Partly Divisible Probability Distributions

Albeverio, S.; Gottschalk, H.; Wu, J. -L.

Partly Divisible Probability Distributions

Authors

Albeverio, S.

Gottschalk, H.

Wu, J. -L.

Description

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.
11 pages