Essec\Faculty\Model\Contribution {#2216 ▼
#_index: "academ_contributions"
#_id: "8294"
#_source: array:26 [
"id" => "8294"
"slug" => "8294-on-the-capacity-functional-of-excursion-sets-of-gaussian-random-fields-on-r%c2%b2"
"yearMonth" => "2014-11"
"year" => "2014"
"title" => "On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²"
"description" => "KRATZ, M. et NAGEL, W. (2014). <i>On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²</i>. ESSEC Business School. 
KRATZ, M. et NAGEL, W. (2014). <i>On the Capacity Functional of Excursion Sets of Gaussian Random Fi "
"authors" => array:2 [
0 => array:3 [
"name" => "KRATZ Marie"
"bid" => "B00072305"
"slug" => "kratz-marie"
]
1 => array:1 [
"name" => "NAGEL W."
]
]
"ouvrage" => ""
"keywords" => []
"updatedAt" => "2020-12-17 21:00:33"
"publicationUrl" => null
"publicationInfo" => array:3 [
"pages" => null
"volume" => null
"number" => null
]
"type" => array:2 [
"fr" => "Documents de travail"
"en" => "Working Papers"
]
"support_type" => array:2 [
"fr" => "Editeur"
"en" => "Publisher"
]
"countries" => array:2 [
"fr" => null
"en" => null
]
"abstract" => array:2 [
"fr" => "When a random field (Xt, t € R²) is thresholded on a given level u, the excursion set is given by its indicator 1[u,∞)(Xt). The purpose of this work is to study functionals (as established in stochastic geometry) of these random excursion sets, as e.g. the capacity functional as well as the second moment measure of the boundary length. It extend results obtained for the one-dimensional case to the two-dimensional case, with tools borrowed from crossing theory, in particular Rice methods, and from integral and stochastic geometry. When a random field (Xt, t € R²) is thresholded on a given level u, the excursion set is given by it "
"en" => "When a random field (Xt, t € R²) is thresholded on a given level u, the excursion set is given by its indicator 1[u,∞)(Xt). The purpose of this work is to study functionals (as established in stochastic geometry) of these random excursion sets, as e.g. the capacity functional as well as the second moment measure of the boundary length. It extend results obtained for the one-dimensional case to the two-dimensional case, with tools borrowed from crossing theory, in particular Rice methods, and from integral and stochastic geometry. When a random field (Xt, t € R²) is thresholded on a given level u, the excursion set is given by it "
]
"authors_fields" => array:2 [
"fr" => "Systèmes d'Information, Data Analytics et Opérations"
"en" => "Information Systems, Data Analytics and Operations"
]
"indexedAt" => "2025-03-20T23:21:41.000Z"
"docTitle" => "On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²"
"docSurtitle" => "Working Papers"
"authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, NAGEL W."
"docDescription" => "<span class="document-property-authors">KRATZ Marie, NAGEL W.</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2014</span> <span class="document-property-authors">KRATZ Marie, NAGEL W.</span><br><span class="document-proper "
"keywordList" => ""
"docPreview" => "<b>On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²</b><br><span>2014-11 | Working Papers </span> <b>On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²</b><br><span>2014-11 "
"docType" => "research"
"publicationLink" => "<a href="#" target="_blank">On the Capacity Functional of Excursion Sets of Gaussian Random Fields on R²</a> <a href="#" target="_blank">On the Capacity Functional of Excursion Sets of Gaussian Random Fields o "
]
+lang: "en"
+"_type": "_doc"
+"_score": 9.152005
+"parent": null
}
