Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "1321"
  #_source: array:26 [
    "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, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-22T00:21:50.000Z"
    "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, Data Analytics and Operations</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"
    "publicationLink" => "<a href="https://hal.archives-ouvertes.fr/hal-00419202v1/document" target="_blank">How Fast Can the Chord-Length Distribution Decay?</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 9.10535
  +"parent": null
}