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Control charts for monitoring correlated counts with a finite range

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  • Athanasios C. Rakitzis
  • Christian H. Weiß
  • Philippe Castagliola

Abstract

Correlated count data processes with a finite range can be adequately described by a first‐order binomial autoregressive model. However, in several practical applications, these data demonstrate extra‐binomial variation, and a more appropriate choice is the first‐order beta‐binomial autoregressive model. In this paper, we propose and study control charts that can be used for the monitoring of these 2 processes. Practical guidelines concerning their statistical design are provided, whereas the effect of the extra‐binomial variation is investigated as well. Finally, the practical application of the proposed schemes is illustrated via a real‐data example.

Suggested Citation

  • Athanasios C. Rakitzis & Christian H. Weiß & Philippe Castagliola, 2017. "Control charts for monitoring correlated counts with a finite range," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 33(6), pages 733-749, November.
    • Handle: RePEc:wly:apsmbi:v:33:y:2017:i:6:p:733-749
    DOI: 10.1002/asmb.2275
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