A statistically adaptive sampling policy to the Hotelling's T2 control chart: Markov chain approach

Alireza Faraz

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We present an alternative sampling scheme for the Hotelling's T2 control chart with variable parameters (VP T2) which allows the sampling interval h, the sample size n, and control limit k to vary between minimum and maximum values while keeping the warning line fixed over time. Our method uses only one measurement scale to overcome the difficulties of using two scales in practice. Later, we demonstrate the merits of the method in terms of its performance in detecting small-to-moderate shifts and its ease of application.

Original languageEnglish
Pages (from-to)3919-3929
Number of pages11
JournalCOMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume45
Issue number13
DOIs
Publication statusPublished - 2 Jul 2016

Keywords

  • Adjusted average time to signal (AATS)
  • Genetic algorithm (GA)
  • Hotelling's T control chart
  • Multivariate control chart
  • Variable parameters (VP)

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