Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "9806"
  #_source: array:26 [
    "id" => "9806"
    "slug" => "hermite-polynomial-expansion-for-non-smooth-functionals-of-stationary-gaussian-processes-crossings-and-extremes"
    "yearMonth" => "1997-03"
    "year" => "1997"
    "title" => "Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes"
    "description" => "KRATZ, M. et LEON, J. (1997). Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes. <i>Stochastic Processes and their Applications</i>, 66(2), pp. 237-252."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "LEON José"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:5 [
      0 => "AMS classification"
      1 => "Gaussian processes"
      2 => "Crossings"
      3 => "Extremes"
      4 => "Hermite polynomial expansion"
    ]
    "updatedAt" => "2021-07-13 14:31:20"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => "237-252"
      "volume" => "66"
      "number" => "2"
    ]
    "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 propose a new method to get the Hermite polynomial expansion of crossings of any level by a stationary Gaussian process, as well as the one of the number of maxima in an interval, under some assumptions on the spectral moments of the process."
      "en" => "We propose a new method to get the Hermite polynomial expansion of crossings of any level by a stationary Gaussian process, as well as the one of the number of maxima in an interval, under some assumptions on the spectral moments of the process."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-21T08:21:48.000Z"
    "docTitle" => "Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes"
    "docSurtitle" => "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">Systèmes d'Information, Data Analytics et Opérations</span> | <span class="document-property-year">1997</span>"
    "keywordList" => "<a href="#">AMS classification</a>, <a href="#">Gaussian processes</a>, <a href="#">Crossings</a>, <a href="#">Extremes</a>, <a href="#">Hermite polynomial expansion</a>"
    "docPreview" => "<b>Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes</b><br><span>1997-03 | Articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">Hermite polynomial expansion for non-smooth functionals of stationary Gaussian processes: crossings and extremes</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.68352
  +"parent": null
}