{
  "id": "1505.07260",
  "version": "v1",
  "published": "2015-05-27T10:38:48.000Z",
  "updated": "2015-05-27T10:38:48.000Z",
  "title": "Bootstrap for U-Statistics: A new approach",
  "authors": [
    "Olimjon Sh. Sharipov",
    "Johannes Tewes",
    "Martin Wendler"
  ],
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic. We suggest an alternative approach of getting a bootstrap version of U-statistics, which can be described as a compromise between bootstrap and subsampling. We will show the consistency of the new method and compare its finite sample properties in a simulation study.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-27T10:38:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "u-statistics",
      "bootstrap version",
      "finite sample properties",
      "nonlinear statistics",
      "dependent data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}