{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T02:15:36Z","timestamp":1773886536706,"version":"3.50.1"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2021,5,26]],"date-time":"2021-05-26T00:00:00Z","timestamp":1621987200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2021,5,26]]},"abstract":"<jats:p>In this article, based on progressively type-II censored schemes, the maximum likelihood, Bayes, and two parametric bootstrap methods are used for estimating the unknown parameters of the Weibull Fr\u00e9chet distribution and some lifetime indices as reliability and hazard rate functions. Moreover, approximate confidence intervals and asymptotic variance-covariance matrix have been obtained. Markov chain Monte Carlo technique based on Gibbs sampler within Metropolis\u2013Hasting algorithm is used to generate samples from the posterior density functions. Furthermore, Bayesian estimate is computed under both balanced square error loss and balanced linear exponential loss functions. Simulation results have been implemented to obtain the accuracy of the estimators. Finally, application on the survival times in years of a group of patients given chemotherapy and radiation treatment is presented for illustrating all the inferential procedures developed here.<\/jats:p>","DOI":"10.1155\/2021\/9965856","type":"journal-article","created":{"date-parts":[[2021,5,27]],"date-time":"2021-05-27T19:44:57Z","timestamp":1622144697000},"page":"1-12","source":"Crossref","is-referenced-by-count":4,"title":["Inferences for Weibull Fr\u00e9chet Distribution Using a Bayesian and Non-Bayesian Methods on Gastric Cancer Survival Times"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7828-3536","authenticated-orcid":true,"given":"Rashad M.","family":"EL-Sagheer","sequence":"first","affiliation":[{"name":"Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ethar M.","family":"Shokr","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed A. 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