{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T09:21:53Z","timestamp":1762161713516,"version":"build-2065373602"},"reference-count":42,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T00:00:00Z","timestamp":1638835200000},"content-version":"vor","delay-in-days":340,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006261","name":"Taif University","doi-asserted-by":"publisher","award":["TURSP-2020\/318"],"award-info":[{"award-number":["TURSP-2020\/318"]}],"id":[{"id":"10.13039\/501100006261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this article, we consider estimation of the parameters of a generalized Pareto distribution and some lifetime indices such as those relating to reliability and hazard rate functions when the failure data are progressive first\u2010failure censored. Both classical and Bayesian techniques are obtained. In the Bayesian framework, the point estimations of unknown parameters under both symmetric and asymmetric loss functions are discussed, after having been estimated using the conjugate gamma and discrete priors for the shape and scale parameters, respectively. In addition, both exact and approximate confidence intervals as well as the exact confidence region for the estimators are constructed. A practical example using a simulated data set is analyzed. Finally, the performance of Bayes estimates is compared with that of maximum likelihood estimates through a Monte Carlo simulation study.<\/jats:p>","DOI":"10.1155\/2021\/9325928","type":"journal-article","created":{"date-parts":[[2021,12,7]],"date-time":"2021-12-07T17:35:08Z","timestamp":1638898508000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Inferences for Generalized Pareto Distribution Based on Progressive First\u2010Failure Censoring Scheme"],"prefix":"10.1155","volume":"2021","author":[{"given":"Rashad M.","family":"El-Sagheer","sequence":"first","affiliation":[]},{"given":"Taghreed M.","family":"Jawa","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2431-6849","authenticated-orcid":false,"given":"Neveen","family":"Sayed-Ahmed","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,12,7]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1080\/00031305.1995.10476150"},{"key":"e_1_2_11_2_2","first-page":"1","article-title":"Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive Type-II censored samples","volume":"58","author":"Balakrishnan N.","year":"1996","journal-title":"Sankhya Series B"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1963.10490102"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1971.10488815"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2005.853036"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2002.805786"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.1983.5221484"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1080\/00949659608811749"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-9473(01)00091-3"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11749-007-0061-y"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2004.842528"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/03610920701825957"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/03610920902855951"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.18576\/jsap\/030105"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1515\/eqc-2014-0005"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40065-015-0127-8"},{"key":"e_1_2_11_17_2","first-page":"17","article-title":"Estimation using progressively Type-II censored data from Rayleigh distribution with binomial removals: Bayesian and non-Bayesian approach","volume":"8","author":"El-Sagheer R. 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