{
  "id": "1607.03206",
  "version": "v1",
  "published": "2016-07-12T00:30:02.000Z",
  "updated": "2016-07-12T00:30:02.000Z",
  "title": "A calculus proof of the Cramér-Wold theorem",
  "authors": [
    "Russell Lyons",
    "Kevin Zumbrun"
  ],
  "comment": "4 pages",
  "categories": [
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-12T00:30:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E10",
      "44A12",
      "53C65"
    ],
    "keywords": [
      "cramér-wold theorem",
      "calculus proof",
      "borel probability measure",
      "fourier transforms",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}