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

Abstract

In this paper, the problem of inferencing 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 are 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.