{
  "id": "0906.4202",
  "version": "v1",
  "published": "2009-06-23T09:38:12.000Z",
  "updated": "2009-06-23T09:38:12.000Z",
  "title": "A central limit theorem via differential equations",
  "authors": [
    "Taral Guldahl Seierstad"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/08-AAP557 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2009, Vol. 19, No. 2, 661-675",
  "doi": "10.1214/08-AAP557",
  "categories": [
    "math.PR"
  ],
  "abstract": "In a paper from 1995, Wormald gave general criteria for certain parameters in a family of discrete random processes to converge to the solution of a system of differential equations. Based on this method, we show that if some further conditions are satisfied, the parameters converge to a multivariate normal distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-23T09:38:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "05C80"
    ],
    "keywords": [
      "central limit theorem",
      "differential equations",
      "wormald gave general criteria",
      "discrete random processes",
      "multivariate normal distribution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4202G"
    }
  }
}