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Partly Divisible Probability Distributions

S. Albeverio·H. Gottschalk·J. -L. Wu
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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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S. Albeverio, H. Gottschalk, J. -L. Wu. 2005-01-12. Partly Divisible Probability Distributions. https://arxiv.org/abs/math/0501183

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