{
  "id": "math/0506594",
  "version": "v1",
  "published": "2005-06-29T11:49:01.000Z",
  "updated": "2005-06-29T11:49:01.000Z",
  "title": "Concentration around the mean for maxima of empirical processes",
  "authors": [
    "T. Klein",
    "E. Rio"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117905000000044 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2005, Vol. 33, No. 3, 1060-1077",
  "doi": "10.1214/009117905000000044",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we give optimal constants in Talagrand's concentration inequalities for maxima of empirical processes associated to independent and eventually nonidentically distributed random variables. Our approach is based on the entropy method introduced by Ledoux.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-29T11:49:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60F10"
    ],
    "keywords": [
      "empirical processes",
      "talagrands concentration inequalities",
      "eventually nonidentically distributed random variables",
      "optimal constants",
      "entropy method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6594K"
    }
  }
}