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- W3204267168 abstract "In this paper, we consider the q-quantiles of the conditional run length (CRL) distribution to design and evaluate the phase II exponential chart instead of the widely used metric, the average of CRL. The unconditional and conditional perspectives of the performance evaluation are considered to adjust the control limits of the phase II exponential chart based on the in-control (IC) q-quantiles of CRL (denoted by CQRLq) distribution. Under the unconditional approach, the mean of the IC CQRLq is set equal to some pre-specified value, say QRL0 of the q-quantile of run length (QRL) whereas under the conditional perspective, the control limits are adjusted so that that the IC CQRLq meets or exceeds the nominal QRL0 value with a high probability. The charts under both perspectives are designed so that they are QRL-unbiased for a nominal QRL0 value. The IC and out-of-control (OOC) performance studies of the proposed charts are carried out based on the most promising quantile i.e. median run length (MRL). The study shows that the MRL-unbiased exponential chart under the conditional perspective has a better IC performance." @default.
- W3204267168 created "2021-10-11" @default.
- W3204267168 creator A5005990969 @default.
- W3204267168 date "2021-09-28" @default.
- W3204267168 modified "2023-09-30" @default.
- W3204267168 title "Statistical design of phase II exponential chart with estimated parameters under the unconditional and conditional perspectives using exact distribution of median run length" @default.
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- W3204267168 doi "https://doi.org/10.1080/16843703.2021.1972515" @default.
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