{
  "id": "1402.1417",
  "version": "v1",
  "published": "2014-02-06T17:21:30.000Z",
  "updated": "2014-02-06T17:21:30.000Z",
  "title": "Estimates of the rate of approximation in the CLT for $L_1$-norm of density estimators",
  "authors": [
    "Andrei Yu. Zaitsev"
  ],
  "comment": "42 pages, Proceeding of the conference \"High dimensional probability, III\" (Sandjberg, 2002)",
  "journal": "High dimensional probability, III (Sandjberg, 2002), Progr. Probab., v. 55, Birkh\\\"auser, Basel, 2003, pp. 255--292",
  "categories": [
    "math.PR"
  ],
  "abstract": "We provide estimates of the rate of strong approximation and bounds for probabilities of moderate deviations in the CLT for the $L_1$-norm of the kernel density estimator without any assumptions on the density and assuming that the kernel is bounded and has bounded support.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-06T17:21:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F15",
      "60F17",
      "62G07"
    ],
    "keywords": [
      "kernel density estimator",
      "moderate deviations",
      "strong approximation",
      "probabilities",
      "assumptions"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.1417Z"
    }
  }
}