On the study of the stress-strength reliability in Weibull-$F$ Models-Reference-Cited by-同舟云学术

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

Published:2024-02-29 Issue:1 Volume:53 Page:269-288
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:
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Author:

PAKDAMAN Zohreh¹^ORCID,ALİZADEH NOUGHABİ Reza²^ORCID

Affiliation:

1. University of Hormozgan

2. Amirkabir University of Technology (Tehran polytechnic)

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.

Publisher

Hacettepe University

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