{
  "id": "1407.4909",
  "version": "v1",
  "published": "2014-07-18T08:18:12.000Z",
  "updated": "2014-07-18T08:18:12.000Z",
  "title": "Certainty bands for the conditional cumulative distribution function and applications",
  "authors": [
    "Sandie Ferrigno",
    "Bernard Foliguet",
    "Myriam Maumy-Bertrand",
    "Aurélie Muller-Gueudin"
  ],
  "comment": "25 pages",
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "In this paper, we establish uniform asymptotic certainty bands for the conditional cumulative distribution function. To this aim, we give exact rate of strong uniform consistency for the local linear estimator of this function. The corollaries of this result are the asymptotic certainty bands for the quantiles and the regression function. We illustrate our results with simulations and an application on fetopathologic data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-18T08:18:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conditional cumulative distribution function",
      "application",
      "establish uniform asymptotic certainty bands",
      "strong uniform consistency",
      "local linear estimator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.4909F"
    }
  }
}