Some Methods for Estimating the Parameters of A New Generalized Gamma- Weibull Distribution

Abstract

 In this paper, four different estimation methods are presented to estimate distribution parameters of A New Generalized Gamma-Weibull Distribution (NGGW)  it represented Maximum Likelihood Method (ML), Weighted Least Square Method (WLS) , Power Density Method (PD), and Mean Standard Deviation Method (MSD). In order to obtain the best results, the study compared the estimation methods by applying the Monte Carlo simulation method using the Wolfram Mathematica 13 program. Several experiments were conducted with different sample sizes (n=20,50,100 and 250), and the results showed the superiority of the maximum potential method in finding estimates of distribution parameters compared to the rest of the methods used in this paper.