{
  "id": "0712.0206",
  "version": "v1",
  "published": "2007-12-03T02:42:07.000Z",
  "updated": "2007-12-03T02:42:07.000Z",
  "title": "The limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions",
  "authors": [
    "Makoto Maejima",
    "Ken-iti Sato"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "It is shown that the limits of the nested subclasses of five classes of infinitely divisible distributions on $R^d$, which are the Jurek class, the Goldie-Steutel-Bondesson class, the class of selfdecomposable distributions, the Thorin class and the class of generalized type $G$ distributions, are identical with the closure of the class of stable distributions. More general results are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-03T02:42:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E07"
    ],
    "keywords": [
      "infinitely divisible distributions",
      "stable distributions",
      "nested subclasses",
      "thorin class",
      "goldie-steutel-bondesson class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0206M"
    }
  }
}