{
  "id": "math/9309210",
  "version": "v1",
  "published": "1993-09-13T00:00:00.000Z",
  "updated": "1993-09-13T00:00:00.000Z",
  "title": "Bounds on the tail probability of U-statistics and quadratic forms",
  "authors": [
    "Victor H. de la Peña",
    "Stephen J. Montgomery-Smith"
  ],
  "comment": "5 pages. Abstract added in migration.",
  "journal": "Bull. Amer. Math. Soc. (N.S.) 31 (1994) 223-227",
  "categories": [
    "math.FA",
    "math.PR"
  ],
  "abstract": "The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear $k$-correlations of $n>k$ independent random variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-09-13T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tail probability",
      "quadratic forms",
      "u-statistics",
      "independent random variables",
      "general tail estimate"
    ],
    "tags": [
      "journal article",
      "expository article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Bull. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math......9210D"
    }
  }
}