{
  "id": "1105.4119",
  "version": "v2",
  "published": "2011-05-20T15:38:37.000Z",
  "updated": "2011-08-22T19:52:06.000Z",
  "title": "Berry-Esseen bounds in the entropic central limit theorem",
  "authors": [
    "Sergey G. Bobkov",
    "Gennadiy P. Chistyakov",
    "Friedrich Götze"
  ],
  "comment": "We corrected some misprints and added a discussion of relations to results involving Wasserstein distances by Rio",
  "categories": [
    "math.PR"
  ],
  "abstract": "Berry-Esseen-type bounds for total variation and relative entropy distances to the normal law are established for the sums of non-i.i.d. random variables.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-22T19:52:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropic central limit theorem",
      "berry-esseen bounds",
      "berry-esseen-type bounds",
      "total variation",
      "relative entropy distances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4119B"
    }
  }
}