{
  "id": "math/9206201",
  "version": "v2",
  "published": "1992-06-01T15:07:07.000Z",
  "updated": "1999-12-06T05:03:49.000Z",
  "title": "The distribution of vector-valued Rademacher series",
  "authors": [
    "Stephen J. Dilworth",
    "Stephen J. Montgomery-Smith"
  ],
  "journal": "Annals Prob. 21, (1993), 2046-2052",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X=\\sum \\epsilon_n x_n$ be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable $||X||$ in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-12-06T05:03:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B09",
      "60G50"
    ],
    "keywords": [
      "vector-valued rademacher series",
      "distribution",
      "interpolation theory",
      "approximate formula",
      "k-functional"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......6201D"
    }
  }
}