The Generalized Transmuted Poisson-G Family of Distributions: Theory, Characterizations and Applications | [Pakistan Journal of Statistics and Operation Research • 2018]

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, Persian Gulf University, Bushehr, Iran.

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

5. S. M. A. Jahanshahi: Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.

6. Indranil Ghosh: Department of Mathematics and Statistics, University of North Carolina Wilmington, USA.

Abstract:

In this work, we introduce a new class of continuous distributions called the generalized Poisson family which extends the quadratic rank transmutation map. We provide some special models for the new family. Some of its mathematical properties including Rényi and q-entropies, order statistics and characterizations are derived. The estimations of the model parameters are performed by maximum likelihood method. The Monte Carlo simulation is used for assessing the performance of the maximum likelihood estimators. The flexibility of the proposed family is illustrated by means of two applications to real data sets.

Page(s): 759-779

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 4, Year: 2018

Keywords:

Entropy , Maximum Likelihood Estimation , Order statistics , Generating Function , characterizations

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