Self-decomposable discrete distributions and branching processes

K. Harn, van, F.W. Steutel, W. Vervaat

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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.
Original languageEnglish
Title of host publicationAnalytical methods in probability theory
Subtitle of host publicationproceedings of the conference held at Oberwolfach, Germany, June 9-14, 1980
EditorsD. Dugné, E. Lukacs, V.K. Rohatgi
Place of PublicationBerlin
PublisherSpringer
Pages60-64
Number of pages5
ISBN (Electronic)978-3-540-36785-7
ISBN (Print)978-3-540-10823-8
DOIs
Publication statusPublished - 1981

Publication series

NameLecture Notes in Mathematics
Volume861
ISSN (Print)0075-8434

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