{
  "id": "1711.09830",
  "version": "v1",
  "published": "2017-11-27T17:03:53.000Z",
  "updated": "2017-11-27T17:03:53.000Z",
  "title": "Random replacements in Pólya urns with infinitely many colours",
  "authors": [
    "Svante Janson"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the general version of P\\'olya urns recently studied by Bandyopadhyay and Thacker (2016+) and Mailler and Marckert (2017), with the space of colours being any Borel space $S$ and the state of the urn being a finite measure on $S$. We consider urns with random replacements, and show that these can be regarded as urns with deterministic replacements using the colour space $S\\times[0,1]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-27T17:03:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05"
    ],
    "keywords": [
      "random replacements",
      "pólya urns",
      "finite measure",
      "polya urns",
      "colour space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}