Essec\Faculty\Model\Contribution {#2190`
#_index: "academ_contributions"
#_id: "1321"
#_source: array:25 [``
"id" => "1321"
"slug" => "how-fast-can-the-chord-length-distribution-decay"
"yearMonth" => "2011-07"
"year" => "2011"
"title" => "How Fast Can the Chord-Length Distribution Decay?"
"description" => "DEMICHEL, Y., ESTRADE, A., KRATZ, M. et SAMARODNITSKY, S. (2011). How Fast Can the Chord-Length Distribution Decay? <i>Advances in Applied Probability</i>, 43(2), pp. 504-523."
"authors" => array:4 [``
0 => array:3 [``
"name" => "KRATZ Marie"
"bid" => "B00072305"
"slug" => "kratz-marie"
`]
1 => array:1 [`
"name" => "DEMICHEL Y."
`]
2 => array:1 [`
"name" => "ESTRADE A."
`]
3 => array:1 [`
"name" => "SAMARODNITSKY S."
`]
]
"ouvrage" => ""
"keywords" => array:5 [`
0 => "Chord length"
1 => "Crossing"
2 => "Gaussian field"
3 => "Bi-phasic medium"
4 => "Tail of distribution"
`]
"updatedAt" => "2021-02-02 16:16:18"
"publicationUrl" => "https://hal.archives-ouvertes.fr/hal-00419202v1/document"
"publicationInfo" => array:3 [`
"pages" => "504-523"
"volume" => "43"
"number" => "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" => "The modeling of random bi-phasic, or porous, media has been, and still is, under active investigation by mathematicians, physicists or physicians. In this paper we consider a thresholded random process X as a source of the two phases. The intervals when X is in a given phase, named chords, are the subject of interest. We focus on the study of the tails of the chord-length distribution functions. In the literature, different types of the tail behavior have been reported, among them exponential-like or power-like decay. We look for the link between the dependence structure of the underlying thresholded process X and the rate of decay of the chord-length distribution. When the process X is a stationary Gaussian process, we relate the latter to the rate at which the covariance function of X decays at large lags. We show that exponential, or nearly exponential, decay of the tail of the distribution of the chord-lengths is very common, perhaps surprisingly so."
"en" => "The modeling of random bi-phasic, or porous, media has been, and still is, under active investigation by mathematicians, physicists or physicians. In this paper we consider a thresholded random process X as a source of the two phases. The intervals when X is in a given phase, named chords, are the subject of interest. We focus on the study of the tails of the chord-length distribution functions. In the literature, different types of the tail behavior have been reported, among them exponential-like or power-like decay. We look for the link between the dependence structure of the underlying thresholded process X and the rate of decay of the chord-length distribution. When the process X is a stationary Gaussian process, we relate the latter to the rate at which the covariance function of X decays at large lags. We show that exponential, or nearly exponential, decay of the tail of the distribution of the chord-lengths is very common, perhaps surprisingly so."
`]
"authors_fields" => array:2 [`
"fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
"en" => "Information Systems, Decision Sciences and Statistics"
`]
"indexedAt" => "2023-12-10T19:22:08.000Z"
"docTitle" => "How Fast Can the Chord-Length Distribution Decay?"
"docSurtitle" => "Journal articles"
"authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, DEMICHEL Y., ESTRADE A., SAMARODNITSKY S."
"docDescription" => "<span class="document-property-authors">KRATZ Marie, DEMICHEL Y., ESTRADE A., SAMARODNITSKY S.</span><br><span class="document-property-authors_fields">Information Systems, Decision Sciences and Statistics</span> | <span class="document-property-year">2011</span>"
"keywordList" => "<a href="#">Chord length</a>, <a href="#">Crossing</a>, <a href="#">Gaussian field</a>, <a href="#">Bi-phasic medium</a>, <a href="#">Tail of distribution</a>"
"docPreview" => "<b>How Fast Can the Chord-Length Distribution Decay?</b><br><span>2011-07 | Journal articles </span>"
"docType" => "research"
]
+lang: "en"
+"_type": "_doc"
+"_score": 9.289767
+"parent": null
}