{
  "id": "1903.07861",
  "version": "v1",
  "published": "2019-03-19T07:06:29.000Z",
  "updated": "2019-03-19T07:06:29.000Z",
  "title": "Characterisation of exchangeable sequences through empirical distributions",
  "authors": [
    "Martin Bladt"
  ],
  "comment": "7 pages, 0 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "The fact that the empirical distributions of an exchangeable sequence form a reverse-martingale is a well-know result. The converse statement is proved, under the additional assumption of stationarity. A similar reverse-martingale for separately exchangeable matrices is found and marginal characterisations are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-19T07:06:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "empirical distributions",
      "exchangeable sequence form",
      "similar reverse-martingale",
      "additional assumption",
      "converse statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}