{
  "id": "1612.02407",
  "version": "v1",
  "published": "2016-12-07T20:37:11.000Z",
  "updated": "2016-12-07T20:37:11.000Z",
  "title": "Comparison of weak and strong moments for vectors with independent coordinates",
  "authors": [
    "Rafał Latała",
    "Marta Strzelecka"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "We show that for $p\\ge 1$, the $p$-th moment of suprema of linear combinations of independent centered random variables are comparable with the sum of the first moment and the weak $p$-th moment provided that $2q$-th and $q$-th integral moments of these variables are comparable for all $ q \\ge 2$. The latest condition turns out to be necessary in the i.i.d. case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-07T20:37:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "46B09"
    ],
    "keywords": [
      "strong moments",
      "independent coordinates",
      "th moment",
      "comparison",
      "independent centered random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}