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314784

On a Stress-Strength Model in Weibull Case

Article

Last updated: 28 Dec 2024

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Abstract

In this paper three estimators for the reliability function P (Y < X), (MLE, UMVUE and Bayes estimators) are given when X and Y are two independent but not identically distributed Weibull random variables with common and known shape parameter. A simulation studies which compare the estimators are presented. Moreover, sensitivity of Bayes estimator to the prior parameters is considered.

DOI

10.21608/esju.1996.314784

Keywords

Stress-Strength Model, Weibull distribution, MLE, UMVUE, Bayes estimation, Hypergeometric Function

Volume

40

Article Issue

2

Related Issue

43152

Issue Date

1996-12-01

Publish Date

1996-12-01

Page Start

119

Page End

126

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314784.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314784

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1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

On a Stress-Strength Model in Weibull Case

Details

Type

Article

Created At

28 Dec 2024