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

Abstract

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 θ and, the second shape parameter α 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.