{
  "id": "1305.2075",
  "version": "v1",
  "published": "2013-05-09T13:00:14.000Z",
  "updated": "2013-05-09T13:00:14.000Z",
  "title": "Moderate deviations for a nonparametric estimator of sample coverage",
  "authors": [
    "Fuqing Gao"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/13-AOS1091 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Statistics 2013, Vol. 41, No. 2, 641-669",
  "doi": "10.1214/13-AOS1091",
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "In this paper, we consider moderate deviations for Good's coverage estimator. The moderate deviation principle and the self-normalized moderate deviation principle for Good's coverage estimator are established. The results are also applied to the hypothesis testing problem and the confidence interval for the coverage.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-09T13:00:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonparametric estimator",
      "sample coverage",
      "goods coverage estimator",
      "self-normalized moderate deviation principle",
      "hypothesis testing problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Institute of Mathematical Statistics",
      "journal": "Ann. Stat."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2075G"
    }
  }
}