{
  "id": "1111.2140",
  "version": "v1",
  "published": "2011-11-09T08:59:49.000Z",
  "updated": "2011-11-09T08:59:49.000Z",
  "title": "Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes",
  "authors": [
    "Nguyen Tuan Minh"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we give an upper bound for a probabilistic distance between a Gaussian vector and a vector of U-statistics of Poisson point processes by applying Malliavin-Stein inequality on the Poisson space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-09T08:59:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H07",
      "60G55",
      "60F05"
    ],
    "keywords": [
      "poisson point processes",
      "multi-dimensional u-statistics",
      "malliavin-stein method",
      "poisson space",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2140M"
    }
  }
}