The research aims to estimate reliability function for the Weibull distribution with two parameters of a parametric methods , namely (MLM, MOM, RRYM, RRXM, NWLSM), as well as an estimate of the reliability function of nonparametric method, namely( EM,PLEM, EKMEM, WEKM, MKMM, WMR, MMO,MMT).
Simulation techniques was used for the purpose of comparison using different samples sizes (20,40,60,80,100) to find the best methods in the estimate based on the index the statistical integral mean square error (IMSE), research has come to find the weight of a proposed rate (1), and Weight proposed rate (2) of the weighted empirical Kaplan Meier estimator method (WEKM), The research found that the parametric method to estimate the reliability function which is (Maximum Likelihood (MLM)), and for the best nonparametric method which is
( Empirical methods (EM)). |