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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 applications to real dataset.


Generating Function Maximum Likelihood Order Statistic Transmuted-G Family Exponentiated Generalized-G Family

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Author Biography

Nadeem Shafique Butt

Department of Family and Community Medicine, Faculty of Medicine in Rabigh

King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia

How to Cite
Yousof, H. M., Afify, A. Z., Alizadeh, M., Butt, N. S., Hamedani, G., & Ali, M. M. (2015). The Transmuted Exponentiated Generalized-G Family of Distributions. Pakistan Journal of Statistics and Operation Research, 11(4), 441-464.

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