A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

James C. Fu; Galit Shmueli; Y.M. Chang

doi:10.1016/j.spl.2003.10.004

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A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

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A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

James C. Fu, Galit Shmueli and Y.M. Chang

Statistics and Probability Letters, Vol.65(4), pp.457-466

15/12/2003

DOI: https://doi.org/10.1016/j.spl.2003.10.004

Abstract

Control charts

Discretization

Markov chain

Transition matrix

We introduce a general theoretical framework, based on the Markov chain imbedding approach, that leads to the run-length distribution for a multitude of control charts that are based on a simple rule or on a compound set of rules. © 2003 Elsevier B.V. All rights reserved.

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Title: A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules
Creators - without role: James C. Fu - University of Manitoba
Galit Shmueli - University of Maryland, College Park
Y.M. Chang - National University of Kaohsiung
Publication Details: Statistics and Probability Letters, Vol.65(4), pp.457-466
Identifiers: 9957774159306774
Academic Unit: Institute of Service Science, College of Technology Management, National Tsing Hua University
Language: English
Resource Type: Journal article

A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

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