On Shrinkage Estimation of R(s,k) Based on Exponentiated Weibull Distribution

Abbas N. S., Fatima H. S.

Abstract: In this paper, estimation of a reliability of the multi-component system in stress-strength model R (s, k) is considered, when the stress and strength are independent random variables and follows the Exponentiated Weibull Distribution (EWD) with known first shape parameter and, the second shape parameter is unknown. Different shrinkage estimation methods of R (s, k) for (EWD) are introduced based on maximum likelihood and moment methods. The comparisons among the proposed estimators that depend on the simulation technique are made and mean squared error (MSE) is used as criteria.

Keywords: Exponentiated Weibull Distribution EWD, Reliability of multi-component Stress Strength models R s, k, Maximum likelihood estimator MLE, Moment estimator MOM, Shrinkage Estimator sh, mean squared error MSE