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An optimal construction of yield-based EWMA repetitive multivariate sampling plan

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  • Robab Afshari
  • Adel Ahmadi Nadi

Abstract

In this paper, a variable repetitive group sampling (VRGS) plan is proposed based on the exponentially weighted moving average (EWMA) statistic with yield index SpkT for inspection of mutually independent and multivariate normally distributed characteristics. Plan parameters are found optimally based on asymptotic distribution of SpkT using a non linear optimization. A simulation study indicates that the reported parameters can thoroughly warrant determined risks for finite sample sizes. This work also extends application of the proposed plan to the class of correlated characteristics. The obtained findings show that the proposed plan significantly reduces required average sample number compared to the existing modified VRGS plan, single, double, and multiple dependent state sampling plans with yield-based EWMA statistic. Two industrial examples are presented to illustrate the application of the proposed plan in real world.

Suggested Citation

  • Robab Afshari & Adel Ahmadi Nadi, 2023. "An optimal construction of yield-based EWMA repetitive multivariate sampling plan," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(22), pages 7819-7839, November.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:22:p:7819-7839
    DOI: 10.1080/03610926.2022.2050401
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