On Estimating Reliability Stress – Strength Model in Case the Weibull Pareto Distribution

In this paper we used the Weibull Pareto Distribution to establish mathematical formula of R1 which is Single and R2 is Series for the stress-strength model’s reliability. The stress-strength model is used to determine the reliability of a model with a single and Series component that has strength x and is stressed by y. Maximum likelihood Estimator, The Percentile Estimator, The Least Squares Estimator Method, The Shrinkage weight Estimator Method. The reliability of these estimations was investigated via using a simulation approach that allowes for additional item for different-sized stress and strength samples. The simulation analysis shows that the suggested shrinkage estimation approach works well and has made significant progress in the field of stress - strength reliability.