A double generally weighted moving average control chart for monitoring zero-inflated Poisson processes

Vasileios Alevizakos, Kashinath Chatterjee and Christos Koukouvinos

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 6, 1773-1804

Abstract: The zero-inflated Poisson (ZIP) distribution is used to model count data with an excessive number of zeros. In this article, we present a double generally weighted moving average control chart for monitoring ZIP processes (regarded as ZIP-DGWMA chart). The run-length distribution of the proposed chart is evaluated by performing Monte Carlo simulations. A comparison study with the ZIP-GWMA chart indicates that the ZIP-DGWMA chart is more effective for shifts in the zero-inflated parameter p and for small shifts in both of the zero-inflated and Poisson parameters. The proposed chart is also applied on an example to demonstrate its application.

Date: 2025
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DOI: 10.1080/03610926.2024.2349706

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