Comparison of the two methods (WLSE & CVME ) to estimate the parameters of an InvertedTopp-Leone-Exponentinal Probability Distribution with simulation

Abstract

One of the common and well-known models for generating new distributions is the process of synthesis of distributions, namely complex distributions. In this paper, a methodology was used to build a new proposed model for the inverted-Topp-leone distribution and the exponential distribution, which is the singular generalized exponential family ((single generalized exponential family) and symbolized by (OGE) to be a complex called (InvertedTopp_leone_odd generalized exponential distribution) with two parameters, parameter Measurement Ѳ and shape parameter λ, And estimating its parameters using weighted least squares estimation methods and Kramer von using simulation on it, Based on the simulation results, it was found that the weighted least squares method is more efficient for estimating parameters