{
  "id": "1105.3056",
  "version": "v1",
  "published": "2011-05-16T10:18:56.000Z",
  "updated": "2011-05-16T10:18:56.000Z",
  "title": "A Note on Rate of Convergence in Probability to Semicircular Law",
  "authors": [
    "Zhidong Bai",
    "Jiang Hu",
    "Guangming Pan",
    "Wang Zhou"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In the present paper, we prove that under the assumption of the finite sixth moment for elements of a Wigner matrix, the convergence rate of its empirical spectral distribution to the Wigner semicircular law in probability is $O(n^{-1/2})$ when the dimension $n$ tends to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-16T10:18:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15",
      "62H99"
    ],
    "keywords": [
      "probability",
      "finite sixth moment",
      "wigner semicircular law",
      "wigner matrix",
      "convergence rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.3056B"
    }
  }
}