{
  "id": "0908.3440",
  "version": "v1",
  "published": "2009-08-24T13:52:39.000Z",
  "updated": "2009-08-24T13:52:39.000Z",
  "title": "Asymptotic normality of a nonparametric estimator of sample coverage",
  "authors": [
    "Cun-Hui Zhang",
    "Zhiyi Zhang"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/08-AOS658 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Statistics 2009, Vol. 37, No. 5A, 2582-2595",
  "doi": "10.1214/08-AOS658",
  "categories": [
    "math.ST",
    "stat.TH"
  ],
  "abstract": "This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237--264]. This new necessary and sufficient condition extends the validity of the asymptotic normality beyond the previously proven cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-24T13:52:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62F12",
      "62G05",
      "62G20",
      "62F15"
    ],
    "keywords": [
      "asymptotic normality",
      "nonparametric estimator",
      "sample coverage",
      "sufficient condition extends",
      "proven cases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Institute of Mathematical Statistics",
      "journal": "Ann. Stat."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.3440Z"
    }
  }
}