{
  "id": "math/0607019",
  "version": "v2",
  "published": "2006-07-03T19:00:07.000Z",
  "updated": "2008-11-14T09:25:06.000Z",
  "title": "Concentration for norms of infinitely divisible vectors with independent components",
  "authors": [
    "Christian Houdré",
    "Philippe Marchal",
    "Patricia Reynaud-Bouret"
  ],
  "comment": "Published in at http://dx.doi.org/10.3150/08-BEJ131 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)",
  "journal": "Bernoulli 2008, Vol. 14, No. 4, 926-948",
  "doi": "10.3150/08-BEJ131",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We obtain dimension-free concentration inequalities for $\\ell^p$-norms, $p\\geq2$, of infinitely divisible random vectors with independent coordinates and finite exponential moments. Besides such norms, the methods and results extend to some other classes of Lipschitz functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-14T09:25:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinitely divisible vectors",
      "independent components",
      "dimension-free concentration inequalities",
      "finite exponential moments",
      "results extend"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7019H"
    }
  }
}