{
  "id": "0711.4491",
  "version": "v1",
  "published": "2007-11-28T13:11:57.000Z",
  "updated": "2007-11-28T13:11:57.000Z",
  "title": "Lower limits for distributions of randomly stopped sums",
  "authors": [
    "Denis Denisov",
    "Serguei Foss",
    "Dmitry Korshunov"
  ],
  "comment": "This research is a continuation of arXiv:math/0510273 and arXiv:math/0701920. 11 pages",
  "journal": "Theory of Probability and Its Applications, 52 (2007), 794--802",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study lower limits for the ratio $\\frac{\\bar{F^{*\\tau}}(x)}{\\bar F(x)}$ of tail distributions where $ F^{*\\tau}$ is a distribution of a sum of a random size $\\tau$ of i.i.d. random variables having a common distribution $F$, and a random variable $\\tau$ does not depend on summands.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-28T13:11:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05",
      "60F10"
    ],
    "keywords": [
      "randomly stopped sums",
      "study lower limits",
      "tail distributions",
      "common distribution",
      "random variable"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.4491D"
    }
  }
}