Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "15111"
  #_source: array:26 [
    "id" => "15111"
    "slug" => "functional-convergence-of-sequential-u-processes-with-size-dependent-kernels"
    "yearMonth" => "2022-02"
    "year" => "2022"
    "title" => "Functional convergence of sequential U-processes with size-dependent kernels"
    "description" => "DÖBLER, C., KASPRZAK, M. et PECCATI, G. (2022). Functional convergence of sequential U-processes with size-dependent kernels. <i>Annals of Applied Probability</i>, 32(1), pp. 551-601."
    "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" => []
    "updatedAt" => "2024-10-31 13:51:19"
    "publicationUrl" => "https://doi.org//10.1214/21-AAP1688"
    "publicationInfo" => array:3 [
      "pages" => "551-601"
      "volume" => "32"
      "number" => "1"
    ]
    "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 consider sequences of U-processes based on symmetric kernels of a fixed order, that possibly depend on the sample size. Our main contribution is the derivation of a set of analytic sufficient conditions, under which the aforementioned U-processes weakly converge to a linear combination of time-changed independent Brownian motions. In view of the underlying symmetric structure, the involved time-changes and weights remarkably depend only on the order of the U-statistic, and have consequently a universal nature."
      "en" => "We consider sequences of U-processes based on symmetric kernels of a fixed order, that possibly depend on the sample size. Our main contribution is the derivation of a set of analytic sufficient conditions, under which the aforementioned U-processes weakly converge to a linear combination of time-changed independent Brownian motions. In view of the underlying symmetric structure, the involved time-changes and weights remarkably depend only on the order of the U-statistic, and have consequently a universal nature."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-22T04:21:46.000Z"
    "docTitle" => "Functional convergence of sequential U-processes with size-dependent kernels"
    "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" => ""
    "docPreview" => "<b>Functional convergence of sequential U-processes with size-dependent kernels</b><br><span>2022-02 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org//10.1214/21-AAP1688" target="_blank">Functional convergence of sequential U-processes with size-dependent kernels</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.808249
  +"parent": null
}