Reliability Inference for Bivariate Lifetimes With Odd Fréchet Half-Logistic Marginals Under Unified Hybrid Censoring

Ehab M. Almetwally

Journal of Mathematics, 2026, vol. 2026, 1-26

Abstract: A bivariate lifetime model is proposed by coupling odd Fréchet half-logistic (OFHL) marginals with the Farlie–Gumbel–Morgenstern (FGM) copula under a unified hybrid censoring (UHC) scheme introducing UHC for bivariate lifetime models for the first time. We derive closed-form joint, marginal, and conditional distributions, product moments, the moment-generating function, and joint reliability and hazard functions. Inference for reliability is developed under both maximum likelihood and Bayesian paradigms, including point estimation and interval estimation for the joint reliability and hazard. Dependence is quantified via Kendall’s tau, Pearson’s copula correlation, and a copula-based median regression. A Monte Carlo study under UHC designs shows consistent estimators and that Bayesian procedures typically achieve lower bias, smaller mean squared error, and shorter intervals than classical methods. Five real data applications from medical and reliability/engineering domains demonstrate superior or competitive fits compared with established alternatives.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/4466462.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/4466462.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4466462

DOI: 10.1155/jom/4466462

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().