Control charts for monitoring correlated counts with a finite range |
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| Authors: | Athanasios C. Rakitzis Christian H. Weiß Philippe Castagliola |
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| Affiliation: | 1. University of Aegen, Department of Mathematics, Karlovasi 83200, Samos, Greece;2. Helmut Schmidt University, Hamburg, Germany;3. LUNAM Université, Université de Nantes & IRCCyN UMR CNRS 6597, Nantes, France |
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| 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. |
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| Keywords: | average run length beta‐binomial AR(1) model binomial AR(1) model overdispersion statistical process control |
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