سومین سمینار تخصصی قابلیت اعتماد و کاربردهای آن , 2017-05-16

Title : ( ESTIMATION OF STRESS-STRENGTH RELIABILITY FOR THE PARETO DISTRIBUTION IN THE PRESENCE OF OUTLIERS )

Authors: Mehdi Jabbari Nooghabi ,

Citation: BibTeX | EndNote

Abstract

The present paper discussed the problem of estimating the stress-strength reli- ability parameter R = P(X < Y ), where X and Y follow the Pareto distribution, independently. Assuming X has the Pareto distribution in the presence of outliers and the random variable Y is not contaminated with outliers. Di erent estimators of R were derived when only the shape parameters are unknown. In particular, we obtain the maximum likelihood, moment method and least squares estimator of the unknown parameters and derived estimates of R. Also, in each situation the shrinkage estimation of the stress-strength reliability parameter is derived by using a prior guess R0. Monte Carlo simulation study has been used to compare the di erent methods of estimation in any situation.

Keywords

, Shrinkage estimation, Pareto distribution, Maximum likelihood estimator, Moment method, Least squares, Stress strength model, Outliers.
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@inproceedings{paperid:1063117,
author = {Jabbari Nooghabi, Mehdi},
title = {ESTIMATION OF STRESS-STRENGTH RELIABILITY FOR THE PARETO DISTRIBUTION IN THE PRESENCE OF OUTLIERS},
booktitle = {سومین سمینار تخصصی قابلیت اعتماد و کاربردهای آن},
year = {2017},
location = {مشهد, IRAN},
keywords = {Shrinkage estimation; Pareto distribution; Maximum likelihood estimator; Moment method; Least squares; Stress strength model; Outliers.},
}

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%0 Conference Proceedings
%T ESTIMATION OF STRESS-STRENGTH RELIABILITY FOR THE PARETO DISTRIBUTION IN THE PRESENCE OF OUTLIERS
%A Jabbari Nooghabi, Mehdi
%J سومین سمینار تخصصی قابلیت اعتماد و کاربردهای آن
%D 2017

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