Suggested method of estimation for the two parameters of Weibull distribution using simulation technique

Abstract EN

In this paper, suggested method as well as the conventional methods (probability plot-(p.p.) for estimations of the two-parameters (shape and scale) of the Weibull distribution had proposed and the estimators had been implemented for different sample sizes small, medium, and large of size 20, 50, and 100 respectively by simulation technique.

The comparisons were carried out between different methods and sample sizes.

It was observed from the results that suggested method which were performed for the first time (as far as we know), by using MSE indicator, the comparisons between the studied and suggested methods can be summarized through extremely asymptotic for indicator (MSE) results by generating random errors with W(1, 1) and with generating with N(0,  2 ) at the first contrast (1, 1).The suggested method was reported better performance through the sequentially status of ascending ordered for assumed initial contrast parameters, specially with generating of random error with W (1, 1) cooperation with generating of N (0,δ) in the simple linear regression equation.