English

A calculus proof of the Cram\'er-Wold theorem

Probability 2018-09-10 v2

Abstract

We present a short, elementary proof not involving Fourier transforms of the theorem of Cram\'er and Wold that a Borel probability measure is determined by its values on half-spaces.

Keywords

Cite

@article{arxiv.1607.03206,
  title  = {A calculus proof of the Cram\'er-Wold theorem},
  author = {Russell Lyons and Kevin Zumbrun},
  journal= {arXiv preprint arXiv:1607.03206},
  year   = {2018}
}

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4 pages