{
  "id": "1110.1904",
  "version": "v1",
  "published": "2011-10-10T01:35:00.000Z",
  "updated": "2011-10-10T01:35:00.000Z",
  "title": "On estimation of analytic density in L_p",
  "authors": [
    "Natalia Stepanova"
  ],
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The problem of estimation of analytic density function using L_p minimax risk is considered. A kernel-type estimator of an unknown density function is proposed and the upper bound on its limiting local minimax risk is established. Our result is consistent with a conjecture of Guerre and Tsybakov (1998) and augments previous work in this area.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-10T01:35:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "estimation",
      "analytic density function",
      "unknown density function",
      "limiting local minimax risk",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.1904S"
    }
  }
}