Estimation the Reliability System of Multicomponent Stress-Strength Model Built on Generalized Exponential Distribution

الملخص

Abstract:
A reliability of the multi-component system in stress-strength model R(s,k) will be considered in present paper ,when the stress and strength are independent identically distribution (iid), follows Generalized Exponential Distribution(GED) with the unknown shape parameter and known scale parameter and equal to one. Different estimation methods of R(s,k) for (GED) were introduced corresponding to Maximum likelihood , Percentile estimator and Shrinkage estimators . The comparisons among the proposed estimators prepared depend on simulation based on mean squared error (MSE) criteria.
Keywords: Generalized Exponential Distribution(GED), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), Percentile estimator (PCE) , Shrinkage estimator and mean squared error (MSE).