Essec\Faculty\Model\Contribution {#6196`
#_index: "academ_contributions"
#_id: "1906"
#_source: array:26 [``
"id" => "1906"
"slug" => "level-curves-crossings-and-applications-for-gaussian-models"
"yearMonth" => "2010-09"
"year" => "2010"
"title" => "Level Curves Crossings and Applications for Gaussian Models"
"description" => "KRATZ, M. et LEON, J.R. (2010). Level Curves Crossings and Applications for Gaussian Models. <i>Extremes</i>, 13(3), pp. 315-351."
"authors" => array:2 [``
0 => array:3 [``
"name" => "KRATZ Marie"
"bid" => "B00072305"
"slug" => "kratz-marie"
`]
1 => array:1 [`
"name" => "LEON J.R."
`]
]
"ouvrage" => ""
"keywords" => array:9 [`
0 => "Co-area formula"
1 => "Crossings"
2 => "CLT"
3 => "Gaussian fields"
4 => "Harmonic oscillator"
5 => "Hermite polynomials"
6 => "Level curve"
7 => "(Generalized) Rice formula"
8 => "Specular point"
`]
"updatedAt" => "2021-02-02 16:16:18"
"publicationUrl" => "https://link.springer.com/article/10.1007/s10687-009-0090-x"
"publicationInfo" => array:3 [`
"pages" => "315-351"
"volume" => "13"
"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" => "Representations into the Itô-Wiener Chaos and asymptotic results such as CLTs are obtained for the curve-crossings number of a stationary Gaussian process according to the form of the curve. Applications in physics and sea modelling follow, with the study of the estimator of the natural frequency of a harmonic oscillator and the study of specular points."
"en" => "Representations into the Itô-Wiener Chaos and asymptotic results such as CLTs are obtained for the curve-crossings number of a stationary Gaussian process according to the form of the curve. Applications in physics and sea modelling follow, with the study of the estimator of the natural frequency of a harmonic oscillator and the study of specular points."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2024-02-22T08:22:00.000Z"
"docTitle" => "Level Curves Crossings and Applications for Gaussian Models"
"docSurtitle" => "Articles"
"authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, LEON J.R."
"docDescription" => "<span class="document-property-authors">KRATZ Marie, LEON J.R.</span><br><span class="document-property-authors_fields">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2010</span>"
"keywordList" => "<a href="#">Co-area formula</a>, <a href="#">Crossings</a>, <a href="#">CLT</a>, <a href="#">Gaussian fields</a>, <a href="#">Harmonic oscillator</a>, <a href="#">Hermite polynomials</a>, <a href="#">Level curve</a>, <a href="#">(Generalized) Rice formula</a>, <a href="#">Specular point</a>"
"docPreview" => "<b>Level Curves Crossings and Applications for Gaussian Models</b><br><span>2010-09 | Articles </span>"
"docType" => "research"
"publicationLink" => "<a href="https://link.springer.com/article/10.1007/s10687-009-0090-x" target="_blank">Level Curves Crossings and Applications for Gaussian Models</a>"
]
+lang: "fr"
+"_type": "_doc"
+"_score": 8.89791
+"parent": null
}