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Dr. Mohamed Sewalim El-sayed Hamed :: Publications:

Title:
The Poisson G Family of Distributions with Applications
Authors: M. S. Hamed; T. M. Hamza
Year: 2017
Keywords: Entropy, Generating Function, Generalized Exponential Poisson, Maximum Likelihood
Journal: Pakistan Journal of Statistics and Operation Research
Volume: XIII
Issue: 2
Pages: 313-326
Publisher: Pakistan Journal of Statistics and Operation Research
Local/International: International
Paper Link:
Full paper Mohamed Sewalim Elsayed Hamed_2017-The Poisson G Family of Distributions with Applications.pdf
Supplementary materials Not Available
Abstract:

We define and study a new class of continuous distributions called the Poisson G family. We present three of its several special models. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions and entropies are provided. The estimations of the model parameters is carried out using maximum likelihood method. The flexibility of the new family is illustrated by means of two applications to real data sets. We define and study a new class of continuous distributions called the Poisson G family. We present three of its several special models. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions and entropies are provided. The estimations of the model parameters is carried out using maximum likelihood method.

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