{
  "id": "1207.5073",
  "version": "v1",
  "published": "2012-07-20T22:39:53.000Z",
  "updated": "2012-07-20T22:39:53.000Z",
  "title": "Exponential approximation and Stein's method of exchangeable pairs",
  "authors": [
    "Jason Fulman",
    "Nathan Ross"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "We derive a new result for exponential approximation using Stein's method of exchangeable pairs. As an application, an exponential limit theorem with error term is derived for |Tr(U)|^2, where Tr(U) denotes the trace of a matrix chosen from the Haar measure of the unitary group U(n,C).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-20T22:39:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "steins method",
      "exponential approximation",
      "exchangeable pairs",
      "exponential limit theorem",
      "unitary group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5073F"
    }
  }
}