Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart

Document Type

Article

Publication Date

1-1997

Publication Title

Communication in Statistics: Simulation and Computation

ISSN

1532-4141

Abstract

Supplementary runs rules have often been suggested for use with Shewhart control charts. For a given set of runs rules supplementing a control chart, a method is given for calculating the probability any subset of these rules will cause the out-of-control signal. A Markov chain approach is used to represent the chart. Some closed form expressions are given.

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