Statistical Inference in a Zero-Inflated Bell Regression Model

Essoham Ali, Mamadou Lamine Diop, Aliou Diop · Mathematical Methods of Statistics · 2022

Abstract In this paper, we study the asymptotic properties of the Maximum Likelihood Estimator (MLE) for a Zero-Inflated Bell regression model. Under some regularity conditions, we establish that the estimator is consistent and asymptotically normal. This lends a substantial support to the empirical findings that have already been obtained by some authors. Monte Carlo simulations are conducted to numerically illustrate the main results. The model is applied to a dataset of healthcare demand in USA.

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