{
  "id": "1210.6336",
  "version": "v1",
  "published": "2012-10-23T19:43:59.000Z",
  "updated": "2012-10-23T19:43:59.000Z",
  "title": "A Characterization of a New Type of Strong Law of Large Numbers",
  "authors": [
    "Deli Li",
    "Yongcheng Qi",
    "Andrew Rosalsky"
  ],
  "comment": "26 pages. arXiv admin note: text overlap with arXiv:1008.4341",
  "categories": [
    "math.PR"
  ],
  "abstract": "By applying results obtained from the new versions of the classical Levy, Ottaviani, and Hoffmann-Jorgensen (1974) inequalities proved by Li and Rosalsky(2013) and by using techniques developed by Hechner and Heinkel (2010), we provide a characterization of a new type of strong law of large numbers for independent and identically distributed real-valued random variables. Versions of this strong law of large numbers are also presented in a Banach space setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-23T19:43:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15",
      "60F12",
      "60G50"
    ],
    "keywords": [
      "large numbers",
      "strong law",
      "characterization",
      "banach space",
      "identically distributed real-valued random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.6336L"
    }
  }
}