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Fig 1.

Plots of pdf and hrf for the MKWD.

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Table 1.

Some numerical values of moments for the MKWD where ζ = 0.8.

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Table 2.

Some numerical values of moments for the MKWD where ζ = 0.6.

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Table 2 Expand

Table 3.

Some numerical values of the entropy measures of the MKWD.

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Table 3 Expand

Table 4.

Some numerical values of the entropy measures of the MKWD (β = 0.2).

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Table 4 Expand

Fig 2.

Estimated values of the MSE for MLE, CME, MPSE and LSE schemes in Table 5.

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Fig 3.

Estimated values of the MSE for WLSE, MSALDE, PE and MSSLE schemes in Table 5.

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Table 5.

Results for the eight estimation methods considering ϑ = 0.5, β = 0.5 and ζ = 0.5.

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Table 6.

Results for the eight estimation methods considering ϑ = 0.5, β = 0.5 and ζ = 0.9.

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Table 7.

Results for the eight estimation methods considering ϑ = 0.5, β = 0.9 and ζ = 0.5.

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Table 8.

Results for the eight estimation methods considering ϑ = 0.9, β = 0.5 and ζ = 0.5.

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Table 9.

Results for the eight estimation methods considering ϑ = 1.5, β = 0.5 and ζ = 0.5.

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Table 10.

Results for the eight estimation methods considering ϑ = 1.5, β = 1.5 and ζ = 0.5.

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Table 11.

Sum of ranks for the results of Tables 510.

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Fig 4.

Box plots for both data sets.

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Fig 5.

TTT plots for both data sets.

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Fig 6.

Estimated pdf plots of data set 1.

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Fig 7.

Estimated cdf plots of data set 1.

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Fig 8.

Estimated PP plots of data set 1.

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Fig 9.

Estimated pdf plots of data set 2.

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Fig 10.

Estimated cdf plots of data set 2.

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Fig 11.

Estimated PP plots of data set 2.

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Table 12.

MLEs and SEs for data set 1.

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Table 12 Expand

Table 13.

Goodness-of-fit criteria for data set 1.

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Table 14.

MLEs and SEs for data set 2.

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Table 15.

Goodness-of-fit criteria for data set 2.

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Table 16.

MKW QRM simulation results for scenario I.

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Table 17.

MKW QRM simulation results for scenario II.

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Table 18.

MKW QRM simulation results for scenario III.

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Table 19.

Parameter estimates for various quantiles and information criteria.

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Fig 12.

PP plots of RQR for the MKW QRM.

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Fig 12 Expand