Discrete analogues of self-decomposability and stability

F.W. Steutel, K. Harn, van

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Abstract

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.
Original languageEnglish
Pages (from-to)893-899
Number of pages7
JournalThe Annals of Probability
Volume7
Issue number5
DOIs
Publication statusPublished - 1979

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