{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T15:49:03Z","timestamp":1772898543509,"version":"3.50.1"},"reference-count":45,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T00:00:00Z","timestamp":1662336000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University Researchers","award":["PNURSP2022R299"],"award-info":[{"award-number":["PNURSP2022R299"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In many real-life scenarios, systems frequently perform badly in difficult operating situations. The multiple failures that take place when systems reach their lower, higher, or extreme functioning states typically receive little attention from researchers. This study uses generalized progressive hybrid censoring to discuss the inference of R=P(X&lt;Y&lt;Z) for a component when it is exposed to two stresses, Y,Z, and it has one strength X that is regarded. We assume that both the stresses and strength variables follow an exponentiated exponential distribution with a common scale parameter. We obtain R\u2019s maximum likelihood estimator and approximate confidence intervals. In addition, the Bayesian estimators for symmetric, such as squared error, and asymmetric loss functions, such as linear exponential, are developed. Credible intervals with the highest posterior densities are established. Monte Carlo simulations are used to evaluate and compare the effectiveness of the many proposed estimators. The process is then precisely described using an analysis of real data.<\/jats:p>","DOI":"10.3390\/axioms11090455","type":"journal-article","created":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T20:48:25Z","timestamp":1662410905000},"page":"455","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Bayesian and Non-Bayesian Analysis of Exponentiated Exponential Stress\u2013Strength Model Based on Generalized Progressive Hybrid Censoring Process"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9579-6694","authenticated-orcid":false,"given":"Manal M.","family":"Yousef","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, New Valley University, El-Khargah 72511, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amal S.","family":"Hassan","sequence":"additional","affiliation":[{"name":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5154-7477","authenticated-orcid":false,"given":"Huda M.","family":"Alshanbari","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2853-0762","authenticated-orcid":false,"given":"Abdal-Aziz H.","family":"El-Bagoury","sequence":"additional","affiliation":[{"name":"Basic Science Department, Higher Institute of Engineering and Technology, El-Mahala El-Kobra 6734723, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3888-1275","authenticated-orcid":false,"given":"Ehab M.","family":"Almetwally","sequence":"additional","affiliation":[{"name":"Faculty of Business Administration, Delta University of Science and Technology, Gamasa 11152, Egypt"},{"name":"The Scientific Association for Studies and Applied Research, Al Manzalah 35646, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1080\/01621459.1974.10480238","article-title":"Estimation of reliability in a multi-component stress-strength model","volume":"69","author":"Bhattacharyya","year":"1974","journal-title":"J. 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