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Symmetric representations of distributions over $\mathbb{R}^2$ by distributions with not more than three-point supports

Probability 2011-03-02 v1

Abstract

We construct symmetric representations of distributions over two-dimensional plane with given mean values as convex combinations of distributions with supports containing not more than three points and with the same mean values.

Keywords

Cite

@article{arxiv.1103.0174,
  title  = {Symmetric representations of distributions over $\mathbb{R}^2$ by distributions with not more than three-point supports},
  author = {Victor Domansky},
  journal= {arXiv preprint arXiv:1103.0174},
  year   = {2011}
}

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10 pages