{
  "id": "1407.0896",
  "version": "v2",
  "published": "2014-07-03T12:49:55.000Z",
  "updated": "2016-04-05T17:31:34.000Z",
  "title": "Asymptotic development for the CLT in total variation distance",
  "authors": [
    "Vlad Bally",
    "Lucia Caramellino"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The aim of this paper is to study the asymptotic expansion in total variation in the Central Limit Theorem when the law of the basic random variable is locally lower-bounded by the Lebesgue measure (or equivalently, has an absolutely continuous component): we develop the error in powers of $n^{-1/2}$ and give an explicit formula for the approximating measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-03T12:49:55.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-04-05T17:31:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H07",
      "60F05"
    ],
    "keywords": [
      "total variation distance",
      "asymptotic development",
      "central limit theorem",
      "lebesgue measure",
      "asymptotic expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0896B"
    }
  }
}