Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "15112"
  #_source: array:26 [
    "id" => "15112"
    "slug" => "the-multivariate-functional-de-jong-clt"
    "yearMonth" => "2022-10"
    "year" => "2022"
    "title" => "The multivariate functional de Jong CLT"
    "description" => "DÖBLER, C., KASPRZAK, M. et PECCATI, G. (2022). The multivariate functional de Jong CLT. <i>Probability Theory and Related Fields</i>, 184(1-2), pp. 367-399."
    "authors" => array:3 [
      0 => array:3 [
        "name" => "KASPRZAK Mikolaj"
        "bid" => "B00820408"
        "slug" => "kasprzak-mikolaj"
      ]
      1 => array:1 [
        "name" => "Döbler Christian"
      ]
      2 => array:1 [
        "name" => "Peccati Giovanni"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:3 [
      0 => "U-statistics"
      1 => "Functional limit theorems"
      2 => "Contractions"
    ]
    "updatedAt" => "2024-09-09 11:39:11"
    "publicationUrl" => "https://doi.org/10.1007/s00440-022-01114-3"
    "publicationInfo" => array:3 [
      "pages" => "367-399"
      "volume" => "184"
      "number" => "1-2"
    ]
    "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 prove a multivariate functional version of de Jong’s CLT (J Multivar Anal 34(2):275–289, 1990) yielding that, given a sequence of vectors of Hoeffding-degenerate U-statistics, the corresponding empirical processes on [0, 1] weakly converge in the Skorohod space as soon as their fourth cumulants in \n
         vanish asymptotically and a certain strengthening of the Lindeberg-type condition is verified. As an application, we lift to the functional level the ‘universality of Wiener chaos’ phenomenon first observed in Nourdin et al. (Ann Probab 38(5):1947–1985, 2010).
        """
      "en" => """
        We prove a multivariate functional version of de Jong’s CLT (J Multivar Anal 34(2):275–289, 1990) yielding that, given a sequence of vectors of Hoeffding-degenerate U-statistics, the corresponding empirical processes on [0, 1] weakly converge in the Skorohod space as soon as their fourth cumulants in \n
         vanish asymptotically and a certain strengthening of the Lindeberg-type condition is verified. As an application, we lift to the functional level the ‘universality of Wiener chaos’ phenomenon first observed in Nourdin et al. (Ann Probab 38(5):1947–1985, 2010).
        """
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-22T05:21:57.000Z"
    "docTitle" => "The multivariate functional de Jong CLT"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/kasprzak-mikolaj">KASPRZAK Mikolaj</a>, Döbler Christian, Peccati Giovanni"
    "docDescription" => "<span class="document-property-authors">KASPRZAK Mikolaj, Döbler Christian, Peccati Giovanni</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2022</span>"
    "keywordList" => "<a href="#">U-statistics</a>, <a href="#">Functional limit theorems</a>, <a href="#">Contractions</a>"
    "docPreview" => "<b>The multivariate functional de Jong CLT</b><br><span>2022-10 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1007/s00440-022-01114-3" target="_blank">The multivariate functional de Jong CLT</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.706424
  +"parent": null
}