CUSUM Control Charts for the Monitoring of Zero‐inflated Binomial Processes |
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| Authors: | Athanasios C Rakitzis Petros E Maravelakis Philippe Castagliola |
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| Affiliation: | 1. LUNAM Université, Université de Nantes & IRCCyN UMR CNRS 6597, Nantes, France;2. Department of Business Administration, University of Piraeus, Piraeus, Greece |
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| Abstract: | Zero‐inflated probability models are used to model count data that have an excessive number of zeros. These models are mostly useful in modeling high‐yield or health‐related processes. The zero‐inflated binomial distribution is an extension of the ordinary binomial distribution that takes into account the excess of zeros. In this paper, one‐sided cumulative sum (CUSUM)‐type control charts are proposed for monitoring increases or decreases in the parameter p of a zero‐inflated binomial process. The results of an extensive numerical study concerning the statistical design of the proposed schemes as well as their practical implementation are provided. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | average run length (ARL) health‐related processes high‐yield processes Markov chain standard deviation of run length (SDRL) |
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