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On Bayesian EWMA control charts under different loss functions

  • Salma Riaz
  • , Muhammad Riaz
  • , Amna Nazeer
  • , Zawar Hussain*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The motivation for this study is to analyze Bayesian exponentially weighted moving average (EWMA) control chart under 3 loss functions namely, SELF, LLF, and PLF. Informative priors (normal and mixture of normal) and non-informative priors (Uniform and Jefferys) are considered for the analysis. The performance of Bayesian EWMA control chart using posterior and posterior predictive distribution scheme has been evaluated using average run length (ARL) and standard deviation run length (SDRL) as performance measures. Monte Carlo simulations are used to compute the performance measures for different values of smoothing constant. An illustrative example is also presented for practical considerations of Bayesian EWMA control chart.

Original languageEnglish
Pages (from-to)2653-2665
Number of pages13
JournalQuality and Reliability Engineering International
Volume33
Issue number8
DOIs
StatePublished - Dec 2017

Bibliographical note

Publisher Copyright:
Copyright © 2017 John Wiley & Sons, Ltd.

Keywords

  • Bayesian approach
  • average run length
  • exponentially weighted moving average
  • posterior distribution
  • prior distribution

ASJC Scopus subject areas

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

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