Comparison of robust estimators of standard deviation in normal distributions within the context of quality control

被引：2

作者：

Chow, Alan ^{[1
]}

Chow, Bryant ^{[2
]}

Hanumanth, Sriharsha ^{[3
]}

Wagner, Teresa ^{[4
]}

机构：

[1] Univ S Alabama, Mitchell Coll Business, Dept Management, Mobile, AL 36688 USA

[2] Univ SW Louisiana, Dept Math & Stat, Lafayette, LA 70504 USA

[3] Vis Chain Inc, Washington, DC USA

[4] Univ S Alabama, Dept Profess Studies, Mobile, AL 36688 USA

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2007年 / 36卷 / 04期

关键词：

closeness; estimation; quality control; range; standard deviation;

D O I：

10.1080/03610910701418218

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Pitman criterion is used in simulation to determine the "closer" estimator of the standard deviation among selected choices. The initial simulation utilizes a standard normal distribution from which samples are taken of specific sizes. Popular and commonly used estimators of standard deviation are compared with the known population standard deviation in this study. Closeness criterion is calculated for each comparison and sample size. A secondary simulation applies the findings to variables control charts, in order to verify the ability of each estimator to identify out-of-control conditions.

引用

页码：891 / 899

页数：9

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