{
  "id": "1704.01094",
  "version": "v1",
  "published": "2017-04-04T16:33:57.000Z",
  "updated": "2017-04-04T16:33:57.000Z",
  "title": "Stein's method for nonconventional sums",
  "authors": [
    "Yeor Hafouta"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain almost optimal convergence rate in the central limit theorem for \"nonconevntional\" sums of the form $S_N=N^{-\\frac12}\\sum_{n=1}^N (F(\\xi_n,\\xi_{2n},...,\\xi_{\\ell n})-\\bar F)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-04T16:33:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonconventional sums",
      "steins method",
      "optimal convergence rate",
      "central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}