Shrinkage Estimators in Zero-Inflated Bell Regression Model with Application

We suggest Stein-type estimators for zero-inflated Bell regression models by incorporating information on model parameters. These estimators combine the advantages of unrestricted and restricted estimators. We derive the asymptotic distributional properties, including bias and mean squared error, for the suggested shrinkage estimators. Monte Carlo simulations demonstrate the superior performance of our shrinkage estimators across various scenarios. Furthermore, we apply the suggested estimators to analyze a real dataset, showcasing their practical utility.