Partly Divisible Probability Distributions

2005/01/12 by S. Albeverio, H. Gottschalk, J. -L. Wu
Mathematics · #math.PR #msc:42A85 #msc:60B15

paper · pdf

published as Forum Mathematicum 10, (1998), 687-697 · 11 pages

arxiv created 2005/01/12 · arxiv updated 2009/12/01

Abstract

Given a probability distribution μ a set Λ(μ) of positive real numbers is introduced, so that Λ(μ) measures the "divisibility" of μ. The basic properties of Λ(μ) are described and examples of probability distributions are given, which exhibit the existence of a continuum of situations interpolating the extreme cases of infinitely and minimally divisible probability distributions.

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