{
  "id": "1304.5113",
  "version": "v1",
  "published": "2013-04-18T12:59:41.000Z",
  "updated": "2013-04-18T12:59:41.000Z",
  "title": "A note on weak convergence of the sequential multivariate empirical process under strong mixing",
  "authors": [
    "Axel Bücher"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "This article investigates weak convergence of the sequential $d$-dimensional empirical process under strong mixing. Weak convergence is established for mixing rates $\\alpha_n = O(n^{-a})$, where $a>1$, which slightly improves upon existing results in the literature that are based on mixing rates depending on the dimension $d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-18T12:59:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60G10",
      "62G30"
    ],
    "keywords": [
      "sequential multivariate empirical process",
      "weak convergence",
      "strong mixing",
      "mixing rates",
      "dimensional empirical process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5113B"
    }
  }
}