Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "777"
  #_source: array:26 [
    "id" => "777"
    "slug" => "characterization-of-a-general-class-of-tail-probability-distributions"
    "yearMonth" => "2019-11"
    "year" => "2019"
    "title" => "Characterization of a general class of tail probability distributions"
    "description" => "CADENA, M., KRATZ, M. et OMEY, E. (2019). Characterization of a general class of tail probability distributions. <i>Statistics & Probability Letters</i>, 154, pp. 108553."
    "authors" => array:3 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "CADENA M."
      ]
      2 => array:1 [
        "name" => "OMEY E."
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:5 [
      0 => "Karamata functions"
      1 => "Laplace transform"
      2 => "Probability distribution"
      3 => "Regularly varying function"
      4 => "Semi-exponential tail distribution"
    ]
    "updatedAt" => "2022-03-04 16:20:32"
    "publicationUrl" => "https://www.sciencedirect.com/science/article/abs/pii/S0167715219301907?via%3Dihub"
    "publicationInfo" => array:3 [
      "pages" => "108553"
      "volume" => "154"
      "number" => ""
    ]
    "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" => "Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terms of their asymptotic behavior at infinity, when normalized by a logarithm (Cadena et al., 2016–17). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is addressed here, studying general classes of distribution functions of the type limx→∞logU(x)H(x)=ρ≤0 for normalizing functions H such that limx→∞H(x)=∞."
      "en" => "Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terms of their asymptotic behavior at infinity, when normalized by a logarithm (Cadena et al., 2016–17). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is addressed here, studying general classes of distribution functions of the type limx→∞logU(x)H(x)=ρ≤0 for normalizing functions H such that limx→∞H(x)=∞."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-21T08:21:48.000Z"
    "docTitle" => "Characterization of a general class of tail probability distributions"
    "docSurtitle" => "Articles"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, CADENA M., OMEY E."
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, CADENA M., OMEY E.</span><br><span class="document-property-authors_fields">Systèmes d'Information, Data Analytics et Opérations</span> | <span class="document-property-year">2019</span>"
    "keywordList" => "<a href="#">Karamata functions</a>, <a href="#">Laplace transform</a>, <a href="#">Probability distribution</a>, <a href="#">Regularly varying function</a>, <a href="#">Semi-exponential tail distribution</a>"
    "docPreview" => "<b>Characterization of a general class of tail probability distributions</b><br><span>2019-11 | Articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://www.sciencedirect.com/science/article/abs/pii/S0167715219301907?via%3Dihub" target="_blank">Characterization of a general class of tail probability distributions</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 9.124419
  +"parent": null
}