{
  "id": "1804.05509",
  "version": "v1",
  "published": "2018-04-16T06:03:22.000Z",
  "updated": "2018-04-16T06:03:22.000Z",
  "title": "Renewal theory for asymmetric $U$-statistics",
  "authors": [
    "Svante Janson"
  ],
  "comment": "28 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We extend a functional limit theorem for symmetric $U$-statistics [Miller and Sen, 1972] to asymmetric $U$-statistics, and use this to show some renewal theory results for asymmetric $U$-statistics. Some applications are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-16T06:03:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F17",
      "60K05"
    ],
    "keywords": [
      "statistics",
      "asymmetric",
      "functional limit theorem",
      "renewal theory results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}