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

John S. Gardiner; David J. Friedman; Douglas C. Montgomery

doi:10.1002/qre.4680030109

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

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This 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 CUSUM.

Original language	English (US)
Pages (from-to)	53-55
Number of pages	3
Journal	Quality and Reliability Engineering International
Volume	3
Issue number	1
DOIs	https://doi.org/10.1002/qre.4680030109
State	Published - 1987
Externally published	Yes

Keywords

Average run lengths CUSUM
Neyman
Poisson distribution
Type A distribution

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Management Science and Operations Research

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10.1002/qre.4680030109

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KW - Type A distribution

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

Abstract

Keywords

ASJC Scopus subject areas

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