{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T04:16:35Z","timestamp":1772338595194,"version":"3.50.1"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T00:00:00Z","timestamp":1718150400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Yunnan Fundamental Research Projects","award":["202401AT070116"],"award-info":[{"award-number":["202401AT070116"]}]},{"name":"Yunnan Fundamental Research Projects","award":["202302AN360007"],"award-info":[{"award-number":["202302AN360007"]}]},{"name":"Yunnan Key Laboratory of Modern Analytical Mathematics and Applications","award":["202401AT070116"],"award-info":[{"award-number":["202401AT070116"]}]},{"name":"Yunnan Key Laboratory of Modern Analytical Mathematics and Applications","award":["202302AN360007"],"award-info":[{"award-number":["202302AN360007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper explores the inference for a constant-stress accelerated life test under a ranked set sampling scenario. When the lifetime of products follows the Fr\u00e9chet distribution, and the failure times are collected under a maximum ranked set sampling with unequal samples, classical and Bayesian approaches are proposed, respectively. Maximum likelihood estimators along with the existence and uniqueness of model parameters are established, and the corresponding asymptotic confidence intervals are constructed based on asymptotic theory. Under squared error loss, Bayesian estimation and highest posterior density confidence intervals are provided, and an associated Monte-Carlo sampling algorithm is proposed for complex posterior computation. Finally, extensive simulation studies are conducted to demonstrate the performance of different methods, and a real-data example is also presented for applications.<\/jats:p>","DOI":"10.3390\/axioms13060394","type":"journal-article","created":{"date-parts":[[2024,6,13]],"date-time":"2024-06-13T06:23:11Z","timestamp":1718259791000},"page":"394","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Inference of Constant-Stress Model of Fr\u00e9chet Distribution under a Maximum Ranked Set Sampling with Unequal Samples"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8395-8895","authenticated-orcid":false,"given":"Jia","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics, Yunnan Normal University, Kunming 650500, China"}]},{"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"}]},{"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, Bihta 801106, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1080-0231","authenticated-orcid":false,"given":"Yuhlong","family":"Lio","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of South Dakota, Vermillion, SD 57069, USA"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1080\/16843703.2022.2147688","article-title":"Interval estimation of the two-parameter exponential constant stress accelerated life test model under Type-II censoring","volume":"20","author":"Wu","year":"2023","journal-title":"Qual. 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