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

Author

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  • Vasileios Alevizakos
  • Kashinath Chatterjee
  • Christos Koukouvinos

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.

Suggested Citation

  • Vasileios Alevizakos & Kashinath Chatterjee & Christos Koukouvinos, 2025. "A double generally weighted moving average control chart for monitoring zero-inflated Poisson processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(6), pages 1773-1804, March.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:6:p:1773-1804
    DOI: 10.1080/03610926.2024.2349706
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