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

Authors : Zohreh Pakdaman, Reza Alizadeh Noughabi

Pages : 269-288

Doi:10.15672/hujms.1126148

View : 185 | Download : 317

Publication Date : 2024-02-29

Article Type : Research Paper

Abstract :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.
Keywords : Stress strength reliability, stochastic order, bootstrap confidence interval