Assessing the Variance of Maximum Likelihood Estimates for Truncated Pseudo-Lindley Poisson Distribution: A Simulation-Based Approach.

Abstract:

This paper introduces a new lifetime probability distribution called the Truncated Pseudo-Lindley-Poisson Distribution (TPLPD), which generalizes the Pseudo-Lindley Distribution and the Poisson distribution. The distribution is a flexible distribution used to model count data with varying degrees of dispersion. This study also investigates the performance of Maximum Likelihood Estimation (MLE) for estimating the parameters of the Truncated Pseudo Lindley Poisson Distribution (TPLPD) through a simulation-based approach. The variance of MLE estimates is assessed under various sample sizes and parameter combinations. The results of the simulation study reveal that the variance of MLE estimates decreases as the sample size increases, and that the choice of parameter combinations significantly affects the variance.