A right-truncated Poisson mixture model for analyzing count data

In this paper, we investigate right-truncated count data models incorporating cavariates into the parameters. A regression method is proposed to model right-truncated count data exibiting high heterogeneity. The study encompasses the formulation of the proposed model, parameter estimation using an Expectation-Maximisation (EM) algorithm, and the properties of these estimators. We also discuss model selection procedures for the proposed method. Furthermore, a Monte Carlo simulation study is presented to assess the performance of the proposed method and the model selection process. Results express accuracy under regularity conditions of the model. The method is used to analyze the determinants of the degree of adherence to preventive measures during teh COVID-19 pandemic. in northern Benin. The results show that a right-truncated Poisson mixture model is adequate to analyze these data. Using this model, we conclude that age, education level, and household size determine an individual's degree of adherence to preventive measures during COVID-19 in this region.