{
  "id": "1305.5990",
  "version": "v1",
  "published": "2013-05-26T06:03:39.000Z",
  "updated": "2013-05-26T06:03:39.000Z",
  "title": "Two properties of vectors of quadratic forms in Gaussian random variables",
  "authors": [
    "Vladimir I. Bogachev",
    "Egor D. Kosov",
    "Ivan Nourdin",
    "Guillaume Poly"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study distributions of random vectors whose components are second order polynomials in Gaussian random variables. Assuming that the law of such a vector is not absolutely continuous with respect to Lebesgue measure, we derive some interesting consequences. Our second result gives a characterization of limits in law for sequences of such vectors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-26T06:03:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian random variables",
      "quadratic forms",
      "properties",
      "second order polynomials",
      "study distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5990B"
    }
  }
}