{
  "id": "2112.00066",
  "version": "v2",
  "published": "2021-11-30T19:44:44.000Z",
  "updated": "2022-09-30T06:55:51.000Z",
  "title": "Moments of the superdiffusive elephant random walk with general step distribution",
  "authors": [
    "József Kiss",
    "Bálint Vető"
  ],
  "comment": "13 pages",
  "journal": "Electron. Commun. Probab., 27 (2022), no. 44, 1-12",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the elephant random walk with general step distribution. We calculate the first four moments of the limiting distribution of the position rescaled by $n^\\alpha$ in the superdiffusive regime where $\\alpha$ is the memory parameter. This extends the results obtained by Bercu.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-09-30T06:55:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general step distribution",
      "superdiffusive elephant random walk",
      "memory parameter",
      "limiting distribution",
      "superdiffusive regime"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}