Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "9894"
  #_source: array:26 [
    "id" => "9894"
    "slug" => "central-limit-theorems-for-level-functionals-of-stationary-gaussian-processes-and-fields"
    "yearMonth" => "2001-07"
    "year" => "2001"
    "title" => "Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields"
    "description" => "KRATZ, M. et LEON, J. (2001). Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields. <i>Journal of Theoretical Probability</i>, 14(3), pp. 639-672."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "LEON José"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:9 [
      0 => """
        AMS classification -\n
        asymptotic variance
        """
      1 => "central limit theorem"
      2 => "crossings"
      3 => "Gaussian fields"
      4 => "Gaussian processes"
      5 => "Hermite polynomials"
      6 => "level curve"
      7 => "maxima"
      8 => "sojourn time"
    ]
    "updatedAt" => "2020-12-17 18:37:46"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => "639-672"
      "volume" => "14"
      "number" => "3"
    ]
    "type" => array:2 [
      "fr" => "Articles"
      "en" => "Journal articles"
    ]
    "support_type" => array:2 [
      "fr" => "Revue scientifique"
      "en" => "Scientific journal"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "We introduce a general method, which combines the one developed by authors in 1997 and one derived from the work of Malevich, Cuzick and mainly Berman, to provide in an easy way a CLT for level functionals of a Gaussian process, as well as a CLT for the length of a level curve of a Gaussian field."
      "en" => "We introduce a general method, which combines the one developed by authors in 1997 and one derived from the work of Malevich, Cuzick and mainly Berman, to provide in an easy way a CLT for level functionals of a Gaussian process, as well as a CLT for the length of a level curve of a Gaussian field."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-23T07:21:43.000Z"
    "docTitle" => "Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, LEON José"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, LEON José</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2001</span>"
    "keywordList" => """
      <a href="#">AMS classification -\n
      asymptotic variance</a>, <a href="#">central limit theorem</a>, <a href="#">crossings</a>, <a href="#">Gaussian fields</a>, <a href="#">Gaussian processes</a>, <a href="#">Hermite polynomials</a>, <a href="#">level curve</a>, <a href="#">maxima</a>, <a href="#">sojourn time</a>
      """
    "docPreview" => "<b>Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields</b><br><span>2001-07 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 9.090506
  +"parent": null
}