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A more interpretable regression model for count data with excess of zeros

Published: September 29, 2025 | arXiv ID: 2509.24916v1

By: Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto and more

Potential Business Impact:

Makes counting sick kids easier to understand.

Business Areas:
A/B Testing Data and Analytics

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much lower than the most used count regression models. In this work, we introduce a more interpretable regression model for count data with excess of zeros based on a reparameterization of the zero-inflated Poisson distribution. We discuss inferential and diagnostic tools and perform a Monte Carlo simulation study to evaluate the performance of the maximum likelihood estimator. Finally, the usefulness of the proposed regression model is illustrated through an application on children mortality.

Country of Origin
🇧🇷 Brazil

Page Count
19 pages

Category
Statistics:
Methodology