A Study of the Odd Lindley Half Logistic Bivariate Survival Model: A Bayesian Approach

• Grant number: 24/09665-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): September 01, 2024
• Effective date (End): August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Adriano Kamimura Suzuki
• Grantee: Arthur Martins Ferreira de Sousa
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this study, we introduce a new bivariate survival model called the OLiHL bivariate model, which is based on the Farlie-Gumbel-Morgenstern (FGM) copula, while the marginals are modeled by the Odd Lindley Half Logistic distribution, suitable for modeling complete or censored data. To conduct inferences, we adopt a Bayesian approach, employing Markov Chain Monte Carlo (MCMC) methods. We demonstrate the applicability of the model on simulated and real data sets, with all computational implementations carried out using the JAGS and R systems.