Nonparametric procedures for monitoring a location parameter based on linear placement statistics
作者:
Changsoon Park,
Changsoon Park,
Marion R. Reynolds,
Marion R. Reynolds,
期刊:
Sequential Analysis
(Taylor Available online 1987)
卷期:
Volume 6,
issue 4
页码: 303-323
ISSN:0747-4946
年代: 1987
DOI:10.1080/07474948708836134
出版商: Marcel Dekker, Inc.
关键词: Shewhart chart;cumulative sum control chart;average run length;linear placement statistic;standard sample
数据来源: Taylor
摘要:
Nonparametric procedures are developed for the problem of monitoring the location parameter of a continuous process wnen the control value for the parameter is not specified. These procedures are based on linear placement statistics for comparing current samples with a standard sample taken wnen the process was operating properly. The linear placement statistics are used in versions of the Shewhart and cusum charts. Asymptotic approximations to the run length distribution are obtained and a new result for the Brownian motion process is derived for the case where there is an upper bound on the time that the process is observed.
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