The Modified Power Series Inverted Exponentiated Generalized Class of Distributions: Statistical Measures, Model Fit, and Characterization

Abstract

Within the master thesis [1], the author considered the following random variable $$T=X^{-1}-1,$$ where $X$ follows the Kumaraswamy distribution, and obtains a so-called inverted Kumaraswamy distribution, and studies some properties and applications of this class of distributions in the context of the power series family [2]. Within the paper [3], they introduced the exponentiated generalized class of distributions and obtained some properties with applications. Based on these developments we introduce a class of modified power series inverted exponentiated generalized distributions and obtain some of their properties with applications. Some characterization theorems are also presented. Avenues for further research concludes the paper.