Work

Statistical analysis of radiation data using power unit moment exponential distribution

Year: 2025

Type: article

Abstract: This article introduces the Power unit moment exponential (PUME) distribution, a novel lifetime model designed explicitly for data confined to the interval [0,1]. The statistical properties of the PUME distribution are comprehensively analyzed, including moments, inverse moments, variance, skewness, kurtosis, hazard rate function, quantile function, Bonferroni and Lorenz curves, and the Rényi entropy measure. Various estimation techniques, such as maximum likelihood, least squares, weighted least squares, maximum product of spacings, Cramér-von Mises, Anderson-Darling, and right-tail Anderson-Darling methods, are explored. The model's applicability and performance are demonstrated through a simulation study and its application to two radiation datasets. Comparative analyses reveal that the PUME distribution outperforms existing models, underscoring its utility and effectiveness in modeling lifetime radiation data.

Source: Journal of Radiation Research and Applied Sciences

DOI: 10.1016/j.jrras.2025.101432

Authors: Ghadah Alomani, Mohamed Kayid, Ahmed Mohamed Elgazar

Institutions: Princess Nourah bint Abdulrahman University, King Saud 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: $1,400

Funder: Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University