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A Simple Theoretical Approach to Cumulative Sum Control Charts

 

作者: N.L. Johnson,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1961)
卷期: Volume 56, issue 296  

页码: 835-840

 

ISSN:0162-1459

 

年代: 1961

 

DOI:10.1080/01621459.1961.10482129

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

By considering the use of a cumulative sum control chart, in the way described by Page [3] and Barnard [2], as the application of two sequential probability ratio tests to the observed series taken in reversed order, some approximate formulae for properties of this procedure are obtained. These are simple formulae relating the probabilities of detection of a given change in average value to the position and slope of the critical limits. It is suggested that these results may sometimes be useful as a guide to the limits to be used.

 

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