Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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On Statistical Estimation of Multivariate (Vector-valued) Process Capability Indices with Bootstraps)

  • Cho, Joong-Jae (Professor, Department of Statistics, Chungbuk National University, Cheongju, 361-763) ;
  • Park, Byoung-Sun (Department of Computer Science, Chungbuk National University, Cheongju, 361-736) ;
  • Lim, Soo-Duck (Department of Computer Science, Chunbuk National University, Cheongiu 361-736. Korea)
  • Published : 2001.12.01
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Abstract

In this paper we study two vector-valued process capability indices $C_{p}$=($C_{px}$, $C_{py}$ ) and C/aub pm/=( $C_{pmx}$, $C_{pmy}$) considering process capability indices $C_{p}$ and $C_{pm}$ . First, two asymptotic distributions of plug-in estimators $C_{p}$=($C_{px}$, $C_{py}$ ) and $C_{pm}$ =) $C_{pmx}$, $C_{pmy}$) are derived.. With the asymptotic distributions, we propose asymptotic confidence regions for our indices. Next, obtaining the asymptotic distributions of two bootstrap estimators $C_{p}$=($C_{px}$, $C_{py}$ )and $C_{pm}$ =( $C_{pmx}$, $C_{pmy}$) with our bootstrap algorithm, we will provide the consistency of our bootstrap for statistical inference. Also, with the consistency of our bootstrap, we propose bootstrap asymptotic confidence regions for our indices. (no abstract, see full-text)see full-text)e full-text)

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References

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