Partly Divisible Probability Distributions

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

Partly Divisible Probability Distributions

Probability 2007-05-23 v1

Authors: S. Albeverio , H. Gottschalk , J. -L. Wu

Abstract

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.

Keywords

probability distribution statistical inference invariant measures

Cite

@article{arxiv.math/0501183,
  title  = {Partly Divisible Probability Distributions},
  author = {S. Albeverio and H. Gottschalk and J. -L. Wu},
  journal= {arXiv preprint arXiv:math/0501183},
  year   = {2007}
}

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11 pages

Partly Divisible Probability Distributions

Abstract

Keywords

Cite

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