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We define and study a new class of continuous distributions called the Poisson-  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.


Entropy Generating Function Generalized Exponential Poisson Maximum Likelihood.

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How to Cite
Abouelmagd, T. H. M., Hamed, M. S., & Ebraheim, A. E. H. N. (2017). The Poisson-G Family of Distributions with Applications. Pakistan Journal of Statistics and Operation Research, 13(2), 313-326.