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

Authors

Eman Ahmed Abdulateef Baghdad University, College of Education for Pure Sciences (Ibn Al â€“ Haitham)
Abbas Najim Salman

DOI:

https://doi.org/10.30526/32.1.1825

Keywords:

: Exponentiated Pareto Distribution (EPD), Reliability of multi-component Stress â€“ Strength models R(s,k), Maximum likelihood estimator (MLE), , Shrinkage estimator and mean squared error (MSE).

Abstract

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