A New Lifetime Distribution: Exponentiated Exponential-Pareto-HalfNormal Mixture Model for Biomedical Applications
Abstract
This study introduces the Exponentiated-Exponential-Pareto-Half Normal Mixture Distribution (EEPHND), a novel hybrid model developed to overcome the limitations of classical distributions in modeling complex real-world data. By compounding the Exponentiated-Exponential-Pareto (EEP) and Half-Normal distributions through a mixture mechanism, EEPHND effectively captures both early-time symmetry and long-tail behavior, features which are commonly observed in survival and reliability data. The model offers closed-form expressions for its probability density, cumulative distribution, survival and hazard functions, moments, and reliability metrics, ensuring analytical traceability and interpretability in the presence of censoring and heterogeneous risk dynamics. When applied to a real-world lung cancer dataset, EEPHND outperformed competing models in both goodness-of-fit and predictive accuracy, achieving a Concordance Index (CI) of 0.9997. These results highlight its potential as a flexible and powerful tool for survival analysis and biomedical engineering.
Keywords
Cite
@article{arxiv.2506.08313,
title = {A New Lifetime Distribution: Exponentiated Exponential-Pareto-HalfNormal Mixture Model for Biomedical Applications},
author = {Oriyomi Ahmad Hassan and Aisha Tunrayo Maradesa and Abdulazeez Toyosi Alabi and Oyejide Surajudeen Salam and Ajani Busari and Akinwale Victor Famotire and Habeeb Abiodun Afolabi and Solomon Adeleke and Abayomi Ayodele Akomolafe},
journal= {arXiv preprint arXiv:2506.08313},
year = {2025}
}
Comments
22 pages, 9 figures