The Transmuted Geometric-g Family of Distributions: Theory and Applications. | [Pakistan Journal of Statistics • 2016]

Author(s):

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

2. Morad Alizadeh: Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr, Iran

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

4. Gokarna Aryal: Department of Mathematics, CS and Statistics, Purdue University Calumet, USA

5. Munir Ahmad: National College of Business Administration and Economics, Lahore, Pakistan

Abstract:

We introduce a new family of continuous distributions called the transmuted geometric-G family which extends the transmuted family pioneered by Shaw and Buckley (2007). 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. Some special models of the new family are provided. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the proposed family are illustrated by two applications to real data sets.

Page(s): 139-160

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 32, Issue: 2, Year: 2016

Keywords:

Keywords are not available for this article.

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