Different Estimation Methods for System Reliability Multi-Components model: Exponentiated Weibull Distribution

Abstract

In this paper, estimation of system reliability of the multi-components in stress-strength model R(s,k) is considered, when the stress and strength are independent random variables and follows the Exponentiated Weibull Distribution (EWD) with known first shape parameter θ and, the second shape parameter α is unknown using different estimation methods. Comparisons among the proposed estimators through Monte Carlo simulation technique were made depend on mean squared error (MSE) criteria

Keywords

• Exponentiated Weibull Distribution (EWD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), Moment estimator (MOM), shrinkage method (Sh), Least Squares Estimator (LS), Rank Set Sampling (RSS). and mean squared error (MSE).