On a Transformation for Probability Generating Functions of some Infinitely Divisible Distributions

Από το τεύχος 47 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

It is generally accepted that probability generating functions are a very strong analytic tool for establishing properties of discrete probability distributions. Moreover, transformations of probability generating functions are operations which provide valuable information concerning the structure of these functions. This paper investigates a transformation for probability generating functions of discrete infinitely divisible distributions with nonnegative support and finite mean. Finally, the paper makes use of this transformation in order to establish a characterization of the Poisson distribution.

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