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A note on the average run length of cumulative sum control charts for count data

 

作者: John S. Gardiner,   David J. Friedman,   Douglas C. Montgomery,  

 

期刊: Quality and Reliability Engineering International  （WILEY Available online 1987）
卷期: Volume 3, issue 1  

页码: 53-55

 

ISSN:0748-8017

 

年代: 1987

 

DOI:10.1002/qre.4680030109

 

出版商: Wiley Subscription Services, Inc., A Wiley Company

 

关键词: Average run lengths CUSUM;Poisson distribution;Neyman;Type A distribution

 

数据来源: WILEY

 

摘要:

AbstractThis note presents preliminary results on the average run length (ARL) of a Cumulative Sum Control Chart (CUSUM) used to monitor defects or counts, when the count distribution is Neyman Type‐A. The ARL for this distribution is contrasted to the more customary Poisson model for counts or defects. We show that the ARL curve of a Neyman Type‐A CUSUM always lies below the ARL curve of a Poisson CU

 

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