{
  "id": "1705.09900",
  "version": "v1",
  "published": "2017-05-28T07:02:56.000Z",
  "updated": "2017-05-28T07:02:56.000Z",
  "title": "A bootstrap approximation to Lp_statistic of kernel density estimator in length-biased model",
  "authors": [
    "Raheleh Zamini"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This article presents a bootstrap approximation to the Lp_statistics of kernel density estimator in length-biased model. Length-biased data arise in many situations, such as survival analysis, renewal processes and physics. The article establishes a bootstrap central limit theorem for the corresponding bootstrap version of this Lp_statistic. The bootstrap is a widely used tool in statistics and, therefore, the properties of this bootstrap approximation are of great interest in applied as well as in theoretical statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-28T07:02:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kernel density estimator",
      "bootstrap approximation",
      "length-biased model",
      "bootstrap central limit theorem",
      "renewal processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}