{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:03:32Z","timestamp":1760058212510,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,16]],"date-time":"2025-03-16T00:00:00Z","timestamp":1742083200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Yunnan Fundamental Research Projects","award":["202401AT070116","202302AN360007","202405AS350003","12201395"],"award-info":[{"award-number":["202401AT070116","202302AN360007","202405AS350003","12201395"]}]},{"name":"Yunnan Key Laboratory of Modern Analytical Mathematics and Applications","award":["202401AT070116","202302AN360007","202405AS350003","12201395"],"award-info":[{"award-number":["202401AT070116","202302AN360007","202405AS350003","12201395"]}]},{"name":"Cross-integration Innovation team of Modern Applied Mathematics and Life Sciences in Yunnan Province, China","award":["202401AT070116","202302AN360007","202405AS350003","12201395"],"award-info":[{"award-number":["202401AT070116","202302AN360007","202405AS350003","12201395"]}]},{"name":"National Natural Science Foundation of China","award":["202401AT070116","202302AN360007","202405AS350003","12201395"],"award-info":[{"award-number":["202401AT070116","202302AN360007","202405AS350003","12201395"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, inference under dependent competing risk data is considered with multiple causes of failure. We discuss both classical and Bayesian methods for estimating model parameters under the assumption that data are observed under generalized progressive hybrid censoring. The maximum likelihood estimators of model parameters are obtained when occurrences of latent failure follow a bivariate inverted exponentiated Pareto distribution. The associated existence and uniqueness properties of these estimators are established. The asymptotic interval estimators are also constructed. Further, Bayes estimates and highest posterior density intervals are derived using flexible priors. A Monte Carlo sampling algorithm is proposed for posterior computations. The performance of all proposed methods is evaluated through extensive simulations. Moreover, a real-life example is also presented to illustrate the practical applications of our inferential procedures.<\/jats:p>","DOI":"10.3390\/axioms14030217","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T06:36:23Z","timestamp":1742193383000},"page":"217","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Inference for Dependent Competing Risks with Partially Observed Causes from Bivariate Inverted Exponentiated Pareto Distribution Under Generalized Progressive Hybrid Censoring"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7719-1480","authenticated-orcid":false,"given":"Rani","family":"Kumari","sequence":"first","affiliation":[{"name":"School of Business, University of Petroleum and Energy Studies, Dehradun 248007, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9687-6036","authenticated-orcid":false,"given":"Yogesh Mani","family":"Tripathi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Patna, Patna 801106, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4342-2487","authenticated-orcid":false,"given":"Rajesh Kumar","family":"Sinha","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Patna, Patna 800005, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2600-5112","authenticated-orcid":false,"given":"Liang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Yunnan Normal University, Kunming 650500, China"},{"name":"Yunnan Key Laboratory of Modern Analytical Mathematics and Applications, Yunnan Normal University, Kunming 650500, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0378-3758(99)00193-7","article-title":"Analysis of incomplete data in presence of competing risks","volume":"87","author":"Kundu","year":"2000","journal-title":"J. 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