A Bayesian way of monitoring the linear profiles using CUSUM control charts

  • Tahir Abbas*
  • , Shabbir Ahmad
  • , Muhammad Riaz
  • , Zhengming Qian
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

In statistical process control applications, profiles functions are considered an efficient way of representing quality of products or processes. Classical and Bayesian thoughts are two chief sources of defining control charting structures for profiles monitoring. This Study introduces novel Bayesian CUSUM control structures for profiles monitoring. The comprehensive comparative study identifies that the proposed Bayesian CUSUM control charts under conjugate priors has better expected performance than competing methods. The implementation of Bayesian structures requires detailed information about process parameters which come up with considerable benefits. In addition, simulative example and case study further justified the superiority of proposed techniques.

Original languageEnglish
Pages (from-to)126-149
Number of pages24
JournalCommunications in Statistics Part B: Simulation and Computation
Volume48
Issue number1
DOIs
StatePublished - 2 Jan 2019

Bibliographical note

Publisher Copyright:
© 2017, © 2017 Taylor & Francis Group, LLC.

Keywords

  • 60E05
  • 60K99
  • 62E10
  • 62E15
  • 62P30
  • 62Q05
  • 97K50
  • 97K80
  • Average run length (ARL)
  • Extra quadratic loss (EQL)
  • Linear profiles
  • Phase I and II
  • Posterior distribution

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation

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