Comparison of four non-Bayesian methods to estimate the scale parameter for Modified Weibull distribution by using the Simulation

Abstract

In this paper, four methods were obtained to estimate the scale parameter of Modified Weibull distribution using complete data, which are the Modified Moments Estimator (MME), the Maximum Likelihood Estimator (MLE), White Estimator (WE) and Least Squares Estimator (LSE), Monte Carlo simulation is used to compare these four estimators with respect to the Mean Square Error criteria (MSE), and the results on simulated samples of the comparison showed that for all the varying sample size in this study, and in all cases for the four methods The MLE method is best followed by the OLSE method then the WE method and the MME method .