Work

A novel discrete statistical model with applications on medical and health real data

Year: 2025

Type: article

Abstract: This study introduces and examines a novel two-parameter count probability distribution. The new distribution is developed by combining Poisson and two-parameter Chris-Jerry distributions and is named as “Poisson two-parameter Chris-Jerry” distribution. Key mathematical characteristics of this model are analyzed, including moments, moment-generating functions, variance, dispersion index, skewness, and kurtosis. Additionally, reliability features such as the hazard rate, and Shannon entropy are explored. The parameter estimation is performed using a renowned maximum likelihood estimation approach. A comprehensive simulation study is utilized to evaluate the performance of derived estimators. The model's flexibility is tested on four datasets from different domains, revealing that it offers greater flexibility compared to existing distributions.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2025.04.026

Authors: Muteb Faraj Alharthi, Samirah Alzubaidi

Institutions: Taif University, Umm al-Qura University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: Taif University