Table 1.
Review of literature about the distributions introduced based on the Lindley distribution.
Fig 1.
pdf of LG distribution for different values of θ and p.
Table 2.
Average control limits along with their respective standard deviations for α = 0.0027.
Table 3.
Average control limits along with their respective standard deviations for α = 0.002.
Table 4.
Average control limits along with their respective standard deviations for α = 0.01.
Table 5.
ARLs along with their respective standard deviations for α = 0.0027.
Table 6.
ARLs along with their respective standard deviations for α = 0.002.
Table 7.
ARLs along with their respective standard deviations for α = 0.01.
Table 8.
Average control limits along with respective standard deviations for α = 0.0027 with upper percentiles.
Table 9.
ARLs along with their respective standard deviations for α = 0.0027 with upper percentiles.
Fig 2.
ARL for different values of p based on the LGD with (θ = 0.5, p = 0.05).
Fig 3.
ARL for different values of θ based on the LGD with (θ = 0.5, p = 0.05).
Fig 4.
ARL for different values of u.
Fig 5.
Bootstrap percentile control chart with u = 0.5 for randomly generated subgroups of size 5 from the PLD.
Fig 6.
Bootstrap percentile control chart with u = 0.1 for randomly generated subgroups of size 5 from the PLD.
Fig 7.
The Shewhart control chart for randomly generated subgroups of size 5 from the PLD.
Fig 8.
Histogram (top left), Q-Q plot (top right), CDF plot (bottom left), and P-P plot (bottom right) of survival time dataset along with the LG distribution fitted to it.
Table 10.
Observed subgroups of the survival times dataset, along with the (u = 0.05) for each subgroup.
Fig 9.
Bootstrap percentile control chart with u = 0.05 for subgroups of size 5 of the survival times data set.
Table 11.
Observed subgroups of the phase II dataset, along with the (u = 0.05) for each subgroup.
Fig 10.
Bootstrap percentile control chart with u = 0.05 for phases I and II data sets.
Fig 11.
The Shewhart control chart for phases I and II data sets.