Process Monitoring for Correlated Gamma-Distributed Data Using Generalized-Linear-Model-Based Control Charts

Duangporn Jearkpaporn, Douglas Montgomery, George Runger, Connie M. Borror

Research output: Contribution to journalReview articlepeer-review

51 Scopus citations

Abstract

A model-based scheme is proposed for monitoring multiple gamma-distributed variables. The procedure is based on the deviance residual, which is a likelihood ratio statistic for detecting a mean shift when the shape parameter is assumed to be unchanged and the input and output variables are related in a certain manner. We discuss the distribution of this statistic and the proposed monitoring scheme. An example involving the advance rate of a drill is used to illustrate the implementation of the deviance residual monitoring scheme. Finally, a simulation study is performed to compare the average run length (ARL) performance of the proposed method to the standard Shewhart control chart for individuals.

Original languageEnglish (US)
Pages (from-to)477-491
Number of pages15
JournalQuality and Reliability Engineering International
Volume19
Issue number6
DOIs
StatePublished - Nov 1 2003

Keywords

  • Correlated gamma-distributed data
  • Generalized linear model
  • Model-based control chart

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research

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