{
  "id": "0906.2334",
  "version": "v1",
  "published": "2009-06-12T13:32:38.000Z",
  "updated": "2009-06-12T13:32:38.000Z",
  "title": "The asymptotic distribution of a cluster-index for i.i.d. normal random variables",
  "authors": [
    "Yannis G. Yatracos"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/08-AAP553 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2009, Vol. 19, No. 2, 585-595",
  "doi": "10.1214/08-AAP553",
  "categories": [
    "math.PR"
  ],
  "abstract": "In a sample variance decomposition, with components functions of the sample's spacings, the largest component $\\tilde{I}_n$ is used in cluster detection. It is shown for normal samples that the asymptotic distribution of $\\tilde{I}_n$ is the Gumbel distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-12T13:32:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05"
    ],
    "keywords": [
      "normal random variables",
      "asymptotic distribution",
      "cluster-index",
      "sample variance decomposition",
      "gumbel distribution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2334Y"
    }
  }
}