The The Gamma Odd Burr X-G Family of Distributions with Applications

Abstract

A new family of distributions called Gamma Odd Burr X-G (GOBX-G) distribution is introduced in this paper. Its structural properties such as the density expansion, quantile function, moments and generating functions, incomplete moments, probability weighted moments, R´enyi entropy and order statistics were derived. Maximum likelihood technique is used to estimate the parameter of this model and simulation results are provided. The flexibility and applicability of this model is demonstrated using real life datasets.