A Gauss Hypergeometric-Type Model for Heavy-Tailed Survival Times in Biomedical Research
- Title
- A Gauss Hypergeometric-Type Model for Heavy-Tailed Survival Times in Biomedical Research
- Creator
- Gillariose, Jiju; Abdelwahab, Mahmoud M.; Joseph, Joshin; Hasaballah, Mustafa M.
- Description
- In this study, we introduced and analyzed the SlashLogLogistic (SlaLL) distribution, a novel statistical model developed by applying the slash methodology to loglogistic and beta distributions. The SlaLL distribution is particularly suited for modeling datasets characterized by heavy tails and extreme values, frequently encountered in survival time analyses. We derived the mathematical representation of the distribution involving Gauss hypergeometric and beta functions, explicitly established the probability density function, cumulative distribution function, hazard rate function, and reliability function, and provided clear definitions of its moments. Through comprehensive simulation studies, the accuracy and robustness of maximum likelihood and Bayesian methods for parameter estimation were validated. Comparative empirical analyses demonstrated the SlaLL distributions superior fitting performance over well-known slash-based models, emphasizing its practical utility in accurately capturing the complexities of real-world survival time data. 2025 by the authors.
- Source
- Symmetry;Volume;17;Issue;11;Article No.;1795;
- Date
- 01-01-2025
- Publisher
- Multidisciplinary Digital Publishing Institute (MDPI)
- Subject
- Bayesian estimation; Gauss hypergeometric function; heavy-tailed data; loglogistic distribution; maximum likelihood estimation; survival analysis
- Coverage
- Gillariose J., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bangalore, 560029, India; Abdelwahab M.M., Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; Joseph J., School of Commerce and Professional Studies, Marian College Kuttikkanam, Kerala, Peermade, 685531, India; Hasaballah M.M., Department of Basic Sciences, Marg Higher Institute of Engineering and Modern Technology, Cairo, 11721, Egypt
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 20738994;
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Gillariose, Jiju; Abdelwahab, Mahmoud M.; Joseph, Joshin; Hasaballah, Mustafa M., “A Gauss Hypergeometric-Type Model for Heavy-Tailed Survival Times in Biomedical Research,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23545.