{
  "id": "1111.3162",
  "version": "v4",
  "published": "2011-11-14T10:05:04.000Z",
  "updated": "2014-07-04T12:20:09.000Z",
  "title": "Discretized normal approximation by Stein's method",
  "authors": [
    "Xiao Fang"
  ],
  "comment": "Published in at http://dx.doi.org/10.3150/13-BEJ527 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)",
  "journal": "Bernoulli 2014, Vol. 20, No. 3, 1404-1431",
  "doi": "10.3150/13-BEJ527",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a general theorem to bound the total variation distance between the distribution of an integer valued random variable of interest and an appropriate discretized normal distribution. We apply the theorem to 2-runs in a sequence of i.i.d. Bernoulli random variables, the number of vertices with a given degree in the Erd\\\"{o}s-R\\'{e}nyi random graph, and the uniform multinomial occupancy model.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-07-04T12:20:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discretized normal approximation",
      "steins method",
      "uniform multinomial occupancy model",
      "bernoulli random variables",
      "total variation distance"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3162F"
    }
  }
}