Open AccessMathematics

H. Yousof, A. Afify, M. Alizadeh, Nadeem Shafique Butt, G. Hamedani, M. M. Ali

2015.12.3Pakistan Journal of Statistics and Operation Research

DOI: 10.18187/pjsor.v11i4.1164

tlooto Summary

A new class of continuous distributions called the transmuted exponentiated generalized-G family is introduced which extends the exponentiated G class introduced by Cordeiro et al. (2013) and some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi and Shannon entropies, order statistics and probability weighted moments are derived.

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, Renyi 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 applications to real dataset.

Citation format

YOUSOF, H., et al. The transmuted exponentiated generalized-g family of distributions. Pakistan Journal of Statistics and Operation Research, 2015, 11: 441–464.