Estimation of the reliability system in model of stress- strength according to distribution of inverse Rayleigh

In many real-life scenarios, stress-strength model is a significant level that notices efficincy in reliability system. Thus, this paper considers the stress–strength model with reliability estimation R=P(X<Y) based on the Distribution of Inverse Rayleigh (IRD). Few classical methods of estimation such as; Likelihood as Maximum (MLE), Uniformly Unbiased Minimum Variance estimator (UMVUE), and Moment method (MOM), and three types of shrinkage weight factors estimation methods were compared. Also, a simulation of Monte Carlo is utilized for comparing among proposed methods based on Mean Square Error (MSE).