Discrete Analogues of Self-Decomposability and Stability
Fred W. Steutel, K. van Harn · The Annals of Probability · 1979
Analogues are proposed for the concepts of self-decomposability and stability for distributions on the nonnegative integers. It turns out that these "discrete self-decomposable" and "discrete stable" distributions have properties that are quite similar to those of their continuous counterparts.