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On the Modelling and Monitoring of General Inflated Poisson Processes
Author(s) -
Rakitzis Athanasios C.,
Castagliola Philippe,
Maravelakis Petros E.
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.1917
Subject(s) - poisson distribution , zero inflated model , count data , computer science , statistics , poisson regression , zero (linguistics) , probability distribution , mathematics , population , linguistics , philosophy , demography , sociology
In this work, we propose and study general inflated probability distributions that can be used for modelling and monitoring unusual count data. The considered models extend the well‐known zero‐inflated Poisson distribution because they allow the excess of values, other than zero. Four simple upper‐sided control schemes are considered for the monitoring of count data based on the proposed general inflated Poisson distributions, and their performance is evaluated under various out‐of‐control situations. The usefulness of the considered models and techniques is illustrated via two real‐data examples, while practical guidelines are provided as well. Copyright © 2015 John Wiley & Sons, Ltd.