<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of inserm-00285864</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-19T06:19:14+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Estimating a difference of Kullback-Leibler risks using a normalized difference of AIC</title>
            <author role="crp">
              <persName>
                <forename type="first">Daniel</forename>
                <surname>Commenges</surname>
              </persName>
              <email type="md5">103005b79db5cad1459d2c3e50e1a69d</email>
              <email type="domain">isped.u-bordeaux2.fr</email>
              <idno type="idhal" notation="numeric">838345</idno>
              <idno type="halauthorid" notation="string">129220-838345</idno>
              <affiliation ref="#struct-55677"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">A.</forename>
                <surname>Sayyareh</surname>
              </persName>
              <idno type="halauthorid">317483-0</idno>
              <affiliation ref="#struct-55677"/>
              <affiliation ref="#struct-59453"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Luc</forename>
                <surname>Letenneur</surname>
              </persName>
              <idno type="halauthorid">192875-0</idno>
              <affiliation ref="#struct-55677"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jeremie</forename>
                <surname>Guedj</surname>
              </persName>
              <idno type="idhal" notation="numeric">757106</idno>
              <idno type="halauthorid" notation="string">317484-757106</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5534-5482</idno>
              <idno type="IDREF">https://www.idref.fr/11391184X</idno>
              <affiliation ref="#struct-55677"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Avner</forename>
                <surname>Bar-Hen</surname>
              </persName>
              <email type="md5">1246ab9543acd113a107a840f3970dd6</email>
              <email type="domain">cnam.fr</email>
              <idno type="idhal" notation="string">avner-bar-hen</idno>
              <idno type="idhal" notation="numeric">182343</idno>
              <idno type="halauthorid" notation="string">2743-182343</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4449-8117</idno>
              <idno type="IDREF">https://www.idref.fr/103914579</idno>
              <affiliation ref="#struct-2088"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Evelyne</forename>
                <surname>Mouillet</surname>
              </persName>
              <email type="md5">e0c2be611c4ac9b51370e29f4218b8f6</email>
              <email type="domain">isped.u-bordeaux2.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2010-05-11 15:46:02</date>
              <date type="whenModified">2024-04-11 13:16:13</date>
              <date type="whenReleased">2008-06-09 14:12:27</date>
              <date type="whenProduced">2008</date>
              <date type="whenEndEmbargoed">2010-05-11</date>
              <ref type="file" target="https://inserm.hal.science/inserm-00285864v1/document">
                <date notBefore="2010-05-11"/>
              </ref>
              <ref type="file" n="1" target="https://inserm.hal.science/inserm-00285864v1/file/Commenges.pdf" id="file-285864-428435">
                <date notBefore="2010-05-11"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="116846">
                <persName>
                  <forename>Evelyne</forename>
                  <surname>Mouillet</surname>
                </persName>
                <email type="md5">e0c2be611c4ac9b51370e29f4218b8f6</email>
                <email type="domain">isped.u-bordeaux2.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">inserm-00285864</idno>
            <idno type="halUri">https://inserm.hal.science/inserm-00285864</idno>
            <idno type="halBibtex">commenges:inserm-00285864</idno>
            <idno type="halRefHtml">&lt;i&gt;Annals of Applied Statistics&lt;/i&gt;, 2008, 2 (3), pp.1123-1142</idno>
            <idno type="halRef">Annals of Applied Statistics, 2008, 2 (3), pp.1123-1142</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-285864-428435"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="INSERM">INSERM - Institut national de la santé et de la recherche médicale</idno>
            <idno type="stamp" n="UNIV-PARIS5" corresp="UNIV-PARIS">Université Paris Descartes (Paris 5)</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="SANTE_PUB_INSERM" corresp="INSERM">Santé Publique à l'Inserm</idno>
            <idno type="stamp" n="MAP5">MAP5</idno>
            <idno type="stamp" n="UNIV-PARIS">Université Paris Cité</idno>
            <idno type="stamp" n="UP-SCIENCES">Université Paris Cité - Faculté des Sciences</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Estimating a difference of Kullback-Leibler risks using a normalized difference of AIC</title>
                <author role="crp">
                  <persName>
                    <forename type="first">Daniel</forename>
                    <surname>Commenges</surname>
                  </persName>
                  <email type="md5">103005b79db5cad1459d2c3e50e1a69d</email>
                  <email type="domain">isped.u-bordeaux2.fr</email>
                  <idno type="idhal" notation="numeric">838345</idno>
                  <idno type="halauthorid" notation="string">129220-838345</idno>
                  <affiliation ref="#struct-55677"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">A.</forename>
                    <surname>Sayyareh</surname>
                  </persName>
                  <idno type="halauthorid">317483-0</idno>
                  <affiliation ref="#struct-55677"/>
                  <affiliation ref="#struct-59453"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Luc</forename>
                    <surname>Letenneur</surname>
                  </persName>
                  <idno type="halauthorid">192875-0</idno>
                  <affiliation ref="#struct-55677"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jeremie</forename>
                    <surname>Guedj</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">757106</idno>
                  <idno type="halauthorid" notation="string">317484-757106</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5534-5482</idno>
                  <idno type="IDREF">https://www.idref.fr/11391184X</idno>
                  <affiliation ref="#struct-55677"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Avner</forename>
                    <surname>Bar-Hen</surname>
                  </persName>
                  <email type="md5">1246ab9543acd113a107a840f3970dd6</email>
                  <email type="domain">cnam.fr</email>
                  <idno type="idhal" notation="string">avner-bar-hen</idno>
                  <idno type="idhal" notation="numeric">182343</idno>
                  <idno type="halauthorid" notation="string">2743-182343</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4449-8117</idno>
                  <idno type="IDREF">https://www.idref.fr/103914579</idno>
                  <affiliation ref="#struct-2088"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">38289</idno>
                <idno type="issn">1932-6157</idno>
                <idno type="eissn">1941-7330</idno>
                <title level="j">Annals of Applied Statistics</title>
                <imprint>
                  <publisher>Institute of Mathematical Statistics</publisher>
                  <biblScope unit="volume">2</biblScope>
                  <biblScope unit="issue">3</biblScope>
                  <biblScope unit="pp">1123-1142</biblScope>
                  <date type="datePub">2008</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Akaike criterion</term>
                <term xml:lang="en">body-mass index</term>
                <term xml:lang="en">depression</term>
                <term xml:lang="en">HIV dynamics</term>
                <term xml:lang="en">Kullback-Leibler</term>
                <term xml:lang="en">logistic regression</term>
                <term xml:lang="en">model choice</term>
              </keywords>
              <classCode scheme="halDomain" n="sdv.spee">Life Sciences [q-bio]/Santé publique et épidémiologie</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>AIC is commonly used for model selection but the precise value of AIC has no direct interpretation. We are interested in quantifying a difference of risks between two models. This may be useful for both an explanatory point of view or for prediction, where a simpler model may be preferred if it does nearly as well as a more complex model. The difference of risks can be interpreted by linking the risks with relative errors in the computation of probabilities and looking at the values obtained for simple models. A scale of values going from negligible to large is proposed. We propose a normalization of a difference of Akaike criteria for estimating the difference of expected Kullback-Leibler risks between maximum likelihood estimators of the distribution in two different models. The variability of this statistic can be estimated. Thus, an interval can be constructed which contains the true difference of expected Kullback-Leibler risks with a pre-specified probability. A simulation study shows that the method works and it is illustrated on two examples. The first is a study of the relationship between body-mass index and depression in elderly people. The second is the choice between models of HIV dynamics, where one model makes the distinction between activated CD4+ T lymphocytes and the other does not</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-55677" status="OLD">
          <orgName>Epidémiologie et Biostatistique [Bordeaux]</orgName>
          <desc>
            <address>
              <addrLine>146, rue Léo-Saignat 33076 Bordeaux</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-91134" type="direct"/>
            <relation name="U897" active="#struct-303623" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-59453" status="INCOMING">
          <orgName>University Razi</orgName>
          <desc>
            <address>
              <addrLine>Kermanshah</addrLine>
              <country key="IR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-313991" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2088" status="OLD">
          <idno type="IdRef">200850709</idno>
          <idno type="ISNI">0000000403710374</idno>
          <idno type="RNSR">200412801B</idno>
          <orgName>Mathématiques Appliquées Paris 5</orgName>
          <orgName type="acronym">MAP5 - UMR 8145</orgName>
          <date type="start">2004-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>UFR Mathématiques et Informatique, 45 rue des Saints-Pères 75270 PARIS CEDEX 06</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://w3.mi.parisdescartes.fr/map5/</ref>
          </desc>
          <listRelation>
            <relation name="UMR 8145" active="#struct-301664" type="direct"/>
            <relation name="UMR 8145" active="#struct-302352" type="direct"/>
            <relation name="UMR8145" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-91134" status="OLD">
          <orgName>Université Bordeaux Segalen - Bordeaux 2</orgName>
          <desc>
            <address>
              <addrLine>146 rue Léo Saignat - 33076 Bordeaux cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-bordeauxsegalen.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-303623" status="VALID">
          <idno type="IdRef">026388278</idno>
          <idno type="ROR">https://ror.org/02vjkv261</idno>
          <orgName>Institut National de la Santé et de la Recherche Médicale</orgName>
          <orgName type="acronym">INSERM</orgName>
          <desc>
            <address>
              <addrLine>101, rue de Tolbiac, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inserm.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-313991" status="INCOMING">
          <orgName>University Razi</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301664" status="OLD">
          <idno type="IdRef">026404788</idno>
          <idno type="ISNI">0000 0001 2188 0914 </idno>
          <idno type="ROR">https://ror.org/0220k9r37</idno>
          <orgName>Université Paris Descartes - Paris 5</orgName>
          <orgName type="acronym">UPD5</orgName>
          <date type="start">1971-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>12, rue de l'École de Médecine - 75270 Paris cedex 06</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.parisdescartes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-302352" status="VALID">
          <idno type="IdRef">232435081</idno>
          <idno type="ISNI">000000040387052X</idno>
          <idno type="ROR">https://ror.org/050jcm728</idno>
          <orgName>Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques</orgName>
          <orgName type="acronym">INSMI-CNRS</orgName>
          <date type="start">2009-10-01</date>
          <desc>
            <address>
              <addrLine>CNRS - Campus Gérard Mégie - 3 rue Michel Ange - 75794 Paris cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.insmi.cnrs.fr/fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>