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On Shrinkage Estimation for R (s, k) in Case of Exponentiated Pareto Distribution

Journal: Ibn Al-Haitham Journal For Pure And Applied Science مجلة ابن الهيثم للعلوم الصرفة والتطبيقية ISSN: P16094042/ E25213407 Year: 2019 Volume: 32 Issue: 1 Pages: 147-156
Publisher: Baghdad University جامعة بغداد

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Abstract

This paper concerns with deriving and estimating the reliability of the multicomponentsystem in stress-strength model R(s,k), when the stress and strength are identicalindependent distribution (iid), follows two parameters Exponentiated Pareto Distribution(EPD) with the unknown shape and known scale parameters. Shrinkage estimationmethod including Maximum likelihood estimator (MLE), has been considered.Comparisons among the proposed estimators were made depending on simulation basedon mean squared error (MSE) criteria.

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