On the bootstrap confidence intervals of the process incapability index Cpp

Chao-Yu Chou, Yu-Chang Lin, Chun-Lang Chang and Chung-Ho Chen

Reliability Engineering and System Safety, 2006, vol. 91, issue 4, 452-459

Abstract: The process incapability index Cpp is an indicator, introduced by Greenwich and Jahr-Schaffrath, for evaluating the capability of a process. When Cpp is applied to evaluate a process, estimating the confidence interval of Cpp is important for statistical inference on the process. Calculating the confidence interval for a process index usually needs the assumption about the underlying distribution. Bootstrapping is a non-parametric, but computer intensive, estimation method. In the present paper we report the results of a simulation study on the behavior of four 95% bootstrap confidence intervals (i.e. standard bootstrap, percentile bootstrap, biased-corrected percentile bootstrap, and biased-corrected and accelerated bootstrap) for estimating Cpp when data are from a specific Burr distribution, which is used to represent various probability distributions. A detailed discussion of the simulation results is presented and some conclusions are provided.

Keywords: Bootstrap confidence interval; Process incapability index; Simulation; The Burr distribution (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:91:y:2006:i:4:p:452-459

DOI: 10.1016/j.ress.2005.03.004

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