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Contents of PMS, Vol. 32, Fasc. 2,
pages 215 - 225
 

ON ELEMENTARY CHARACTERIZATIONS OF THE α -MODIFIED POISSON DISTRIBUTION

Katarzyna Steliga
Dominik Szynal

Abstract: In this article we give a characterization of α -modified Poisson distributions extending Chatterji’s result. Moreover, we consider the α -modified Poisson distributions of type j which are known as Delaporte distributions.

2000 AMS Mathematics Subject Classification: Primary: 60E05; Secondary: 62E10.

Keywords and phrases: Poisson distribution, α -modified Poisson distribution, α -modified binomial distribution, Delaporte distribution, Riordan α symbol.

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