Monitoring the Weibull Shape Parameter by Control Charts for the Sample Range

被引：37
|
作者：
Pascual, Francis [1 ]
Zhang, Huifang [2 ]
机构：
[1] Washington State Univ, Dept Stat, Pullman, WA 99164 USA
[2] Washington State Dept Social & Hlth Serv, Lacey, WA 98503 USA
来源：
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2011年 / 27卷 / 01期
关键词：
average run length; statistical process control; unbiased control charts;
D O I：
10.1002/qre.1099
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we propose control charts for monitoring changes in the Weibull shape parameter beta. These charts are based on the range of a random sample from the smallest extreme value distribution. The control chart limits depend only on the sample size, the desired stable average run length (ARL), and the stable value of beta. We derive control limits for both one- and two-sided control charts. They are unbiased with respect to the ARL. We discuss sample size requirements if the stable value of beta is estimated from past data. The proposed method is applied to data on the breaking strengths of carbon fibers. We recommend one-sided charts for detecting specific changes in beta because they are expected to signal out-of-control sooner than the two-sided charts. Copyright (C) 2010 John Wiley & Sons, Ltd.
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页码：15 / 25
页数：11
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