A New Lifetime Distribution: Exponentiated Exponential-Pareto-HalfNormal Mixture Model for Biomedical Applications

Oriyomi Ahmad Hassan; Aisha Tunrayo Maradesa; Abdulazeez Toyosi Alabi; Oyejide Surajudeen Salam; Ajani Busari; Akinwale Victor Famotire; Habeeb Abiodun Afolabi; Solomon Adeleke; Abayomi Ayodele Akomolafe

arXiv · 2506.08313

A New Lifetime Distribution: Exponentiated Exponential-Pareto-HalfNormal Mixture Model for Biomedical Applications

Oriyomi Ahmad Hassan·Aisha Tunrayo Maradesa·Abdulazeez Toyosi Alabi·Oyejide Surajudeen Salam·Ajani Busari·Akinwale Victor Famotire·Habeeb Abiodun Afolabi·Solomon Adeleke·Abayomi Ayodele Akomolafe

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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.

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Oriyomi Ahmad Hassan, Aisha Tunrayo Maradesa, Abdulazeez Toyosi Alabi, Oyejide Surajudeen Salam, Ajani Busari, Akinwale Victor Famotire, Habeeb Abiodun Afolabi, Solomon Adeleke, Abayomi Ayodele Akomolafe. 2025-06-10. A New Lifetime Distribution: Exponentiated Exponential-Pareto-HalfNormal Mixture Model for Biomedical Applications. https://arxiv.org/abs/2506.08313

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