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Auxiliary information based maximum EWMA and DEWMA charts with variable sampling intervals for process mean and variance

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  • Abdul Haq
  • Shareen Akhtar

Abstract

The maximum EWMA (ME) and maximum double EWMA (MDE) charts are used to detect joints shifts in mean and variance of a normal process. In this paper, we propose the ME and MDE charts using the variable sampling interval (VSI) feature. In addition, the VSI feature is also attached with auxiliary information based (AIB) ME and MDE charts. Using Monte Carlo simulations, the run length characteristics of these control charts are computed. Based on detailed run length comparisons, it is found that the ME and MDE (AIB-ME and AIB-MDE) charts with VSI are more sensitive than those with fixed sampling interval. A real dataset is considered to demonstrate the implementation of proposed charts.

Suggested Citation

  • Abdul Haq & Shareen Akhtar, 2022. "Auxiliary information based maximum EWMA and DEWMA charts with variable sampling intervals for process mean and variance," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(12), pages 3985-4005, May.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:12:p:3985-4005
    DOI: 10.1080/03610926.2020.1805766
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