{
  "id": "1912.02784",
  "version": "v1",
  "published": "2019-12-05T18:21:36.000Z",
  "updated": "2019-12-05T18:21:36.000Z",
  "title": "A nonstandard proof of de Finetti's theorem",
  "authors": [
    "Irfan Alam"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR",
    "math.LO"
  ],
  "abstract": "We give a nonstandard analytic proof of de Finetti's theorem for an exchangeable sequence of Bernoulli random variables. The theorem postulates that such a sequence is conditionally independent given the value of a uniquely distributed random parameter on the interval $[0,1]$. We use combinatorial arguments to show that this probability distribution is induced by a hyperfinite sample mean.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-05T18:21:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G09",
      "60C05",
      "28E05",
      "03H05",
      "26E35"
    ],
    "keywords": [
      "finettis theorem",
      "nonstandard proof",
      "nonstandard analytic proof",
      "bernoulli random variables",
      "hyperfinite sample mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}