A new two-parameter over-dispersed discrete distribution with mathematical properties, estimation, regression model and applications

• DOI: 10.1016/j.heliyon.2024.e36764
• Publication Date: 2024-08-23T22:34:44Z
• Authors: Abdullah Ali H. A...; Muhammad Ahsan-ul...; Muhammad Nasir Sa...
• Keywords: Social sciences (General); H1-99; Q1-390; Science (General); 62-XX; 62E15; Research Article

This paper focuses on the derivation of a new two-parameter discrete probability distribution. The model is derived by mixing Poisson and Loai distributions named "Poisson Distribution". explores various mathematical properties model, introducing count-regression based this parameters are estimated using maximum likelihood estimation method. A comprehensive simulation study utilized to assess behavior estimators. importance proposed distribution confirmed through analysis three real datasets. It found that suggested has greatest match when compared all rival distributions, it may be viable alternative for assessing dispersed count data.