Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "8295"
  #_source: array:26 [
    "id" => "8295"
    "slug" => "on-the-dependence-between-quantiles-and-dispersion-estimators"
    "yearMonth" => "2018-12"
    "year" => "2018"
    "title" => "On The Dependence Between Quantiles And Dispersion Estimators"
    "description" => "BRÄUTIGAM, M. et KRATZ, M. (2018). <i>On The Dependence Between Quantiles And Dispersion Estimators</i>. ESSEC Business School."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "BRÄUTIGAM Marcel"
      ]
    ]
    "ouvrage" => ""
    "keywords" => []
    "updatedAt" => "2021-09-24 10:33:27"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => null
      "volume" => null
      "number" => null
    ]
    "type" => array:2 [
      "fr" => "Documents de travail"
      "en" => "Working Papers"
    ]
    "support_type" => array:2 [
      "fr" => "Editeur"
      "en" => "Publisher"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "In this study, we derive the joint asymptotic distributions of functionals of quantile estimators (the non-parametric sample quantile and the parametric location-scale quantile) and functionals of measure of dispersion estimators (the sample standard deviation, sample mean absolute deviation, sample median absolute deviation) - assuming an underlying identically and independently distributed sample. Additionally, for location-scale distributions, we show that asymptotic correlations of such functionals do not depend on the mean and variance parameter of the distribution. Further, we compare the impact of the choice of the quantile estimator (sample quantile vs. parametric location-scale quantile) in terms of speed of convergence of the asymptotic covariance and correlations respectively. As application, we show in simulations a good finite sample performance of the asymptotics. Further, we show how the theoretical dependence results can be applied to the most well-known risk measures (Value-at-Risk, Expected Shortfall, expectile). Finally, we relate the theoretical results to empirical findings in the literature of the dependence between risk measure prediction (on historical samples) and the estimated volatility."
      "en" => "In this study, we derive the joint asymptotic distributions of functionals of quantile estimators (the non-parametric sample quantile and the parametric location-scale quantile) and functionals of measure of dispersion estimators (the sample standard deviation, sample mean absolute deviation, sample median absolute deviation) - assuming an underlying identically and independently distributed sample. Additionally, for location-scale distributions, we show that asymptotic correlations of such functionals do not depend on the mean and variance parameter of the distribution. Further, we compare the impact of the choice of the quantile estimator (sample quantile vs. parametric location-scale quantile) in terms of speed of convergence of the asymptotic covariance and correlations respectively. As application, we show in simulations a good finite sample performance of the asymptotics. Further, we show how the theoretical dependence results can be applied to the most well-known risk measures (Value-at-Risk, Expected Shortfall, expectile). Finally, we relate the theoretical results to empirical findings in the literature of the dependence between risk measure prediction (on historical samples) and the estimated volatility."
    ]
    "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" => "On The Dependence Between Quantiles And Dispersion Estimators"
    "docSurtitle" => "Working Papers"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, BRÄUTIGAM Marcel"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, BRÄUTIGAM Marcel</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2018</span>"
    "keywordList" => ""
    "docPreview" => "<b>On The Dependence Between Quantiles And Dispersion Estimators</b><br><span>2018-12 | Working Papers </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">On The Dependence Between Quantiles And Dispersion Estimators</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.667679
  +"parent": null
}