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314338

Estimation of Reliability in Multi-Component Stress-Strength Model Following Exponentiated Pareto Distribution

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Last updated: 28 Dec 2024

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Abstract

This article deals with the Bayesian and non-Bayesian estimation of reliability of an s-out-of-k system with identical component strengths which are subjected to a common stress. Assuming that both stress and strength are assumed to have an exponentiated Pareto distribution with known and unequal shape parameters (1, 2). Five non-Bayesian methods of estimation will be used which are maximum likelihood, moments, percentile, least squares and weighted least squares. The Bayesian estimation will be studied under squared error and LINEX loss functions using Lindley's approximation. Based on a Monte Carlo simulation study, comparisons are made between the different estimators of system reliability by obtaining their absolute biases and mean squared errors. Comparison study revealed that the maximum likelihood estimator works the best among the competitors.  

DOI

10.21608/esju.2012.314338

Keywords

Stress-Strength Model, Reliability - Exponentiated Pareto - Maximum Likelihood Estimator - Moments Estimator - Percentile Estimator - Least Squares Estimator - Weighted Least Squares Estimator - Bayes Estimator - Noninformative Type Prior - Squared Error Loss Function - LI

Volume

56

Article Issue

2

Related Issue

43109

Issue Date

2012-12-01

Publish Date

2012-12-01

Page Start

82

Page End

95

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314338.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314338

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3

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Estimation of Reliability in Multi-Component Stress-Strength Model Following Exponentiated Pareto Distribution

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Article

Created At

28 Dec 2024