Essec\Faculty\Model\Contribution {#6196`
#_index: "academ_contributions"
#_id: "9894"
#_source: array:26 [``
"id" => "9894"
"slug" => "central-limit-theorems-for-level-functionals-of-stationary-gaussian-processes-and-fields"
"yearMonth" => "2001-07"
"year" => "2001"
"title" => "Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields"
"description" => "KRATZ, M. et LEON, J. (2001). Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields. <i>Journal of Theoretical Probability</i>, 14(3), pp. 639-672."
"authors" => array:2 [``
0 => array:3 [``
"name" => "KRATZ Marie"
"bid" => "B00072305"
"slug" => "kratz-marie"
`]
1 => array:1 [`
"name" => "LEON José"
`]
]
"ouvrage" => ""
"keywords" => array:9 [`
0 => """
AMS classification -\n
asymptotic variance
"""
1 => "central limit theorem"
2 => "crossings"
3 => "Gaussian fields"
4 => "Gaussian processes"
5 => "Hermite polynomials"
6 => "level curve"
7 => "maxima"
8 => "sojourn time"
`]
"updatedAt" => "2020-12-17 18:37:46"
"publicationUrl" => null
"publicationInfo" => array:3 [`
"pages" => "639-672"
"volume" => "14"
"number" => "3"
`]
"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 introduce a general method, which combines the one developed by authors in 1997 and one derived from the work of Malevich, Cuzick and mainly Berman, to provide in an easy way a CLT for level functionals of a Gaussian process, as well as a CLT for the length of a level curve of a Gaussian field."
"en" => "We introduce a general method, which combines the one developed by authors in 1997 and one derived from the work of Malevich, Cuzick and mainly Berman, to provide in an easy way a CLT for level functionals of a Gaussian process, as well as a CLT for the length of a level curve of a Gaussian field."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2024-03-01T14:21:48.000Z"
"docTitle" => "Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields"
"docSurtitle" => "Articles"
"authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, LEON José"
"docDescription" => "<span class="document-property-authors">KRATZ Marie, LEON José</span><br><span class="document-property-authors_fields">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2001</span>"
"keywordList" => """
<a href="#">AMS classification -\n
asymptotic variance</a>, <a href="#">central limit theorem</a>, <a href="#">crossings</a>, <a href="#">Gaussian fields</a>, <a href="#">Gaussian processes</a>, <a href="#">Hermite polynomials</a>, <a href="#">level curve</a>, <a href="#">maxima</a>, <a href="#">sojourn time</a>
"""
"docPreview" => "<b>Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields</b><br><span>2001-07 | Articles </span>"
"docType" => "research"
"publicationLink" => "<a href="#" target="_blank">Central Limit Theorems for Level Functionals of Stationary Gaussian Processes and Fields</a>"
]
+lang: "fr"
+"_type": "_doc"
+"_score": 8.900366
+"parent": null
}