
415.2169 557.339 l
f*
476.5657 569.3389 m
476.5657 556.8389 l
476.0657 556.8389 l
476.0657 569.3389 l
f*
476.0657 556.8389 m
415.7169 556.8389 l
415.7169 557.339 l
476.0657 557.339 l
f*
531.7659 569.3389 m
531.7659 556.8389 l
531.2659 556.8389 l
531.2659 569.3389 l
f*
531.2659 556.8389 m
476.5657 556.8389 l
476.5657 557.339 l
531.2659 557.339 l
f*
575.9991 556.8389 m
531.7659 556.8389 l
531.7659 557.339 l
575.9991 557.339 l
f*
110.226 556.8389 m
110.226 544.339 l
109.726 544.339 l
109.726 556.8389 l
f*
109.726 544.339 m
35.9997 544.339 l
35.9997 544.839 l
109.726 544.839 l
f*
181.0434 556.8389 m
181.0434 544.339 l
180.5434 544.339 l
180.5434 556.8389 l
f*
180.5434 544.339 m
110.226 544.339 l
110.226 544.839 l
180.5434 544.839 l
f*
241.8922 556.8389 m
241.8922 544.339 l
241.3922 544.339 l
241.3922 556.8389 l
f*
241.3922 544.339 m
181.0434 544.339 l
181.0434 544.839 l
241.3922 544.839 l
f*
297.0924 556.8389 m
297.0924 544.339 l
296.5924 544.339 l
296.5924 556.8389 l
f*
296.5924 544.339 m
241.8922 544.339 l
241.8922 544.839 l
296.5924 544.839 l
f*
344.8996 556.8389 m
344.8996 544.339 l
344.3995 544.339 l
344.3995 556.8389 l
f*
344.3995 544.339 m
297.0924 544.339 l
297.0924 544.839 l
344.3995 544.839 l
f*
415.7169 556.8389 m
415.7169 544.339 l
415.2169 544.339 l
415.2169 556.8389 l
f*
415.2169 544.339 m
344.8996 544.339 l
344.8996 544.839 l
415.2169 544.839 l
f*
476.5657 556.8389 m
476.5657 544.339 l
476.0657 544.339 l
476.0657 556.8389 l
f*
476.0657 544.339 m
415.7169 544.339 l
415.7169 544.839 l
476.0657 544.839 l
f*
531.7659 556.8389 m
531.7659 544.339 l
531.2659 544.339 l
531.2659 556.8389 l
f*
531.2659 544.339 m
476.5657 544.339 l
476.5657 544.839 l
531.2659 544.839 l
f*
575.9991 544.339 m
531.7659 544.339 l
531.7659 544.839 l
575.9991 544.839 l
f*
110.226 544.339 m
110.226 531.8391 l
109.726 531.8391 l
109.726 544.339 l
f*
109.726 531.8391 m
35.9997 531.8391 l
35.9997 532.3391 l
109.726 532.3391 l
f*
181.0434 544.339 m
181.0434 531.8391 l
180.5434 531.8391 l
180.5434 544.339 l
f*
180.5434 531.8391 m
110.226 531.8391 l
110.226 532.3391 l
180.5434 532.3391 l
f*
241.8922 544.339 m
241.8922 531.8391 l
241.3922 531.8391 l
241.3922 544.339 l
f*
241.3922 531.8391 m
181.0434 531.8391 l
181.0434 532.3391 l
241.3922 532.3391 l
f*
297.0924 544.339 m
297.0924 531.8391 l
296.5924 531.8391 l
296.5924 544.339 l
f*
296.5924 531.8391 m
241.8922 531.8391 l
241.8922 532.3391 l
296.5924 532.3391 l
f*
344.8996 544.339 m
344.8996 531.8391 l
344.3995 531.8391 l
344.3995 544.339 l
f*
344.3995 531.8391 m
297.0924 531.8391 l
297.0924 532.3391 l
344.3995 532.3391 l
f*
415.7169 544.339 m
415.7169 531.8391 l
415.2169 531.8391 l
415.2169 544.339 l
f*
415.2169 531.8391 m
344.8996 531.8391 l
344.8996 532.3391 l
415.2169 532.3391 l
f*
476.5657 544.339 m
476.5657 531.8391 l
476.0657 531.8391 l
476.0657 544.339 l
f*
476.0657 531.8391 m
415.7169 531.8391 l
415.7169 532.3391 l
476.0657 532.3391 l
f*
531.7659 544.339 m
531.7659 531.8391 l
531.2659 531.8391 l
531.2659 544.339 l
f*
531.2659 531.8391 m
476.5657 531.8391 l
476.5657 532.3391 l
531.2659 532.3391 l
f*
575.9991 531.8391 m
531.7659 531.8391 l
531.7659 532.3391 l
575.9991 532.3391 l
f*
575.9991 510.0888 m
35.9997 510.0888 l
35.9997 510.5889 l
575.9991 510.5889 l
f*
0.83 0.64 0.02 0 k
36 497.0268 m
186.7465 497.0268 l
h
f*
0 g
7.9999 0 0 7.9999 36 712.1763 cm
BT
/F12 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Table)Tj
2.5512 0 Td
(2.)Tj
0.9567 0 Td
(sMAPE)Tj
3.3519 0 Td
(and)Tj
1.7859 0 Td
(ranks)Tj
2.5228 0 Td
(of)Tj
1.056 0 Td
(errors)Tj
2.7496 0 Td
(on)Tj
1.2898 0 Td
(the)Tj
1.5307 0 Td
(complete)Tj
4.011 0 Td
(dataset)Tj
3.1749 0 Td
(of)Tj
1.063 0 Td
(the)Tj
1.5378 0 Td
(C-H-N)Tj
3.0685 0 Td
(study.)Tj
0 Tc
-27.8719 -1.8567 Td
(Method)Tj
18.0427 0 Td
(Average)Tj
3.6354 0 Td
(errors)Tj
23.542 0 Td
(Rank)Tj
2.4236 0 Td
(across)Tj
2.8134 0 Td
(all)Tj
1.2544 0 Td
(methods)Tj
-43.1295 -1.559 Td
(sMAPE\(%\))Tj
8.8583 0 Td
(MdRAE)Tj
7.604 0 Td
(MASE)Tj
7.0938 0 Td
(AR)Tj
5.7827 0 Td
(sMAPE\(%)Tj
4.2662 0 Td
(\))Tj
4.585 0 Td
(MdRAE)Tj
7.604 0 Td
(MASE)Tj
6.9025 0 Td
(AR)Tj
/F5 1 Tf
-64.0564 -1.5662 Td
(Theta)Tj
12.593 0 Td
(14.89)Tj
8.4544 0 Td
(0.88)Tj
7.2567 0 Td
(1.13)Tj
6.456 0 Td
(17.8)Tj
11.7922 0 Td
(2)Tj
7.604 0 Td
(3)Tj
6.9024 0 Td
(1)Tj
5.5914 0 Td
(2)Tj
/F12 1 Tf
-66.6501 -1.559 Td
(Illies)Tj
12.5504 0 Td
(15.18)Tj
8.4828 0 Td
(0.84)Tj
7.2496 0 Td
(1.25)Tj
6.4418 0 Td
(18.4)Tj
11.8064 0 Td
(3)Tj
7.604 0 Td
(2)Tj
6.3993 0 Td
(11)Tj
6.0945 0 Td
(4)Tj
/F5 1 Tf
-66.6288 -1.5662 Td
(ForecastPro)Tj
12.593 0 Td
(15.44)Tj
8.4544 0 Td
(0.89)Tj
7.2567 0 Td
(1.17)Tj
6.456 0 Td
(18.2)Tj
11.7922 0 Td
(4)Tj
7.604 0 Td
(4)Tj
6.9024 0 Td
(3)Tj
5.5914 0 Td
(3)Tj
-66.6501 -1.5591 Td
(DES)Tj
12.593 0 Td
(15.90)Tj
8.4544 0 Td
(0.94)Tj
7.2567 0 Td
(1.17)Tj
6.456 0 Td
(18.9)Tj
11.7922 0 Td
(5)Tj
7.1292 0 Td
(14)Tj
7.3772 0 Td
(3)Tj
5.5914 0 Td
(6)Tj
-66.6501 -1.5661 Td
(Comb)Tj
2.7354 0 Td
(S-H-D)Tj
9.8576 0 Td
(15.93)Tj
8.4544 0 Td
(0.09)Tj
7.2567 0 Td
(1.21)Tj
6.456 0 Td
(18.8)Tj
11.7922 0 Td
(6)Tj
7.604 0 Td
(5)Tj
6.9024 0 Td
(7)Tj
5.5914 0 Td
(5)Tj
-66.6501 -1.5591 Td
(Autobox)Tj
12.593 0 Td
(15.95)Tj
8.4544 0 Td
(0.93)Tj
7.2567 0 Td
(1.18)Tj
6.456 0 Td
(19.2)Tj
11.7922 0 Td
(7)Tj
7.1292 0 Td
(11)Tj
7.3772 0 Td
(5)Tj
5.5914 0 Td
(7)Tj
/F12 1 Tf
-66.6501 -1.5661 Td
(Flores)Tj
12.5504 0 Td
(16.31)Tj
8.4828 0 Td
(0.93)Tj
7.2496 0 Td
(1.20)Tj
6.4418 0 Td
(19.3)Tj
11.8064 0 Td
(8)Tj
7.108 0 Td
(11)Tj
7.3984 0 Td
(6)Tj
5.5914 0 Td
(8)Tj
/F5 1 Tf
-66.6288 -1.5591 Td
(SES)Tj
12.593 0 Td
(16.42)Tj
8.4544 0 Td
(0.96)Tj
7.2567 0 Td
(1.21)Tj
6.456 0 Td
(19.6)Tj
11.7922 0 Td
(9)Tj
7.1292 0 Td
(16)Tj
7.3772 0 Td
(7)Tj
5.1095 0 Td
(12)Tj
/F12 1 Tf
-66.1682 -1.5662 Td
(Chen)Tj
12.5504 0 Td
(16.55)Tj
8.4828 0 Td
(0.94)Tj
7.2496 0 Td
(1.34)Tj
6.4418 0 Td
(19.5)Tj
11.3033 0 Td
(11)Tj
7.6111 0 Td
(14)Tj
6.8953 0 Td
(18)Tj
6.0945 0 Td
(9)Tj
-66.6288 -1.559 Td
(D'yakonov)Tj
12.5504 0 Td
(16.57)Tj
8.4828 0 Td
(0.91)Tj
7.2496 0 Td
(1.26)Tj
6.4418 0 Td
(20.0)Tj
11.3033 0 Td
(12)Tj
8.1071 0 Td
(7)Tj
6.3993 0 Td
(12)Tj
5.5914 0 Td
(15)Tj
-66.1257 -1.5662 Td
(AANN)Tj
12.5504 0 Td
(16.81)Tj
8.4828 0 Td
(0.91)Tj
7.2496 0 Td
(1.21)Tj
6.4418 0 Td
(19.5)Tj
11.3033 0 Td
(13)Tj
8.1071 0 Td
(7)Tj
6.9024 0 Td
(7)Tj
5.5914 0 Td
(9)Tj
-66.6288 -1.5591 Td
(Kamel)Tj
12.5504 0 Td
(16.92)Tj
8.4828 0 Td
(0.90)Tj
7.2496 0 Td
(1.28)Tj
6.4418 0 Td
(19.6)Tj
11.3033 0 Td
(14)Tj
8.1071 0 Td
(5)Tj
6.3993 0 Td
(13)Tj
5.5914 0 Td
(12)Tj
/F5 1 Tf
-66.1257 -2.3456 Td
(NNs)Tj
2.0693 0 Td
(are)Tj
1.4669 0 Td
(defined)Tj
3.2457 0 Td
(with)Tj
2.0197 0 Td
(bold)Tj
2.0268 0 Td
(numbers.)Tj
0.83 0.64 0.02 0 k
/F8 1 Tf
-0.025 Tc
-10.8284 -2.2465 Td
(https://do)Tj
3.5575 0 Td
(i.org/10.1371/j)Tj
5.4425 0 Td
(ournal.pone)Tj
4.4079 0 Td
(.0194889.t002)Tj
ET
Q
q
1 j
1 J
0 w
576 737.1 m
36 737.1 l
36 737.6 l
576 737.6 l
f*
36 741.2598 107.1496 23.6976 re
W* n
q
107.0929 0 0 23.6409 36 741.3165 cm
q
/I0 Do
Q
Q
Q
q
0 0 612 792 re
W* n
1 j
1 J
0 w
7.9999 0 0 7.9999 442.6015 745.7952 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Statistical)Tj
4.422 0 Td
(and)Tj
1.8567 0 Td
(ML)Tj
1.5875 0 Td
(forecasting)Tj
5.0244 0 Td
(methods)Tj
ET
Q
q
1 j
1 J
0 w
36 48.0002 m
576 48.0002 l
576 47.5002 l
36 47.5002 l
f*
0.83 0.64 0.02 0 k
81.5811 34.9228 m
237.8835 34.9228 l
h
f*
0 g
7.9999 0 0 7.9999 36 36 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(PLOS)Tj
2.8559 0 Td
(ONE)Tj
2.3669 0 Td
(|)Tj
0.83 0.64 0.02 0 k
0.4748 0 Td
(https://doi.or)Tj
5.4142 0 Td
(g/10.137)Tj
3.8198 0 Td
(1/journal.po)Tj
5.1236 0 Td
(ne.01948)Tj
4.089 0 Td
(89)Tj
0 g
2.0906 0 Td
(March)Tj
2.9622 0 Td
(27,)Tj
1.5874 0 Td
(2018)Tj
34.3562 0 Td
(4)Tj
0.7654 0 Td
(/)Tj
ET
endstream
endobj
97 0 obj
<>stream
endstream
endobj
98 0 obj
<>stream
endstream
endobj
99 0 obj
<>stream
endstream
endobj
100 0 obj
<>stream
endstream
endobj
101 0 obj
<>stream
endstream
endobj
102 0 obj
<>stream
endstream
endobj
103 0 obj
<>stream
BT
66.402 0 Td
(26)Tj
ET
Q
endstream
endobj
104 0 obj
<>/XObject<>>>/CropBox[0 0 612 792]/MediaBox[0 0 612 792]/Parent 10 0 R/Annots 109 0 R/Contents 110 0 R/TrimBox[0 0 612 792]>>
endobj
109 0 obj
[111 0 R 112 0 R 113 0 R 114 0 R 115 0 R 116 0 R 117 0 R]
endobj
111 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.t003)>>
endobj
112 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref015)>>
endobj
113 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref017)>>
endobj
114 0 obj
<>/Border[0 0 0]/Dest(Rpone.0194889.ref031)>>
endobj
115 0 obj
<>/Border[0 0 0]/Dest(Lpone.0194889.t003)>>
endobj
116 0 obj
<>/Border[0 0 0]/A 118 0 R>>
endobj
118 0 obj
<>
endobj
117 0 obj
<>/Border[0 0 0]/A 119 0 R>>
endobj
119 0 obj
<>
endobj
110 0 obj
[120 0 R 121 0 R 122 0 R 123 0 R 124 0 R 125 0 R 126 0 R 127 0 R 128 0 R]
endobj
120 0 obj
<>stream
q
0.83 0.64 0.02 0 k
311.2441 544.0819 m
340.4409 544.0819 l
h
f*
203.4142 518.0598 m
212.9386 518.0598 l
h
f*
372.8693 414.085 m
382.3937 414.085 l
h
f*
437.7827 388.063 m
447.3071 388.063 l
h
f*
0 g
1 j
1 J
0 w
10 0 0 10 200.0125 545.159 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(can)Tj
1.6271 0 Td
(be)Tj
1.1509 0 Td
(seen)Tj
1.9729 0 Td
(in)Tj
0.83 0.64 0.02 0 k
1.0374 0 Td
(Table)Tj
2.4435 0 Td
(3)Tj
0 g
0.6916 0 Td
(\(for)Tj
1.7292 0 Td
(details)Tj
2.7779 0 Td
(of)Tj
1.0148 0 Td
(how)Tj
1.9389 0 Td
(the)Tj
1.4683 0 Td
(preprocessing)Tj
5.777 0 Td
(was)Tj
1.7008 0 Td
(done,)Tj
2.4491 0 Td
(how)Tj
1.9389 0 Td
(the)Tj
-35.053 -1.2982 Td
(forecasts)Tj
3.685 0 Td
(were)Tj
2.1259 0 Td
(produced)Tj
4.0422 0 Td
(and)Tj
1.7291 0 Td
(how)Tj
1.9389 0 Td
(the)Tj
1.474 0 Td
(accuracy)Tj
3.7077 0 Td
(measures)Tj
3.9458 0 Td
(were)Tj
2.1203 0 Td
(computed,)Tj
4.4901 0 Td
(see)Tj
1.4286 0 Td
(the)Tj
1.4684 0 Td
(paper)Tj
2.4831 0 Td
(by)Tj
-34.6391 -1.3039 Td
([)Tj
0.83 0.64 0.02 0 k
(15)Tj
0 g
(]\).)Tj
2.4151 0 Td
(As)Tj
1.2642 0 Td
(seen,)Tj
2.2053 0 Td
(the)Tj
1.4684 0 Td
(most)Tj
2.2053 0 Td
(accurate)Tj
3.5546 0 Td
(ML)Tj
1.6498 0 Td
(method)Tj
3.3278 0 Td
(is)Tj
0.8448 0 Td
(the)Tj
1.4683 0 Td
(MLP,)Tj
2.4378 0 Td
(the)Tj
1.4683 0 Td
(next)Tj
1.9559 0 Td
(one)Tj
1.7008 0 Td
(is)Tj
0.8447 0 Td
(the)Tj
1.474 0 Td
(BNN)Tj
2.2734 0 Td
(and)Tj
1.7291 0 Td
(the)Tj
-34.2876 -1.2983 Td
(third)Tj
2.211 0 Td
(the)Tj
1.4683 0 Td
(GP.)Tj
1.7235 0 Td
(The)Tj
1.7801 0 Td
(sMAPE)Tj
3.2882 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(remaining)Tj
4.3653 0 Td
(methods)Tj
3.685 0 Td
(is)Tj
0.8448 0 Td
(at)Tj
0.9524 0 Td
(a)Tj
0.6576 0 Td
(double)Tj
2.9594 0 Td
(digit)Tj
2.0409 0 Td
(indicating)Tj
4.269 0 Td
(a)Tj
0.6519 0 Td
(distinct)Tj
-33.3805 -1.2983 Td
(difference)Tj
4.2009 0 Td
(in)Tj
1.0374 0 Td
(their)Tj
2.109 0 Td
(accuracy.)Tj
3.9401 0 Td
(What)Tj
2.4435 0 Td
(would)Tj
2.7099 0 Td
(be)Tj
1.1509 0 Td
(of)Tj
1.0147 0 Td
(considerable)Tj
5.2611 0 Td
(research)Tj
3.5546 0 Td
(value)Tj
2.3074 0 Td
(is)Tj
0.8504 0 Td
(to)Tj
1.0262 0 Td
(investigate)Tj
4.4617 0 Td
(the)Tj
-36.0678 -1.2982 Td
(reasons)Tj
3.2258 0 Td
(for)Tj
1.3833 0 Td
(the)Tj
1.474 0 Td
(differences)Tj
4.5637 0 Td
(in)Tj
1.0375 0 Td
(accuracy)Tj
3.7077 0 Td
(among)Tj
2.999 0 Td
(the)Tj
1.4684 0 Td
(eight)Tj
2.1996 0 Td
(ML)Tj
1.6498 0 Td
(methods)Tj
3.685 0 Td
(and)Tj
1.7348 0 Td
(come)Tj
2.3924 0 Td
(up)Tj
1.2643 0 Td
(with)Tj
1.9955 0 Td
(guide-)Tj
-34.7808 -1.3039 Td
(lines)Tj
2.0636 0 Td
(of)Tj
1.0148 0 Td
(selecting)Tj
3.6793 0 Td
(the)Tj
1.4683 0 Td
(most)Tj
2.2054 0 Td
(appropriate)Tj
4.8812 0 Td
(one)Tj
1.6951 0 Td
(for)Tj
1.389 0 Td
(new)Tj
1.8765 0 Td
(types)Tj
2.2734 0 Td
(of)Tj
1.0148 0 Td
(forecasting)Tj
4.6091 0 Td
(applications.)Tj
-26.9743 -1.2983 Td
(The)Tj
1.7858 0 Td
(major)Tj
2.6078 0 Td
(contribution)Tj
5.2895 0 Td
(of)Tj
1.0147 0 Td
(this)Tj
1.6725 0 Td
(paper)Tj
2.4774 0 Td
(is)Tj
0.8504 0 Td
(to)Tj
1.0205 0 Td
(extend)Tj
2.9083 0 Td
(Ahmed)Tj
3.2032 0 Td
(and)Tj
1.7291 0 Td
(co-authors')Tj
4.7395 0 Td
(study)Tj
2.3867 0 Td
(in)Tj
1.0375 0 Td
(six)Tj
1.3096 0 Td
(direc-)Tj
-35.2287 -1.2983 Td
(tions:)Tj
2.4264 0 Td
(First,)Tj
2.2677 0 Td
(we)Tj
1.3323 0 Td
(included)Tj
3.7077 0 Td
(eight)Tj
2.2053 0 Td
(statistical)Tj
3.9061 0 Td
(methods)Tj
3.685 0 Td
(in)Tj
1.0375 0 Td
(order)Tj
2.4208 0 Td
(to)Tj
1.0261 0 Td
(compare)Tj
3.7134 0 Td
(the)Tj
1.474 0 Td
(accuracy)Tj
3.7077 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.474 0 Td
(ML)Tj
-35.3988 -1.3039 Td
(methods)Tj
3.685 0 Td
(with)Tj
1.9955 0 Td
(that)Tj
1.7802 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4683 0 Td
(statistical)Tj
3.9061 0 Td
(ones.)Tj
2.2904 0 Td
(Second,)Tj
3.3506 0 Td
(we)Tj
1.3266 0 Td
(included)Tj
3.7133 0 Td
(two)Tj
1.7065 0 Td
(additional)Tj
4.2803 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(that)Tj
-35.8523 -1.2983 Td
(have)Tj
2.0579 0 Td
(become)Tj
3.3222 0 Td
(popular)Tj
3.3448 0 Td
(during)Tj
2.9254 0 Td
(the)Tj
1.4683 0 Td
(last)Tj
1.5591 0 Td
(years)Tj
2.2677 0 Td
([)Tj
0.83 0.64 0.02 0 k
(17)Tj
0 g
(].)Tj
2.0749 0 Td
(These)Tj
2.5682 0 Td
(methods)Tj
3.685 0 Td
(are)Tj
1.4457 0 Td
(the)Tj
1.474 0 Td
(Recurrent)Tj
4.2292 0 Td
(Neural)Tj
2.9594 0 Td
(Net-)Tj
-35.3818 -1.2982 Td
(work)Tj
2.279 0 Td
(\(RNN\))Tj
2.9934 0 Td
(and)Tj
1.7291 0 Td
(the)Tj
1.4683 0 Td
(Long)Tj
2.2791 0 Td
(Short)Tj
2.4037 0 Td
(Term)Tj
2.4435 0 Td
(Memory)Tj
3.6907 0 Td
(network)Tj
3.5489 0 Td
(\(LSTM\).)Tj
3.6397 0 Td
(Third,)Tj
2.7552 0 Td
(we)Tj
1.3266 0 Td
(used)Tj
2.058 0 Td
(an)Tj
1.2019 0 Td
(addi-)Tj
-33.8171 -1.3039 Td
(tional)Tj
2.5171 0 Td
(accuracy)Tj
3.7134 0 Td
(measure)Tj
3.5829 0 Td
(introduced)Tj
4.6432 0 Td
(in)Tj
1.0318 0 Td
(recently,)Tj
3.6396 0 Td
(the)Tj
1.4684 0 Td
(MASE)Tj
2.8403 0 Td
([)Tj
0.83 0.64 0.02 0 k
(31)Tj
0 g
(],)Tj
2.0749 0 Td
(to)Tj
1.0261 0 Td
(ensure)Tj
2.88 0 Td
(that)Tj
1.7745 0 Td
(the)Tj
1.4683 0 Td
(same)Tj
-32.6605 -1.2983 Td
(conclusions)Tj
4.9379 0 Td
(apply)Tj
2.3924 0 Td
(for)Tj
1.3833 0 Td
(such)Tj
2.0636 0 Td
(an)Tj
1.2019 0 Td
(alternative.)Tj
4.6431 0 Td
(Fourth,)Tj
3.2031 0 Td
(we)Tj
1.3323 0 Td
(used)Tj
2.058 0 Td
(three)Tj
2.262 0 Td
(different)Tj
3.6567 0 Td
(approaches)Tj
4.7395 0 Td
(for)Tj
-33.8738 -1.2983 Td
(obtaining)Tj
4.0591 0 Td
(18-step-ahead)Tj
5.8224 0 Td
(forecasts,)Tj
3.9117 0 Td
(not)Tj
1.5761 0 Td
(just)Tj
1.6611 0 Td
(the)Tj
1.4683 0 Td
(one-step-ahead)Tj
6.3496 0 Td
(ones)Tj
2.0579 0 Td
(computed)Tj
4.2633 0 Td
(by)Tj
1.1849 0 Td
(Ahmed)Tj
3.2031 0 Td
(and)Tj
-35.5575 -1.2982 Td
(co-authors,)Tj
4.7508 0 Td
(to)Tj
1.0261 0 Td
(test)Tj
1.5988 0 Td
(the)Tj
1.474 0 Td
(forecasting)Tj
4.6034 0 Td
(performance)Tj
5.3518 0 Td
(of)Tj
1.0148 0 Td
(ML)Tj
1.6497 0 Td
(methods)Tj
3.685 0 Td
(for)Tj
1.3833 0 Td
(longer)Tj
2.7836 0 Td
(horizons.)Tj
3.9458 0 Td
(Fifth,)Tj
2.3585 0 Td
(we)Tj
-35.6256 -1.3039 Td
(recorded)Tj
3.7927 0 Td
(a)Tj
0.6576 0 Td
(measure)Tj
3.5773 0 Td
(of)Tj
1.0148 0 Td
(computational)Tj
6.0491 0 Td
(complexity)Tj
4.6431 0 Td
(to)Tj
1.0262 0 Td
(determine)Tj
4.3199 0 Td
(the)Tj
1.474 0 Td
(amount)Tj
3.3562 0 Td
(of)Tj
1.0148 0 Td
(computer)Tj
4.1046 0 Td
(time)Tj
-35.0303 -1.2983 Td
(required)Tj
3.6396 0 Td
(by)Tj
1.1792 0 Td
(each)Tj
2.0296 0 Td
(method)Tj
3.3222 0 Td
(to)Tj
1.0261 0 Td
(develop)Tj
3.3222 0 Td
(the)Tj
1.4684 0 Td
(model)Tj
2.7439 0 Td
(and)Tj
1.7291 0 Td
(obtain)Tj
2.7836 0 Td
(the)Tj
1.4683 0 Td
(forecasts.)Tj
3.9118 0 Td
(Finally,)Tj
3.1691 0 Td
(we)Tj
1.3323 0 Td
(estimated)Tj
-33.1254 -1.2983 Td
(a)Tj
0.6519 0 Td
(Model)Tj
2.8176 0 Td
(Fit)Tj
1.3153 0 Td
(measure)Tj
3.5773 0 Td
(to)Tj
1.0261 0 Td
(determine)Tj
4.3257 0 Td
(how)Tj
1.9389 0 Td
(well)Tj
1.8198 0 Td
(each)Tj
2.0296 0 Td
(method)Tj
3.3222 0 Td
(was)Tj
1.7007 0 Td
(fitted)Tj
2.3188 0 Td
(to)Tj
1.0261 0 Td
(the)Tj
/F10 1 Tf
1.4683 0 Td
[()]TJ
/F11 1 Tf
0.7484 0 Td
[()]TJ
/F5 1 Tf
0.7937 0 Td
(18)Tj
1.1679 0 Td
(historical)Tj
-32.0483 -1.3039 Td
(data)Tj
1.9105 0 Td
(that)Tj
1.7801 0 Td
(was)Tj
1.7008 0 Td
(used)Tj
2.058 0 Td
(for)Tj
1.3889 0 Td
(training)Tj
3.4186 0 Td
(and)Tj
1.7291 0 Td
(parameter)Tj
4.3143 0 Td
(estimation.)Tj
4.6715 0 Td
(The)Tj
1.7801 0 Td
(purpose)Tj
3.4469 0 Td
(of)Tj
1.0148 0 Td
(such)Tj
2.058 0 Td
(a)Tj
0.6519 0 Td
(measure)Tj
3.583 0 Td
(was)Tj
-35.5065 -1.2983 Td
(to)Tj
1.0204 0 Td
(determine)Tj
4.32 0 Td
(the)Tj
1.4683 0 Td
(relationship)Tj
4.989 0 Td
(between)Tj
3.5262 0 Td
(the)Tj
1.4684 0 Td
(accuracy)Tj
3.7077 0 Td
(of)Tj
1.0148 0 Td
(model)Tj
2.7439 0 Td
(fitting)Tj
2.6475 0 Td
(and)Tj
1.7292 0 Td
(that)Tj
1.7744 0 Td
(of)Tj
1.0148 0 Td
(the)Tj
1.4684 0 Td
(post)Tj
1.8992 0 Td
(sample)Tj
-34.7922 -1.2982 Td
(forecasting)Tj
4.6034 0 Td
(accuracy)Tj
3.7133 0 Td
(in)Tj
1.0375 0 Td
(order)Tj
2.4208 0 Td
(to)Tj
1.0261 0 Td
(figure)Tj
2.5625 0 Td
(out)Tj
1.5534 0 Td
(possible)Tj
3.4072 0 Td
(over-fitting)Tj
4.7622 0 Td
(that)Tj
1.7745 0 Td
(may)Tj
1.9332 0 Td
(decrease)Tj
3.6056 0 Td
(the)Tj
1.4684 0 Td
(accuracy)Tj
-33.8681 -1.3039 Td
(of)Tj
1.0147 0 Td
(the)Tj
1.4684 0 Td
(post-sample)Tj
5.057 0 Td
(predictions.)Tj
ET
Q
q
1 j
1 J
0 w
11.9999 0 0 11.9999 200.0125 211.8047 cm
BT
/F12 1 Tf
1 TL
-0.0033 Tc
0 0 Td
(3.1)Tj
1.4598 0 Td
(Accuracy)Tj
4.0725 0 Td
(measures)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 200.0125 194.7968 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(Two)Tj
2.0182 0 Td
(accuracy)Tj
3.7134 0 Td
(measures)Tj
3.9458 0 Td
(are)Tj
1.4456 0 Td
(used)Tj
2.058 0 Td
(in)Tj
1.0374 0 Td
(this)Tj
1.6725 0 Td
(paper:)Tj
2.7099 0 Td
(The)Tj
1.7858 0 Td
(symmetric)Tj
4.456 0 Td
(Mean)Tj
2.5172 0 Td
(Absolute)Tj
3.7757 0 Td
(Percentage)Tj
-31.1355 -1.2982 Td
(Error)Tj
2.4094 0 Td
(\(sMAPE\))Tj
3.9685 0 Td
(and)Tj
1.7291 0 Td
(the)Tj
1.4683 0 Td
(Mean)Tj
2.5172 0 Td
(Absolute)Tj
3.7757 0 Td
(Scaled)Tj
2.7496 0 Td
(Error)Tj
2.4094 0 Td
(\(MASE\).)Tj
3.7474 0 Td
(The)Tj
1.7858 0 Td
(first)Tj
1.8028 0 Td
(measure,)Tj
3.8098 0 Td
(which)Tj
2.6475 0 Td
(was)Tj
-34.8205 -1.2983 Td
(originally)Tj
4.0251 0 Td
(used)Tj
2.0636 0 Td
(in)Tj
1.0318 0 Td
(the)Tj
1.4684 0 Td
(M3)Tj
1.593 0 Td
(Competition)Tj
5.3348 0 Td
(for)Tj
1.389 0 Td
(evaluating)Tj
4.3143 0 Td
(the)Tj
1.474 0 Td
(participating)Tj
5.3291 0 Td
(methods,)Tj
3.9061 0 Td
(is)Tj
0.8504 0 Td
(defined)Tj
3.2258 0 Td
(as)Tj
-36.0054 -1.3039 Td
(follows:)Tj
/F10 1 Tf
0 Tc
10.9643 -2.7666 Td
[()]TJ
2.4038 0 Td
[()]TJ
/F13 1 Tf
0.8503 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
352.6866 130.7906 m
357.6756 130.7906 l
357.6756 130.3937 l
352.6866 130.3937 l
f*
10 0 0 10 352.6866 134.8724 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2)Tj
/F10 1 Tf
0.0113 -1.3606 Td
[()]TJ
/F15 1 Tf
0.652 1.6327 Td
(X)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 365.1023 139.5779 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
-0.5763 -3.6568 Td
[()]TJ
/F13 1 Tf
0.3496 0 Td
()Tj
/F14 1 Tf
(1)Tj
ET
Q
q
1 j
1 J
0 w
375.3638 130.7906 m
416.863 130.7906 l
416.863 130.3937 l
375.3638 130.3937 l
f*
10 0 0 10 378.0283 134.8724 cm
BT
/F13 1 Tf
1 TL
0 0 Td
(j)Tj
/F10 1 Tf
[( )]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 386.8157 132.3779 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 391.5779 134.8724 cm
BT
/F13 1 Tf
1 TL
0 0 Td
( )Tj
/F14 1 Tf
1.1111 0.2154 Td
(^)Tj
/F10 1 Tf
-0.119 -0.2154 Td
[( )]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 408.8692 132.3779 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 411.4204 134.8724 cm
BT
/F13 1 Tf
1 TL
0 0 Td
(j)Tj
-3.6056 -1.4683 Td
(j)Tj
/F10 1 Tf
[( )]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 384.0944 117.6944 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 386.7023 120.1889 cm
BT
/F13 1 Tf
1 TL
0 0 Td
(j)Tj
0.4875 0 Td
()Tj
0.9921 0 Td
(j)Tj
/F14 1 Tf
0.3912 0.2154 Td
(^)Tj
/F10 1 Tf
-0.1191 -0.2154 Td
[( )]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 411.5905 117.6944 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 414.1417 120.1889 cm
BT
/F13 1 Tf
1 TL
0 0 Td
(j)Tj
0.4932 0.7936 Td
()Tj
/F14 1 Tf
0.72 0 Td
(100%)Tj
/F16 1 Tf
(;)Tj
/F13 1 Tf
13.7196 0 Td
()Tj
/F5 1 Tf
(1)Tj
/F13 1 Tf
()Tj
/F5 1 Tf
-0.004 Tc
-36.3455 -3.2087 Td
(where)Tj
/F10 1 Tf
2.6475 0 Td
[()]TJ
/F5 1 Tf
0.686 0 Td
(is)Tj
0.8504 0 Td
(the)Tj
1.4683 0 Td
(forecasting)Tj
4.6091 0 Td
(horizon,)Tj
/F10 1 Tf
3.583 0 Td
[( )]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 344.4661 94.3937 cm
BT
/F10 1 Tf
1 TL
-0.0053 Tc
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 348.8881 96.0377 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(are)Tj
1.4513 0 Td
(the)Tj
1.4683 0 Td
(actual)Tj
2.5852 0 Td
(observations)Tj
5.2611 0 Td
(and)Tj
/F14 1 Tf
0 Tc
1.9332 0.2154 Td
(^)Tj
/F10 1 Tf
-0.2041 -0.2154 Td
[( )]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 479.9055 93.5433 cm
BT
/F10 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 485.1212 96.0377 cm
BT
/F5 1 Tf
1 TL
-0.004 Tc
0 0 Td
(the)Tj
1.474 0 Td
(forecasts)Tj
3.685 0 Td
(produced)Tj
-33.6696 -1.3039 Td
(by)Tj
1.1792 0 Td
(the)Tj
1.4683 0 Td
(model)Tj
2.7439 0 Td
(at)Tj
0.9525 0 Td
(point)Tj
/F10 1 Tf
2.3584 0 Td
[()]TJ
/F5 1 Tf
(.)Tj
0.7483 0 Td
(Since)Tj
2.3584 0 Td
(sMAPE)Tj
3.2825 0 Td
(penalizes)Tj
3.8551 0 Td
(large)Tj
2.16 0 Td
(positive)Tj
3.3165 0 Td
(errors)Tj
2.6249 0 Td
(more)Tj
2.3413 0 Td
(than)Tj
2.0296 0 Td
(negative)Tj
3.5319 0 Td
(ones)Tj
ET
Q
q
0.45 0.36 0.35 0.01 k
1 j
1 J
0 w
199.9998 703.8369 m
575.9997 703.8369 l
575.9997 703.3368 l
199.9998 703.3368 l
f*
314.1128 703.3368 m
314.1128 690.8369 l
313.6127 690.8369 l
313.6127 703.3368 l
f*
313.6127 690.8369 m
199.9998 690.8369 l
199.9998 691.3369 l
313.6127 691.3369 l
f*
439.9481 703.3368 m
439.9481 690.8369 l
439.448 690.8369 l
439.448 703.3368 l
f*
439.448 690.8369 m
314.1128 690.8369 l
314.1128 691.3369 l
439.448 691.3369 l
f*
575.9994 690.8369 m
439.9481 690.8369 l
439.9481 691.3369 l
575.9994 691.3369 l
f*
314.1128 690.8369 m
314.1128 678.3369 l
313.6127 678.3369 l
313.6127 690.8369 l
f*
313.6127 678.3369 m
199.9998 678.3369 l
199.9998 678.837 l
313.6127 678.837 l
f*
439.9481 690.8369 m
439.9481 678.3369 l
439.448 678.3369 l
439.448 690.8369 l
f*
439.448 678.3369 m
314.1128 678.3369 l
314.1128 678.837 l
439.448 678.837 l
f*
575.9994 678.3369 m
439.9481 678.3369 l
439.9481 678.837 l
575.9994 678.837 l
f*
314.1128 678.3369 m
314.1128 665.837 l
313.6127 665.837 l
313.6127 678.3369 l
f*
313.6127 665.837 m
199.9998 665.837 l
199.9998 666.337 l
313.6127 666.337 l
f*
439.9481 678.3369 m
439.9481 665.837 l
439.448 665.837 l
439.448 678.3369 l
f*
439.448 665.837 m
314.1128 665.837 l
314.1128 666.337 l
439.448 666.337 l
f*
575.9994 665.837 m
439.9481 665.837 l
439.9481 666.337 l
575.9994 666.337 l
f*
314.1128 665.837 m
314.1128 653.3371 l
313.6127 653.3371 l
313.6127 665.837 l
f*
313.6127 653.3371 m
199.9998 653.3371 l
199.9998 653.8371 l
313.6127 653.8371 l
f*
439.9481 665.837 m
439.9481 653.3371 l
439.448 653.3371 l
439.448 665.837 l
f*
439.448 653.3371 m
314.1128 653.3371 l
314.1128 653.8371 l
439.448 653.8371 l
f*
575.9994 653.3371 m
439.9481 653.3371 l
439.9481 653.8371 l
575.9994 653.8371 l
f*
314.1128 653.3371 m
314.1128 640.8371 l
313.6127 640.8371 l
313.6127 653.3371 l
f*
313.6127 640.8371 m
199.9998 640.8371 l
199.9998 641.3372 l
313.6127 641.3372 l
f*
439.9481 653.3371 m
439.9481 640.8371 l
439.448 640.8371 l
439.448 653.3371 l
f*
439.448 640.8371 m
314.1128 640.8371 l
314.1128 641.3372 l
439.448 641.3372 l
f*
575.9994 640.8371 m
439.9481 640.8371 l
439.9481 641.3372 l
575.9994 641.3372 l
f*
314.1128 640.8371 m
314.1128 628.3372 l
313.6127 628.3372 l
313.6127 640.8371 l
f*
313.6127 628.3372 m
199.9998 628.3372 l
199.9998 628.8372 l
313.6127 628.8372 l
f*
439.9481 640.8371 m
439.9481 628.3372 l
439.448 628.3372 l
439.448 640.8371 l
f*
439.448 628.3372 m
314.1128 628.3372 l
314.1128 628.8372 l
439.448 628.8372 l
f*
575.9994 628.3372 m
439.9481 628.3372 l
439.9481 628.8372 l
575.9994 628.8372 l
f*
314.1128 628.3372 m
314.1128 615.8373 l
313.6127 615.8373 l
313.6127 628.3372 l
f*
313.6127 615.8373 m
199.9998 615.8373 l
199.9998 616.3373 l
313.6127 616.3373 l
f*
439.9481 628.3372 m
439.9481 615.8373 l
439.448 615.8373 l
439.448 628.3372 l
f*
439.448 615.8373 m
314.1128 615.8373 l
314.1128 616.3373 l
439.448 616.3373 l
f*
575.9994 615.8373 m
439.9481 615.8373 l
439.9481 616.3373 l
575.9994 616.3373 l
f*
314.1128 615.8373 m
314.1128 603.3373 l
313.6127 603.3373 l
313.6127 615.8373 l
f*
313.6127 603.3373 m
199.9998 603.3373 l
199.9998 603.8374 l
313.6127 603.8374 l
f*
439.9481 615.8373 m
439.9481 603.3373 l
439.448 603.3373 l
439.448 615.8373 l
f*
439.448 603.3373 m
314.1128 603.3373 l
314.1128 603.8374 l
439.448 603.8374 l
f*
575.9994 603.3373 m
439.9481 603.3373 l
439.9481 603.8374 l
575.9994 603.8374 l
f*
314.1128 603.3373 m
314.1128 590.8374 l
313.6127 590.8374 l
313.6127 603.3373 l
f*
313.6127 590.8374 m
199.9998 590.8374 l
199.9998 591.3374 l
313.6127 591.3374 l
f*
439.9481 603.3373 m
439.9481 590.8374 l
439.448 590.8374 l
439.448 603.3373 l
f*
439.448 590.8374 m
314.1128 590.8374 l
314.1128 591.3374 l
439.448 591.3374 l
f*
575.9994 590.8374 m
439.9481 590.8374 l
439.9481 591.3374 l
575.9994 591.3374 l
f*
0.83 0.64 0.02 0 k
200.0126 577.7575 m
350.7591 577.7575 l
h
f*
0 g
7.9999 0 0 7.9999 200.0125 708.6614 cm
BT
/F12 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Table)Tj
2.5512 0 Td
(3.)Tj
0.9567 0 Td
(Forecastin)Tj
4.3299 0 Td
(g)Tj
0.7087 0 Td
(performa)Tj
3.9118 0 Td
(nce)Tj
1.6299 0 Td
(\(sMAPE\))Tj
4.0465 0 Td
(of)Tj
1.063 0 Td
(the)Tj
1.5308 0 Td
(ML)Tj
1.6441 0 Td
(methods)Tj
3.8126 0 Td
(tested)Tj
2.6788 0 Td
(in)Tj
1.063 0 Td
(the)Tj
1.5307 0 Td
(study)Tj
2.4945 0 Td
(of)Tj
1.0559 0 Td
(Ahmed)Tj
3.2811 0 Td
(et.al.)Tj
0 Tc
-32.4711 -1.8496 Td
(Rank)Tj
8.6954 0 Td
(Method)Tj
21.671 0 Td
(sMAPE\(%)Tj
4.2662 0 Td
(\))Tj
/F5 1 Tf
-33.7751 -1.5661 Td
(1)Tj
7.9654 0 Td
(MLP)Tj
23.2655 0 Td
(8.34)Tj
-31.2309 -1.5591 Td
(2)Tj
7.9654 0 Td
(BNN)Tj
23.2655 0 Td
(8.58)Tj
-31.2309 -1.5661 Td
(3)Tj
7.9654 0 Td
(GP)Tj
23.2655 0 Td
(9.62)Tj
-31.2309 -1.5591 Td
(4)Tj
7.9654 0 Td
(GRNN)Tj
22.7837 0 Td
(10.33)Tj
-30.7491 -1.5662 Td
(5)Tj
7.9654 0 Td
(KNN)Tj
22.7837 0 Td
(10.34)Tj
-30.7491 -1.559 Td
(6)Tj
7.9654 0 Td
(SVR)Tj
22.7837 0 Td
(10.40)Tj
-30.7491 -1.5662 Td
(7)Tj
7.9654 0 Td
(CART)Tj
22.7837 0 Td
(11.72)Tj
-30.7491 -1.5591 Td
(8)Tj
7.9654 0 Td
(RBF)Tj
22.7837 0 Td
(15.79)Tj
0.83 0.64 0.02 0 k
/F8 1 Tf
-0.025 Tc
-37.4247 -1.8779 Td
(https://d)Tj
3.0827 0 Td
(oi.org/10.1371/j)Tj
5.9173 0 Td
(ournal.pon)Tj
3.9827 0 Td
(e.0194889.t00)Tj
5.3859 0 Td
(3)Tj
ET
Q
q
1 j
1 J
0 w
576 737.1 m
36 737.1 l
36 737.6 l
576 737.6 l
f*
36 741.2598 107.1496 23.6976 re
W* n
q
107.0929 0 0 23.6409 36 741.3165 cm
q
/I0 Do
Q
Q
Q
q
0 0 612 792 re
W* n
1 j
1 J
0 w
7.9999 0 0 7.9999 442.6015 745.7952 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(Statistical)Tj
4.422 0 Td
(and)Tj
1.8567 0 Td
(ML)Tj
1.5875 0 Td
(forecasting)Tj
5.0244 0 Td
(methods)Tj
ET
Q
q
1 j
1 J
0 w
36 48.0002 m
576 48.0002 l
576 47.5002 l
36 47.5002 l
f*
0.83 0.64 0.02 0 k
81.5811 34.9228 m
237.8835 34.9228 l
h
f*
0 g
7.9999 0 0 7.9999 36 36 cm
BT
/F0 1 Tf
1 TL
-0.005 Tc
0 0 Td
(PLOS)Tj
2.8559 0 Td
(ONE)Tj
2.3669 0 Td
(|)Tj
0.83 0.64 0.02 0 k
0.4748 0 Td
(https://doi.or)Tj
5.4142 0 Td
(g/10.137)Tj
3.8198 0 Td
(1/journal.po)Tj
5.1236 0 Td
(ne.01948)Tj
4.089 0 Td
(89)Tj
0 g
2.0906 0 Td
(March)Tj
2.9622 0 Td
(27,)Tj
1.5874 0 Td
(2018)Tj
34.3562 0 Td
(5)Tj
0.7654 0 Td
(/)Tj
ET
endstream
endobj
121 0 obj
<>stream
endstream
endobj
122 0 obj
<>stream
endstream
endobj
123 0 obj
<>stream
endstream
endobj
124 0 obj
<>stream
endstream
endobj
125 0 obj
<>stream
endstream
endobj
126 0 obj
<>stream
endstream
endobj
127 0 obj
<>stream
endstream
endobj
128 0 obj
<>stream
BT
66.402 0 Td
(26)Tj
ET
Q
endstream
endobj
129 0 obj
<>/XObject<>>>/CropBox[0 0 612 792]/MediaBox[0 0 612 792]/Parent 10 0 R/Annots 131 0 R/Contents 132 0 R/TrimBox[0 0 612 792]>>
endobj
130 0 obj
<>
endobj
133 0 obj
<>
endobj
134 0 obj
<>stream
%!PS-AdobeFont-1.0
11 dict begin
/FontName /PI_chars_3 def
/FontType 1 def
/FontBBox {-11 -345 1373 718} readonly def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/PaintType 0 def
/FontInfo 8 dict dup begin
/FullName (PI_chars_3) readonly def
/BaseFontName (PI_chars_3) def
end def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 33 /exclam put
dup 34 /quotedbl put
dup 35 /numbersign put
dup 36 /dollar put
dup 37 /percent put
dup 38 /ampersand put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 58 /colon put
dup 60 /less put
dup 61 /equal put
dup 62 /greater put
dup 63 /question put
dup 64 /at put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /backslash put
dup 93 /bracketright put
dup 94 /asciicircum put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /braceleft put
dup 124 /bar put
dup 125 /braceright put
dup 126 /asciitilde put
readonly def
currentdict end
currentfile eexec
M#1H5 J6o\&rtS(#v\0\V7Fe༙OYx5-cY9^%Y6
(efIOldN"wȰ;)UƽoFg/rvV$JS8_oc@
o9-eGJp}[Do]mN=4*{ܯq=eU^t6¤/{zM4aܪ
Q:д'B-r^ܦ6y?rRnu S\U{Oλrs(Βƚ
#d29%s'ƈT1F8&\0Xd&&Zug'VPd]:>u=Q,?#(CV4'..|ӱ5 h
sȀg)fɘ`UXK^>] q\l#5pE"JO}rquáQBr/E7
QW5\GSlu{7ZH(PSf/O;̟w{ɴ}-K hA8!b!U>`#u?Vlnǝ19V+mg'QmA}S Y$í8n uJ ڒx3>[x0Z]
ͩw4M&1+pkC,sr"%q&OjbH{:5$65*S`cr;%s4Oӆe>T+6~pBOD!$c]"~r#nh6$38i˞[~Z}}rHmte9(1½=j{<\ ;? RA?c{Rf1'VԞ_-Lwo]`.l|zjf"![G1BYro˓9[-+z g!}RN+pX!M~HcFh@g%J6B)6!Lq>TX\ݪGF
PiQݓX~Fs;Ölo4/(C?+,ɖxۼ:xU^)
fd,`*>-:}=q$:\Xzcw1Nf(
ZkEeJXfэi@zXc\{a5qKg\5ݩv\Qe%1>OY̗$Y#P[)."^+{"bP]Bt&zeN6
іijDE% 0;̅
~~lfB>u'i4znym%tfԟ^נBTDS6-ghiWk/(r!!˶fc>趕%U