Maximum-Likelihood Estimation for the Zero-Inflated Polynomial-Adjusted Poisson Distribution

We propose the zero-inflated Polynomially Adjusted Poisson (zPAP) model. It extends the usual zero-inflated Poisson by multiplying the Poisson kernel with a nonnegative polynomial, enabling the model to handle extra zeros, overdispersion, skewness, and even multimodal counts. We derive the maximum-l...

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Bibliographic Details
Main Authors: Jong-Seung Lee, Hyung-Tae Ha
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/15/2383
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