{
  "id": "1612.04354",
  "version": "v1",
  "published": "2016-12-13T20:40:32.000Z",
  "updated": "2016-12-13T20:40:32.000Z",
  "title": "Classification of urn models with multiple drawings",
  "authors": [
    "Markus Kuba"
  ],
  "comment": "13 pages. This is a preliminary version. Comments welcome!",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider multicolor urn models with multiple drawings. An urn model is called linear if the conditional expected value of the urn composition at time $n$ is a linear function of the composition at time $n-1$. For four different sampling schemes - ordered and unordered samples with or without replacement - we classify urns into linear and non-linear models. We also discuss representations of the expected value and the covariance for linear models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-13T20:40:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple drawings",
      "classification",
      "multicolor urn models",
      "linear function",
      "conditional expected value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}