o:26391 Inference on reliability of stress-strength model with peng-yan extended weibull distributions en Abstract: In this paper we estimate R = P{X < Y} when X and Y are independent random variables following the Peng-Yan extended Weibull distribution. We find maximum likelihood estimator of R and its asymptotic distribution. This asymptotic distribution is used to construct asymptotic confidence intervals. In the case of equal shape parameters, we derive the exact confidence intervals, too. A procedure for deriving bootstrap-p confidence intervals is presented. The UMVUE of R and the UMVUE of its variance are derived and also the Bayes point and interval estimator of R for conjugate priors are obtained. Finally, we perform a simulation study in order to compare these estimators and provide a real data example. 1552099 10.2298/FIL2106927J 1552101 0354-5180 2022-09-02T12:35:43.796Z 44 yes 46 Зоран Видовић Учитељски факултет у Београду 0000-0002-6076-7073 application/pdf 314112 https://phaidrabg.bg.ac.rs/o:26391 no yes 1 70 92000001 11A42 Filomat 35 6 1927 1948 Faculty of Sciences and Mathematics, University of Niš, Serbia 2021 https://www.pmf.ni.ac.rs/filomat-content/2021/35-6/35-6-11-13757.pdf