{
  "id": "0809.2989",
  "version": "v1",
  "published": "2008-09-17T19:50:43.000Z",
  "updated": "2008-09-17T19:50:43.000Z",
  "title": "Uniform estimates for order statistics and Orlicz functions",
  "authors": [
    "Yehoram Gordon",
    "Alexander Litvak",
    "Carsten Schütt",
    "Elisabeth Werner"
  ],
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We establish uniform estimates for order statistics of sequences of independent identically distributed random variables with log-concave distribution in terms of Orlicz norms associated with the distribution function of the random variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-17T19:50:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "62G30",
      "60G15",
      "60B11",
      "46E40",
      "46B45"
    ],
    "keywords": [
      "order statistics",
      "orlicz functions",
      "independent identically distributed random variables",
      "distribution function",
      "orlicz norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.2989G"
    }
  }
}