A new regression model for Poisson Lindley distribution with application

Abstract

The main goal of this study is to propose a new regression model using re-parameterization of the Poisson-Lindley distribution for seven parameters. The utility of real-world data is used to assess the accuracy of estimating algorithms. The suggested model is compared to well-known regression models for count data modelling, such as Poisson, on a real data set to demonstrate its utility. While fitting two real data sets, the (GPL7) linear model will be compared to the Poisson for seven parameters and the (GPL4) linear model will be compared to the Poisson for four parameters. The GPL7 linear model was found to be capable of fitting over-dispersed count data and to have the maximum log-likelihood, according to the results.