{
  "id": "1508.02832",
  "version": "v1",
  "published": "2015-08-12T07:22:52.000Z",
  "updated": "2015-08-12T07:22:52.000Z",
  "title": "The rate of convergence to the normal law in terms of pseudomoments",
  "authors": [
    "Yuliya Mishura",
    "Yevheniya Munchak",
    "Petro Slyusarchuk"
  ],
  "comment": "Published at http://dx.doi.org/10.15559/15-VMSTA23 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)",
  "journal": "Modern Stochastics: Theory and Applications 2015, Vol. 2, No. 2, 95-106",
  "doi": "10.15559/15-VMSTA23",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish the rate of convergence of distributions of sums of independent identically distributed random variables to the Gaussian distribution in terms of truncated pseudomoments by implementing the idea of Yu. Studnyev for getting estimates of the rate of convergence of the order higher than $n^{-1/2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-12T07:22:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal law",
      "convergence",
      "independent identically distributed random variables",
      "order higher",
      "gaussian distribution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150802832M"
    }
  }
}