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Bootstrap Confidence Intervals of the Process Capability Index Based on the EDF Expected Loss  

임태진 (숭실대학교 산업·정보시스템공학과)
송현석 (숭실대학교 산업·정보시스템공학과)
Publication Information
Journal of Korean Society for Quality Management / v.31, no.4, 2003 , pp. 164-175 More about this Journal
Abstract
This paper investigates bootstrap confidence intervals of the process capability index(PCI) based on the expected loss derived from the empirical distribution function(EDF). The PCI based on the expected loss is too complex to derive its confidence interval analytically, so the bootstrap method is a good alternative. We propose three types of the bootstrap confidence interval; the standard bootstrap(SB), the percentile bootstrap(PB), and the acceleration biased­corrected percentile bootstrap(ABC). We also perform a comprehensive simulation study under various process distributions, in order to compare the accuracy of the coverage probability of the bootstrap confidence intervals. In most cases, the coverage probabilities of the bootstrap confidence intervals from the EDF PCI turned out to be more accurate than those from the PCI based on the normal distribution. It is expected that the bootstrap confidence intervals from the EDF PCI can be utilized in real processes where the true distribution family may not be known.
Keywords
Bootstrap; EDF; PCI; confidence interval; reflected normal loss function;
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Times Cited By KSCI : 1  (Citation Analysis)
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