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

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)53-55
Number of pages3
JournalQuality and Reliability Engineering International
Volume3
Issue number1
DOIs
StatePublished - 1987
Externally publishedYes

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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