Improved bootstrap confidence intervals for the process capability index C-pk

  • Park, Chanseok
  • Dey, Sanku
  • Ouyang, Linhan
  • Byun, Jai-Hyun
  • Leeds, Mark
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초록

The process capability index, C-pk, is a useful tool for assessing the capability of a manufacturing process. There exist three well-known confidence intervals for the process capability index. These intervals are based on the standard bootstrap, the percentile bootstrap and the bias-corrected percentile bootstrap, respectively. We propose three variants of these bootstrap confidence intervals where each of the three intervals are modified in a particular way. Extensive Monte Carlo simulations are carried out and the results indicate that the three proposed bootstrap methods are generally preferred over the corresponding original schemes.

키워드

BootstrapConfidence intervalProcess capability indexStatistical powerVARIANCE
제목
Improved bootstrap confidence intervals for the process capability index C-pk
저자
Park, ChanseokDey, SankuOuyang, LinhanByun, Jai-HyunLeeds, Mark
DOI
10.1080/03610918.2018.1520877
발행일
2020-10-02
유형
Article
저널명
Communications in Statistics Part B: Simulation and Computation
49
10
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2583 ~ 2603