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Control chart for monitoring multivariate COM-Poisson attributes

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  • Aamir Saghir
  • Zhengyan Lin

Abstract

Statistical process control of multi-attribute count data has received much attention with modern data-acquisition equipment and online computers. The multivariate Poisson distribution is often used to monitor multivariate attributes count data. However, little work has been done so far on under- or over-dispersed multivariate count data, which is common in many industrial processes, with positive or negative correlation. In this study, a Shewhart-type multivariate control chart is constructed to monitor such kind of data, namely the multivariate COM-Poisson (MCP) chart, based on the MCP distribution. The performance of the MCP chart is evaluated by the average run length in simulation. The proposed chart generalizes some existing multivariate attribute charts as its special cases. A real-life bivariate process and a simulated trivariate Poisson process are used to illustrate the application of the MCP chart.

Suggested Citation

  • Aamir Saghir & Zhengyan Lin, 2014. "Control chart for monitoring multivariate COM-Poisson attributes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(1), pages 200-214, January.
    • Handle: RePEc:taf:japsta:v:41:y:2014:i:1:p:200-214
    DOI: 10.1080/02664763.2013.838666
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    References listed on IDEAS

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    1. Jing-Er Chiu & Tsen-I Kuo, 2010. "Control charts for fraction nonconforming in a bivariate binomial process," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(10), pages 1717-1728.
    2. Galit Shmueli & Thomas P. Minka & Joseph B. Kadane & Sharad Borle & Peter Boatwright, 2005. "A useful distribution for fitting discrete data: revival of the Conway–Maxwell–Poisson distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(1), pages 127-142, January.
    3. Bersimis, Sotiris & Psarakis, Stelios & Panaretos, John, 2006. "Multivariate Statistical Process Control Charts: An Overview," MPRA Paper 6399, University Library of Munich, Germany.
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    Cited by:

    1. Kokonendji, Célestin C. & Puig, Pedro, 2018. "Fisher dispersion index for multivariate count distributions: A review and a new proposal," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 180-193.
    2. Muhammad Aslam & Ali Hussein Al-Marshadi, 2019. "Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment," Complexity, Hindawi, vol. 2019, pages 1-9, July.

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