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CUSUM Control Charts for the Monitoring of Zero‐inflated Binomial Processes
Author(s) -
Rakitzis Athanasios C.,
Maravelakis Petros E.,
Castagliola Philippe
Publication year - 2016
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1764
Subject(s) - cusum , binomial distribution , negative binomial distribution , statistics , mathematics , binomial (polynomial) , count data , zero (linguistics) , control chart , continuity correction , statistical process control , beta binomial distribution , econometrics , computer science , process (computing) , poisson distribution , philosophy , linguistics , operating system
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.