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A control chart for multivariate Poisson distribution using repetitive sampling

Author

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  • Muhammad Aslam
  • G. Srinivasa Rao
  • Liaquat Ahmad
  • Chi-Hyuck Jun

Abstract

Control charts using repetitive group sampling have attracted a great deal of attention during the last few years. In the present article, we attempt to develop a control chart for the multivariate Poisson distribution using the repetitive group sampling scheme. In the proposed control chart, the monitoring statistic from the multivariate Poisson distribution has been used for the quick detection of the deteriorated process to avoid losses. The control coefficients have been estimated using the specified in-control average run lengths. The procedure of the proposed control chart has been explained by using the real-world example and a simulated data set. It has been observed that the proposed control chart is an efficient development for the quick detection of the nonrandom change in the manufacturing process.

Suggested Citation

  • Muhammad Aslam & G. Srinivasa Rao & Liaquat Ahmad & Chi-Hyuck Jun, 2017. "A control chart for multivariate Poisson distribution using repetitive sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(1), pages 123-136, January.
    • Handle: RePEc:taf:japsta:v:44:y:2017:i:1:p:123-136
    DOI: 10.1080/02664763.2016.1164837
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    References listed on IDEAS

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    1. S. Balamurali & Chi-hyuck Jun, 2006. "Repetitive group sampling procedure for variables inspection," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 327-338.
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    Cited by:

    1. Nasrullah Khan & Talat Yasmin & Muhammad Aslam & Chi-Hyuck Jun, 2018. "On the performance of modified EWMA charts using resampling schemes," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(3), pages 29-43.

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