A simple proof of Feller's characterization of the compound Poisson distributions
A classical result of \textit{W. Feller} [An introduction to probability theory and its applications. Vol. 1, 3rd ed. (1968; Zbl 0155.231)] is that every distribution that is infinitely divisible and concentrated on the non-negative integers is compound Poisson. We give a simple proof that uses some of the recursive formulas that have recently become popular among actuaries.
scientific article; zbMATH DE number 3994728