A class of distribution-free control charts

S. Chakraborti, P. Laan, van der, M.A. Wiel, van de

Research output: Contribution to journalArticleAcademicpeer-review

76 Citations (Scopus)

Abstract

A class of Shewhart-type distribution-free control charts is considered. A key advantage of these charts is that the in-control run length distribution is the same for all continuous process distributions. Exact expressions for the run length distribution and the average run length (ARL) are derived and properties of the charts are studied via evaluations of the run length distribution probabilities and the ARL. Tables are provided for implementation for some typical ARL values and false alarm rates. The charts proposed are preferable from a robustness point of view, have attractive ARL properties and would be particularly useful in situations where one uses a classical Shewhart X-chart. A numerical illustration is given.
Original languageEnglish
Pages (from-to)443-462
JournalJournal of the Royal Statistical Society. Series C: Applied Statistics
Volume53
Issue number3
DOIs
Publication statusPublished - 2004

Fingerprint Dive into the research topics of 'A class of distribution-free control charts'. Together they form a unique fingerprint.

Cite this