Study of average run lengths for supplementary runs rules in the presence of autocorrelation
作者:
Layth C. Alwan,
Charles W. Champ,
Hazem D. Maragah,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1994)
卷期:
Volume 23,
issue 2
页码: 373-391
ISSN:0361-0918
年代: 1994
DOI:10.1080/03610919408813176
出版商: Marcel Dekker, Inc.
关键词: Markov chain;moving range;statistical process control;X-chart
数据来源: Taylor
摘要:
The basic assumption underlying statistical control chart criteria is that the process measurements are independent and identically distributed over time. However, autocorrelation and other time-series effects occur frequently in application. In this paper, the effects of autocorrelation are investigated for the frequently advocated supplementary runs rules. For both individual control charts based on the moving range and sample standard deviation, using simulation, the impact of autocorrelation for the AR(1) on in-control average run lengths is given.
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