{
  "id": "1308.0549",
  "version": "v1",
  "published": "2013-08-02T16:38:04.000Z",
  "updated": "2013-08-02T16:38:04.000Z",
  "title": "Asymptotic behaviour near extinction of continuous state branching processes",
  "authors": [
    "Juan Carlos Pardo",
    "Gabriel Berzunza"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note, we study the asymptotic behaviour near extinction of (sub-) critical continuous state branching processes. In particular, we establish an analogue of Khintchin's law of the iterated logarithm near extinction time for a continuous state branching process whose branching mechanism satisfies a given condition and its reflected process at its infimum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-02T16:38:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G17",
      "60G51",
      "60G80"
    ],
    "keywords": [
      "asymptotic behaviour",
      "critical continuous state branching processes",
      "khintchins law",
      "extinction time",
      "branching mechanism satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.0549P"
    }
  }
}