On Estimating Reliability of a Stress – Strength Model in Case of Rayleigh Pareto Distribution

The stress – strength model is one of the models that are used to compute reliability. In this paper, we derived mathematical formulas for reliability follows Rayleigh Pareto (Rayl. Par) distribution. Here, has a single component, where Y subjected X, represented by moment, function, restricted behavior, and ordering statistics. Some estimation methods were used, which maximum likelihood, ordinary least squares, two shrinkage methods, in addition newly suggested method weighting contraction. performance these estimates was studied empirically using simulation experimentation could give more varieties different-sized samples strength. most interesting finding indicates superiority proposed method.