Essec\Faculty\Model\Contribution {#2233
#_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" => "2024-11-21T14:21:49.000Z"
"docTitle" => "The multivariate functional de Jong CLT"
"docSurtitle" => "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">Systèmes d'Information, Data Analytics et Opérations</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 | 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: "fr"
+"_type": "_doc"
+"_score": 8.690205
+"parent": null
}