On assessing the performance of sequential procedures for detecting a change

Ron S. Kenett*, Moshe Pollak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The literature on statistical process control has focused mostly on the average run length (ARL) to an alarm, as a performance criterion of sequential schemes. When the process is in control, this is the ARL to false alarm, generally denoted by ARL0, and represents the in-control operating characteristic of the procedure. The ARL from the occurrence of a change to its detection represents an out-of-control operating characteristic and is typically embodied by ARL1, the ARL to detection assuming that the change occurs at the very start of surveillance. However, these indices do not tell the whole story, and at times they are not defined well by a single number. We review the role of various operating characteristics in assessing performance of sequential procedures in comparison with ARL0 and ARL1.

Original languageEnglish
Pages (from-to)500-507
Number of pages8
JournalQuality and Reliability Engineering International
Volume28
Issue number5
DOIs
StatePublished - Jul 2012

Keywords

  • average run length (ARL)
  • conditional expected delay (CED)
  • probability of false alarm (PFA)
  • sequential procedures

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