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

Year 2024, Volume: 53 Issue: 1, 269 - 288, 29.02.2024

Zohreh Pakdaman , Reza Alizadeh Noughabi

https://doi.org/10.15672/hujms.1126148

Cited By: 1

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

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