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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 17, Fasc. 2,
pages 377 - 385
 

ON GENERALIZED POISSON DISTRIBUTIONS

Bores Lerner
Amjad Lone
Murali Rao

Abstract: In this paper, we show that, for h > 0 and c in [0,1], the measure m defined on nonnegative integers by

h(h+ nc)n-1 - nc- h m(n) =-----n!----e
defines a probability distribution (called Generalized Poisson Distribution and abbreviated as GPD). Furthermore, we show that, for c > 1, m does not define a probability measure, and finally we prove that GPD is a particular case of the compound Poisson distribution.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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