A Comparison between the Maximum Likelihood Method (MLM) and Least Square Method (LSM) To Estimate Parameters of Weibull-Gumbel Distribution by Using Simulation

Abstract

The Weibull-Gumbel distribution, which is resulting of the integration of two parameters Weibull Distribution, and Gumbel Distribution which where proposed distributions to expand the distribution of Weibull distribution by adding new parameters. In this research, a compares has been achieved between two methods of estimation to estimate the parameters of the proposed distribution by using simulation as a sampling technique for data from Weibull – Gumbel distribution with different samples sizes and parameters. The total standard deviations were used to compare accuracy of both estimation methods