The Poisson- Family of Distributions with Applications | [Pakistan Journal of Statistics and Operation Research • 2017]

Author(s):

1. T. H. M. Abouelmagd: Management Information System Department, Taibah University, Saudi Arabia Department of Statistics, Mathematics and Insurance Benha University, Egypt

2. M. S. Hamed: Management Information System Department, Taibah University, Saudi Arabia Department of Statistics, Mathematics and Insurance Benha University, Egypt

3. Abd El Hadi N. Ebraheim: Institute of Statistical Studies & Research Cairo University, Egypt

Abstract:

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.

Page(s): 313-326

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 2, Year: 2017

Keywords:

entropy , Generating Function , maximum likelihood , Generalized Exponential Poisson

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