{
  "id": "math/0604397",
  "version": "v2",
  "published": "2006-04-18T14:18:25.000Z",
  "updated": "2008-06-13T05:37:51.000Z",
  "title": "Local limit theorems for finite and infinite urn models",
  "authors": [
    "Hsien-Kuei Hwang",
    "Svante Janson"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/07-AOP350 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2008, Vol. 36, No. 3, 992-1022",
  "doi": "10.1214/07-AOP350",
  "categories": [
    "math.PR"
  ],
  "abstract": "Local limit theorems are derived for the number of occupied urns in general finite and infinite urn models under the minimum condition that the variance tends to infinity. Our results represent an optimal improvement over previous ones for normal approximation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-13T05:37:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60C05"
    ],
    "keywords": [
      "local limit theorems",
      "infinite urn models",
      "normal approximation",
      "optimal improvement",
      "results represent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4397H"
    }
  }
}