{
  "id": "1505.03768",
  "version": "v1",
  "published": "2015-05-14T15:54:02.000Z",
  "updated": "2015-05-14T15:54:02.000Z",
  "title": "Second-order asymptotics for convolution of distributions with exponential tails",
  "authors": [
    "Zuoxiang Peng",
    "Xin Liao"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, asymptotic behavior of convolution of distributions belonging to two subclasses of distributions with exponential tails are considered, respectively. The precise second-order tail asymptotics of the convolutions are derived under the condition of second-order regular variation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-14T15:54:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62E20",
      "60G50",
      "60F15",
      "60F05"
    ],
    "keywords": [
      "exponential tails",
      "second-order asymptotics",
      "distributions",
      "convolution",
      "precise second-order tail asymptotics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150503768P"
    }
  }
}