Control charts for monitoring correlated counts with a finite range | Zendy

Rakitzis Athanasios C. | Zendy; Weiß Christian H. | Zendy; Castagliola Philippe | Zendy

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Control charts for monitoring correlated counts with a finite range

Author(s) -

Rakitzis Athanasios C.,

Weiß Christian H.,

Castagliola Philippe

Publication year - 2017

Publication title -

applied stochastic models in business and industry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.413

H-Index - 40

eISSN - 1526-4025

pISSN - 1524-1904

DOI - 10.1002/asmb.2275

Subject(s) - autoregressive model , binomial (polynomial) , range (aeronautics) , negative binomial distribution , count data , binomial distribution , computer science , statistics , control chart , beta binomial distribution , continuity correction , mathematics , econometrics , engineering , process (computing) , poisson distribution , aerospace engineering , operating system

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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