{
  "id": "1305.4406",
  "version": "v1",
  "published": "2013-05-19T19:53:16.000Z",
  "updated": "2013-05-19T19:53:16.000Z",
  "title": "$L_1$-norm of combinations of products of independent random variables",
  "authors": [
    "Rafał Latała"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that $L_1$-norm of linear combinations (with scalar or vector coefficients) of products of i.i.d. nonnegative mean one random variables is comparable to $l_1$-norm of coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-19T19:53:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "42A05"
    ],
    "keywords": [
      "independent random variables",
      "linear combinations",
      "vector coefficients",
      "nonnegative mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.4406L"
    }
  }
}