Essec\Faculty\Model\Contribution {#6196
  #_index: "academ_contributions"
  #_id: "10276"
  #_source: array:26 [
    "id" => "10276"
    "slug" => "density-and-hazard-rate-estimation-for-censored-and-%ce%b1-mixing-data-using-gamma-kernels"
    "yearMonth" => "2008-10"
    "year" => "2008"
    "title" => "Density and hazard rate estimation for censored and α-mixing data using gamma kernels"
    "description" => "BOUEZMARNI, T. et ROMBOUTS, J. (2008). Density and hazard rate estimation for censored and α-mixing data using gamma kernels. <i>Journal of Nonparametric Statistics</i>, 20(7), pp. 627-643."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "ROMBOUTS Jeroen"
        "bid" => "B00469813"
        "slug" => "rombouts-jeroen"
      ]
      1 => array:1 [
        "name" => "BOUEZMARNI Taoufik"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:5 [
      0 => "gamma kernel"
      1 => "Kaplan Meier"
      2 => "density and hazard function"
      3 => "mean integrated squared errorconsistency"
      4 => "asymptotic normality"
    ]
    "updatedAt" => "2022-11-28 10:59:15"
    "publicationUrl" => "https://doi.org/10.1080/10485250802290670"
    "publicationInfo" => array:3 [
      "pages" => "627-643"
      "volume" => "20"
      "number" => "7"
    ]
    "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" => "In this paper, we consider the non-parametric estimation for a density and hazard rate function for right censored α-mixing survival time data using kernel smoothing techniques. As survival times are positive with potentially high concentration at zero, one has to take into account the bias problems when the functions are estimated in the boundary region. In this paper, gamma kernel estimators of the density and the hazard rate function are proposed. The estimators use adaptive weights depending on the point in which we estimate the function, and they are robust to the boundary bias problem. For both estimators, the mean-squared error properties, including the rate of convergence, the almost sure consistency, and the asymptotic normality, are investigated. The results of a simulation study demonstrate the performance of the proposed estimators."
      "en" => "In this paper, we consider the non-parametric estimation for a density and hazard rate function for right censored α-mixing survival time data using kernel smoothing techniques. As survival times are positive with potentially high concentration at zero, one has to take into account the bias problems when the functions are estimated in the boundary region. In this paper, gamma kernel estimators of the density and the hazard rate function are proposed. The estimators use adaptive weights depending on the point in which we estimate the function, and they are robust to the boundary bias problem. For both estimators, the mean-squared error properties, including the rate of convergence, the almost sure consistency, and the asymptotic normality, are investigated. The results of a simulation study demonstrate the performance of the proposed estimators."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
      "en" => "Information Systems, Decision Sciences and Statistics"
    ]
    "indexedAt" => "2024-04-19T21:22:00.000Z"
    "docTitle" => "Density and hazard rate estimation for censored and α-mixing data using gamma kernels"
    "docSurtitle" => "Articles"
    "authorNames" => "<a href="/cv/rombouts-jeroen">ROMBOUTS Jeroen</a>, BOUEZMARNI Taoufik"
    "docDescription" => "<span class="document-property-authors">ROMBOUTS Jeroen, BOUEZMARNI Taoufik</span><br><span class="document-property-authors_fields">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2008</span>"
    "keywordList" => "<a href="#">gamma kernel</a>, <a href="#">Kaplan Meier</a>, <a href="#">density and hazard function</a>, <a href="#">mean integrated squared errorconsistency</a>, <a href="#">asymptotic normality</a>"
    "docPreview" => "<b>Density and hazard rate estimation for censored and α-mixing data using gamma kernels</b><br><span>2008-10 | Articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1080/10485250802290670" target="_blank">Density and hazard rate estimation for censored and α-mixing data using gamma kernels</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 9.126814
  +"parent": null
}