A Comparison for Some of the estimation methods of the Parallel Stress-Strength model In the case of Inverse Rayleigh Distribution

Abstract

In this study, we consider the system reliability of parallel stress-strength model as an important part of system reliability by assuming the stress and the strengths random variables follows the one parameter Inverse Rayleigh Distribution. Some estimation methods, namely; Maximum Likelihood, Moment method, and Uniformly Minimum Variance Unbiased estimator and three types of shrinkage estimation methods were considered for estimating the system reliability. As well as, Monte Carlo simulation was used to get a comparison among all the suggested methods depends on the statistical indicator Mean Squared Error.