{
  "id": "1011.6165",
  "version": "v1",
  "published": "2010-11-29T09:40:46.000Z",
  "updated": "2010-11-29T09:40:46.000Z",
  "title": "Concentration of empirical distribution functions with applications to non-i.i.d. models",
  "authors": [
    "S. G. Bobkov",
    "F. Götze"
  ],
  "comment": "Published in at http://dx.doi.org/10.3150/10-BEJ254 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)",
  "journal": "Bernoulli 2010, Vol. 16, No. 4, 1385-1414",
  "doi": "10.3150/10-BEJ254",
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The concentration of empirical measures is studied for dependent data, whose joint distribution satisfies Poincar\\'{e}-type or logarithmic Sobolev inequalities. The general concentration results are then applied to spectral empirical distribution functions associated with high-dimensional random matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-29T09:40:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "applications",
      "high-dimensional random matrices",
      "spectral empirical distribution functions",
      "general concentration results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.6165B"
    }
  }
}