Study of the properties of the "Exponentiated Weibull" distribution based on the Exponentiated Chen G- family with simulation

Abstract

In this study, a suggested distribution of continuous distributions is presented by fitting the Exponentiated Weibull distribution with the Exponentiated Chen G-family to obtain the new distribution namely the Exponentiated Chen Exponentiated Weibull distribution. The cumulative distribution function (CDF) and the probability density function (PDF) have been derived. Simulation Study In this section of article, we discuss some simulations for different sample size to determine the efficiency of MLEs. The different methods have been derived for simulating a random variable like the inversion method, the rejection, acceptance sampling techniques, and many more from different probability distributions in the field of computational statistics. The Inversion method is considered the most powerful technique. Through simulation, it appears that the greatest potential approach produces good outcomes. Therefore, in order to get satisfactory results, we advise researchers to either expand this distribution using additional non-continuous or continuous families or use the simulation approach using other statistical programs to increase the quality of the model's fit.

Keywords

• The Exponentiated Chen G- family, R'enyi Entropy, Moments, Maximum likelihood estimation.