{
  "id": "1809.00882",
  "version": "v1",
  "published": "2018-09-04T10:41:48.000Z",
  "updated": "2018-09-04T10:41:48.000Z",
  "title": "An elementary proof of de Finetti's Theorem",
  "authors": [
    "Werner Kirsch"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "A sequence of random variables is called exchangeable if the joint distribution of the sequence is unchanged by any permutation of the indices. De Finetti's theorem characterizes all $\\{0,1\\}$-valued exchangeable sequences as a \"mixture\" of sequences of independent random variables. We present an new, elementary proof of de Finetti's Theorem. The purpose of this paper is to make this theorem accessible to a broader community through an essentially self-contained proof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-04T10:41:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G09"
    ],
    "keywords": [
      "elementary proof",
      "finettis theorem characterizes",
      "independent random variables",
      "joint distribution",
      "broader community"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}