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Control charts for monitoring correlated counts with a finite range

Athanasios C. Rakitzis, Christian H. Weiß and Philippe Castagliola

Applied Stochastic Models in Business and Industry, 2017, vol. 33, issue 6, 733-749

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.

Date: 2017
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https://doi.org/10.1002/asmb.2275

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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:33:y:2017:i:6:p:733-749

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