Estimation R(s,k) of Generalized Rayleigh Distribution

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.