A note on interval estimation of the standard deviation of a gamma population with applications to statistical quality control

被引：11

作者：

Frost, Jaron ^{[1
]}

Keller, Kara ^{[1
]}

Lowe, Jonathan ^{[1
]}

Skeete, Toya ^{[1
]}

Walton, Shonte ^{[1
]}

Castille, Jessie ^{[1
]}

Pal, Nabendu ^{[1
]}

机构：

[1] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 04期

基金：

美国国家科学基金会;

关键词：

Sample variance; Standard deviation; Interval estimation; Confidence level; Gamma distribution; Upper control limit;

D O I：

10.1016/j.apm.2012.05.027

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Traditional process control charts for a measurement standard deviation are based on the assumption of normality, which may not always be valid. Assuming that measurements follow a gamma distribution, we have obtained an approximate distribution of the sample variance, scaled appropriately. This approximate distribution, which happens to be another gamma model, is used to derive an interval estimate of the population standard deviation. Further, the above approximate gamma model for the sample variance can be used to develop a process control chart as demonstrated by a simulated data set. (C) 2012 Elsevier Inc. All rights reserved.

引用

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页码：2580 / 2587

页数：8

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