The Transmuted Exponentiated Generalized-G Family of Distributions | [Pakistan Journal of Statistics and Operation Research • 2015]

Author(s):

1. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance Benha University, Egypt

2. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance Benha University, Egypt

3. Morad Alizadeh: Department of Statistics, Faculty of Sciences Gulf University, Bushehr, 75169, Iran

4. Nadeem Shafique Butt: Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia

5. G.G. Hamedani: Department of Mathematics, Statistics and Computer Science Marquette University, USA

6. M. Masoom Ali: Department of Mathematical Sciences Ball State University, Muncie, Indiana 47306, USA

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.

Page(s): 441-464

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 11, Issue: 4, Year: 2015

Keywords:

maximum likelihood , Order statistic , Generating Function , Exponentiated GeneralizedG Family , TransmutedG Family

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