The Transmuted Exponentiated Generalized-G Family of Distributions, By Morad Alizadeh

Research

Title	The Transmuted Exponentiated Generalized-G Family of Distributions
Type	Article
Keywords	Generating Function, Maximum Likelihood, Order Statistic, Transmuted-G Family, Exponentiated Generalized-G Family.
Journal	Pakistan Journal of Statistics and Operation Research
DOI	https://doi.org/10.18187/pjsor.v11i4.1164
Researchers	Haitham Yousof (First researcher) , Ahmed Afify (Second researcher) , Morad Alizadeh (Third researcher) , Nadeem shafigh butt (Fourth researcher) , G.G Hamedani (Fifth researcher) , Mir Masoom Ali Mir Masoom Ali (Not in first six researchers)

Abstract

We introduce a new class of continuous distributions called the transmuted exponentiated generalized-G family which extends the exponentiated generalized-G class introduced by Cordeiro et al. (2013). We provide some special models for the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of an application to a real dataset.