On the study of the stress-strength reliability in Weibull-F Models

In this paper, the problem of inferencing on the stress -strength reliability under Weibull -F Models when the stress and strength systems belong to the different families of distributions from the Weibull -F Model is considered. Some stochastic comparisons between the survival distribution functions of this model are obtained. Also, the asymptotic and several bootstrap confidence intervals of stress -strength reliability are studied. The efficiency of asymptotic and bootstrap confidence intervals are analyzed by simulation. The numerical example based on real -life data is displayed as an illustration.