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. DÖBLER, C., KASPRZAK, M. et PECCATI, G. (2022). Functional convergence of sequential U-processes wit "
"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. We consider sequences of U-processes based on symmetric kernels of a fixed order, that possibly depe "
"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. We consider sequences of U-processes based on symmetric kernels of a fixed order, that possibly depe "
]
"authors_fields" => array:2 [
"fr" => "Systèmes d'Information, Data Analytics et Opérations"
"en" => "Information Systems, Data Analytics and Operations"
]
"indexedAt" => "2025-01-17T15:21:42.000Z"
"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> <span class="document-property-authors">KASPRZAK Mikolaj, Döbler Christian, Peccati Giovanni</span>< "
"keywordList" => ""
"docPreview" => "<b>Functional convergence of sequential U-processes with size-dependent kernels</b><br><span>2022-02 | Journal articles </span> <b>Functional convergence of sequential U-processes with size-dependent kernels</b><br><span>2022-02 "
"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> <a href="https://doi.org//10.1214/21-AAP1688" target="_blank">Functional convergence of sequential U "
]
+lang: "en"
+"_type": "_doc"
+"_score": 8.966398
+"parent": null
}