{
  "id": "math/0212007",
  "version": "v2",
  "published": "2002-12-01T12:26:18.000Z",
  "updated": "2003-05-22T11:53:17.000Z",
  "title": "Asymptotic Normality of Nonparametric Kernel Type Deconvolution Density Estimators: crossing the Cauchy boundary",
  "authors": [
    "A. J. van Es",
    "H. -W. Uh"
  ],
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We derive asymptotic normality of kernel type deconvolution density estimators. In particular we consider deconvolution problems where the known component of the convolution has a symmetric lambda-stable distribution, 0<lambda<= 2. It turns out that the limit behavior changes if the exponent parameter lambda passes the value one, the case of Cauchy deconvolution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-05-22T11:53:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62G05",
      "62E20"
    ],
    "keywords": [
      "kernel type deconvolution density estimators",
      "nonparametric kernel type deconvolution density",
      "asymptotic normality",
      "cauchy boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12007V"
    }
  }
}