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One-sided EWMA control charts for monitoring Poisson processes with varying sample sizes

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  • Qin Zhou
  • Lianjie Shu
  • Wei Jiang

Abstract

Recently considerable research has been devoted to monitoring increases of incidence rate of adverse rare events. This paper extends some one-sided upper exponentially weighted moving average (EWMA) control charts from monitoring normal means to monitoring Poisson rate when sample sizes are varying over time. The approximated average run length bounds are derived for these EWMA-type charts and compared with the EWMA chart previously studied. Extensive simulations have been conducted to compare the performance of these EWMA-type charts. An illustrative example is given.

Suggested Citation

  • Qin Zhou & Lianjie Shu & Wei Jiang, 2016. "One-sided EWMA control charts for monitoring Poisson processes with varying sample sizes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(20), pages 6112-6132, October.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:20:p:6112-6132
    DOI: 10.1080/03610926.2014.957853
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