Signal probabilities of runs rules supplementing a Shewheart control chart

Charles W. Champ; William H. Woodall

Signal probabilities of runs rules supplementing a Shewheart control chart

Charles W. Champ, William H. Woodall

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	1347-1360
Number of pages	14
Journal	Communications in Statistics Part B: Simulation and Computation
Volume	26
Issue number	4
State	Published - 1997

Keywords

Average run length
Markov chain

Cite this

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T1 - Signal probabilities of runs rules supplementing a Shewheart control chart

AU - Champ, Charles W.

AU - Woodall, William H.

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AB - 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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KW - Markov chain

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M3 - Article

AN - SCOPUS:0031273030

SN - 0361-0918

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JO - Communications in Statistics Part B: Simulation and Computation

JF - Communications in Statistics Part B: Simulation and Computation

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ER -

Signal probabilities of runs rules supplementing a Shewheart control chart

Abstract

Keywords

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