{
  "id": "0810.1994",
  "version": "v2",
  "published": "2008-10-12T09:12:23.000Z",
  "updated": "2008-11-28T12:02:14.000Z",
  "title": "Convolutions of long-tailed and subexponential distributions",
  "authors": [
    "Serguei Foss",
    "Dmitry Korshunov",
    "Stan Zachary"
  ],
  "comment": "13 pages",
  "journal": "Journal of Applied Probability, 46 (2009), 756--767",
  "categories": [
    "math.PR"
  ],
  "abstract": "Convolutions of long-tailed and subexponential distributions play a major role in the analysis of many stochastic systems. We study these convolutions, proving some important new results through a simple and coherent approach, and showing also that the standard properties of such convolutions follow as easy consequences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-28T12:02:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05",
      "60F10",
      "60G70"
    ],
    "keywords": [
      "convolutions",
      "subexponential distributions play",
      "standard properties",
      "coherent approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1994F"
    }
  }
}