{
  "id": "1005.0483",
  "version": "v2",
  "published": "2010-05-04T10:19:36.000Z",
  "updated": "2012-03-01T15:06:59.000Z",
  "title": "Central limit theorems for the excursion set volumes of weakly dependent random fields",
  "authors": [
    "Alexander Bulinski",
    "Evgeny Spodarev",
    "Florian Timmermann"
  ],
  "comment": "Published in at http://dx.doi.org/10.3150/10-BEJ339 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)",
  "journal": "Bernoulli 2012, Vol. 18, No. 1, 100-118",
  "doi": "10.3150/10-BEJ339",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "The multivariate central limit theorems (CLT) for the volumes of excursion sets of stationary quasi-associated random fields on $\\mathbb{R}^d$ are proved. Special attention is paid to Gaussian and shot noise fields. Formulae for the covariance matrix of the limiting distribution are provided. A statistical version of the CLT is considered as well. Some numerical results are also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-01T15:06:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly dependent random fields",
      "excursion set volumes",
      "multivariate central limit theorems",
      "stationary quasi-associated random fields",
      "shot noise fields"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0483B"
    }
  }
}