On the Generalized Poisson Distribution

Details On the Generalized Poisson Distribution On the Generalized Poisson Distribution

2006-06-10

arxiv.org/abs/math/0606238v1

Statistica Neerlandica, 54(3):374-376, November 2000

Mathematics

Statistics Theory

3 pages

Scientific paper

10.1111/1467-9574.00147

The Generalized Poisson Distribution (GPD) was introduced by Consul and Jain
(1973). However, as remarked by Consul (1989), "It is very difficult to prove
by direct summation that the sum of all the probabilities is unity". We give a
shorter and more elegant proof based upon an application of Euler's classic
difference lemma.

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