Estimation R(s,k) of Generalized Rayleigh Distribution

Abbas.N.S, Eman.A.A

Abstract: In this paper, a reliability of the multi-component system in stress-strength model R (s, k) will be considered, when the stress and strength are independent identically distribution (iid), follows Generalized Rayleigh Distribution (GRD) with the unknown shape parameter and known scale parameter ( =1). Different estimation methods of R (s, k) for (GRD) were introduced like Maximum likelihood, Least square and Shrinkage estimators. The comparisons among the proposed estimators were made depend on simulation based on mean squared error (MSE) criteria.

Keywords: Generalized Rayleigh Distribution GRD, Reliability of multi-component Stress Strength models R s, k, Maximum likelihood estimator MLE, least square estimator LS, Shrinkage estimator and mean squared error MSE