{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T20:08:06Z","timestamp":1766088486426,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T00:00:00Z","timestamp":1753401600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004242","name":"Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia","doi-asserted-by":"publisher","award":["PNURSP2025R744"],"award-info":[{"award-number":["PNURSP2025R744"]}],"id":[{"id":"10.13039\/501100004242","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper addresses the limitations of existing bivariate generalized exponential (GE) distributions for modeling lifetime data, which often exhibit rigid dependence structures or non-GE marginals. To overcome these limitations, we introduce four new bivariate GE distributions based on the Farlie\u2013Gumbel\u2013Morgenstern, Gumbel\u2013Barnett, Clayton, and Frank copulas, which allow for more flexible modeling of various dependence structures. We employ a Bayesian framework with Markov Chain Monte Carlo (MCMC) methods for parameter estimation. A simulation study is conducted to evaluate the performance of the proposed models, which are then applied to a real-world dataset of electrical treeing failures. The results from the data application demonstrate that the copula-based models, particularly the one derived from the Frank copula, provide a superior fit compared to existing bivariate GE models. This work provides a flexible and robust framework for modeling dependent lifetime data.<\/jats:p>","DOI":"10.3390\/axioms14080574","type":"journal-article","created":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T09:35:11Z","timestamp":1753436111000},"page":"574","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Bayesian Inference for Copula-Linked Bivariate Generalized Exponential Distributions: A Comparative Approach"],"prefix":"10.3390","volume":"14","author":[{"given":"Carlos A.","family":"dos Santos","sequence":"first","affiliation":[{"name":"Department of Statistics, Maring\u00e1 State University, Maring\u00e1 87020-900, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0481-0372","authenticated-orcid":false,"given":"Saralees","family":"Nadarajah","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Manchester of University, Manchester M13 9PL, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2445-0407","authenticated-orcid":false,"given":"Fernando A.","family":"Moala","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Science and Technology, Sao Paulo State University, Sao Paulo 19060-900, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3189-0670","authenticated-orcid":false,"given":"Hassan S.","family":"Bakouch","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-1149-8244","authenticated-orcid":false,"given":"Shuhrah","family":"Alghamdi","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1111\/1467-842X.00072","article-title":"Generalized exponential distributions","volume":"41","author":"Gupta","year":"1999","journal-title":"Aust. 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