The Generalized Transmuted Poisson-G Family of Distributions: Theory, Characterizations and Applications

Haitham Yousof, Ahmed Z Afify, Morad Alizadeh, G. G. Hamedani, S. Jahanshahi, Indranil Ghosh

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 is performed by maximum
likelihood method. The Monte Carlo simulations is used for assessing the performance of the maximum
likelihood estimators. The ‡exibility of the proposed family is illustrated by means of two applications
to real data sets.

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DOI: http://dx.doi.org/10.18187/pjsor.v14i4.2527

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Title

The Generalized Transmuted Poisson-G Family of Distributions: Theory, Characterizations and Applications

Keywords


Description

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 is performed by maximum
likelihood method. The Monte Carlo simulations is used for assessing the performance of the maximum
likelihood estimators. The ‡exibility of the proposed family is illustrated by means of two applications
to real data sets.

Date

2018-12-25

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 14 No. 4, 2018



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810