Inference on reliability of stress-strength model with Peng-Yan extended Weibull distributions

In this paper we estimate R = PfX < Yg when X and Y are independent random variables following the Peng-Yan extended Weibull distribution. We find maximum likelihood estimator of its asymptotic This distribution is used to construct confidence intervals. case equal shape parameters, derive exact intervals, too. A procedure for deriving bootstrap-p intervals presented. The UMVUE variance derived also Bayes point interval conjugate priors obtained. Finally, perform a simulation study in order compare these estimators provide real data example.