@inbook{806e179ebc8242e99959ca5102dd8a31,
title = "Self-decomposable discrete distributions and branching processes",
abstract = "Self-decomposable distributions are known to be absolutely continuous. In this note analogues of the concept of self-decomposability are proposed for distributions on the set ℕ0 of nonnegative integers. To each of them corresponds an analogue of multiplication (in distribution) that preserves ℕ0-valuedness and is characterized by a composition semigroup of probability generating functions, such as occur in branching processes.",
author = "{Harn, van}, K. and F.W. Steutel and W. Vervaat",
year = "1981",
doi = "10.1007/BFb0097314",
language = "English",
isbn = "978-3-540-10823-8",
series = "Lecture Notes in Mathematics",
publisher = "Springer",
pages = "60--64",
editor = "D. Dugn{\'e} and E. Lukacs and V.K. Rohatgi",
booktitle = "Analytical methods in probability theory",
address = "Germany",
}