Partly Divisible Probability Distributions

Details Partly Divisible Probability Distributions Partly Divisible Probability Distributions

2005-01-12

arxiv.org/abs/math/0501183v1

Forum Mathematicum 10, (1998), 687-697

Mathematics

Probability

11 pages

Scientific paper

Given a probability distribution $\mu$ a set $\Lambda (\mu)$ of positive real numbers is introduced, so that $\Lambda (\mu)$ measures the "divisibility" of $\mu$. The basic properties of $\Lambda (\mu)$ 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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