7591a1c7-8a01-4b84-8591-e9012216082120210609040438743wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40513220213220212010.37394/23206.2021.20https://wseas.org/wseas/cms.action?id=23278Refah MohammedAlotaibiMathematical Sciences Department, College of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi ArabiaYogesh ManiTripathiDepartment of Mathematics, Indian Institute of Technology Patna, Bihta-801106, IndiaSankuDeyDepartment of Statistics, St. Anthony's College, Shillong-793001, Meghalaya, IndiaHoda RagabRezkDepartment of Statistics, Al-azhar University, Cairo, EgyptIn this paper, inference upon stress-strength reliability is considered for unit-Weibull distributions with a common parameter under the assumption that data are observed using progressive type II censoring. We obtain di_erent estimators of system reliability using classical and Bayesian procedures. Asymptotic interval is constructed based on Fisher information matrix. Besides, boot-p and boot-t intervals are also obtained. We evaluate Bayes estimates using Lindley's technique and Metropolis-Hastings (MH) algorithm. The Bayes credible interval is evaluated using MH method. An unbiased estimator of this parametric function is also obtained under know common parameter case. Numerical simulations are performed to compare estimation methods. Finally, a data set is studied for illustration purposes.692021692021288299https://www.wseas.org/multimedia/journals/mathematics/2021/a605106-1401.pdf10.37394/23206.2021.20.30https://www.wseas.org/multimedia/journals/mathematics/2021/a605106-1401.pdfAlsayed, A. and Manzi, G., A comparison of monotonic correlation measures with outliers, WSEAS Transactions on Computers, 18, Art. 29, (2019), 223-230. 10.1080/16583655.2020.1806525Alotaibi, R. M., Tripathi, Y. M., Dey, S. and Rezk, H. 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