An asymptotic distribution of Wright's process capability index sensitive to skewness

被引：6

作者：

Chen, HF ^{[1
]}

Kotz, S ^{[1
]}

机构：

[1] UNIV MARYLAND,COLL BUSINESS & MANAGEMENT,DEPT MANAGEMENT SCI & STAT,COLLEGE PK,MD 20742

来源：

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 1996年 / 55卷 / 1-2期

关键词：

asymptotic distribution; consistency; linearization; skewness; Wright's process capability index;

D O I：

10.1080/00949659608811756

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In a recent paper (J. Statist. Comput. Simul., 1995, Vol.53, pp. 195-203) P. A. Wright proposed a new process capability index C-s which generalizes the Pearn-Kotz-Johnson's index C-pmk by taking into account the skewness (in addition to deviation of the mean from the target already incorporated in C-pmk). The purpose of this article is to study the consistency and asymptotics of an estimate C-s of C-s. The asymptotic distribution provides an insight into some desirable properties of the estimate which are not apparent from its original definition.

引用

页码：147 / 158

页数：12

共 8 条

[1]

BICKEL PJ, 1977, MATH STATISTICS

[2]

CHEN H, 1993, IN PRESS STATISTICS

[3] THE ASYMPTOTIC-DISTRIBUTION OF THE PROCESS CAPABILITY INDEX C-PMK [J].

CHEN, SM ;

HSU, NF .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1995, 24 (05) :1279-1291

[4]

Kotz S., 1993, PROCESS CAPABILITY I

[5] DISTRIBUTIONAL AND INFERENTIAL PROPERTIES OF PROCESS CAPABILITY INDEXES [J].

PEARN, WL ;

KOTZ, S ;

JOHNSON, NL .

JOURNAL OF QUALITY TECHNOLOGY, 1992, 24 (04) :216-231

[6]

Serfling R.J., 1980, APPROXIMATION THEORE

[7]

VANNMAN K, 1995, STAT SINICA, V5, P805

[8] A PROCESS CAPABILITY INDEX SENSITIVE TO SKEWNESS [J].

WRIGHT, PA .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1995, 52 (03) :195-203

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