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A note on the average run length of cumulative sum control charts for count data
Author(s) -
Gardiner John S.,
Friedman David J.,
Montgomery Douglas C.
Publication year - 1987
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.4680030109
Subject(s) - cusum , poisson distribution , control chart , statistics , count data , mathematics , x bar chart , chart , control limits , computer science , process (computing) , operating system
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.