The Behavior ofand Extreme— Value Control Charts in the Case of Mixture Alternatives
作者:
Raid W. Amin,
Hans W. Wolff,
期刊:
Sequential Analysis
(Taylor Available online 1994)
卷期:
Volume 13,
issue 1
页码: 35-51
ISSN:0747-4946
年代: 1994
DOI:10.1080/07474949408836292
出版商: Marcel Dekker, Inc.
关键词: Control charts;mixture alternatives;robustness;average run length
数据来源: Taylor
摘要:
This paper evaluates the average run length properties of some control procedures for monitoring the mean and the variance of a process. In particular, a comparison is made between theand Extreme—Value charts when the underlying distribution of the control chart statistic is not normal but is a mixture of normal distributions. It is shown that the Extreme—Value chart is the most efficient of the three charts when it is desired to detect the presence of mixture alternatives. Furthermore, the power of the Extreme—Value chart is close to the power of the likelihood ratio test corresponding to the underlying test problem
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