Work

A novel flexible three-parameter zero-inflated discrete distribution with applications in medical-related fields

Year: 2025

Type: article

Abstract: In this paper, we offer a novel flexible three-parameter zero-inflated discrete distribution that proves to be ideal for the analysis of over-dispersed count data. The first contribution is to determine some of its key properties, such as mean, variance, and expressions for the main generating functions. We then emphasize inference and data analysis applications. The estimation of the three unknown parameters is carried out by means of the maximum likelihood estimation method. Based on the examination of six real data sets, the proposed distribution highlights its practical relevance and versatility in different scenarios. Furthermore, the applied component is fully transparent to the reader: the R computational codes for the proposed distribution are constructed and included in the appendix.

Source: Journal of Radiation Research and Applied Sciences

DOI: 10.1016/j.jrras.2025.101515

Authors: Ehab M. Almetwally, Laila A. Al-Essa, Muhammad Imran, Farrukh Jamal, Christophe Chesneau, Mohamed A. Abdelkawy

Institutions: Imam Mohammad ibn Saud Islamic University, Princess Nourah bint Abdulrahman University, Islamia University of Bahawalpur, Université de Caen Normandie

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,400

OpenAlex ID: W4409839872