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Dr. Ahmed Z. Afify :: Publications:

The transmuted exponentiated generalized-G family of distributions
Authors: Haitham M. Yousof;Ahmed Z. Afify;Morad Alizadeh;Nadeem Shafique Butt;G.G. Hamedani
Year: 2015
Keywords: Generating Function;Maximum Likelihood;Order Statistic; Transmuted-G Family;Exponentiated Generalized-G Family
Journal: Pakistan Journal of Statistics and Operation Research
Volume: 11
Issue: 4
Pages: 441-464
Publisher: Punjab University Press
Local/International: International
Paper Link:
Full paper Ahmed Zakarya Mohammad Afify_TExG-G Family_2015_PJSOR.pdf
Supplementary materials Not Available

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.

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