<?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 hal-00823451v2</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="2026-05-24T23:55:23+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">A new family of multivariate heavy-tailed distributions with variable marginal amounts of tailweights: Application to robust clustering</title>
            <author role="aut">
              <persName>
                <forename type="first">Florence</forename>
                <surname>Forbes</surname>
              </persName>
              <email type="md5">60bdfbf9919b7f5995fcbfffb65ec34f</email>
              <email type="domain">inrialpes.fr</email>
              <idno type="idhal" notation="string">florence-forbes</idno>
              <idno type="idhal" notation="numeric">16305</idno>
              <idno type="halauthorid" notation="string">998-16305</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3639-0226</idno>
              <idno type="IDREF">https://www.idref.fr/12469781X</idno>
              <affiliation ref="#struct-44946"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Darren</forename>
                <surname>Wraith</surname>
              </persName>
              <idno type="halauthorid">381824-0</idno>
              <orgName ref="#struct-300009"/>
              <affiliation ref="#struct-44946"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Florence</forename>
                <surname>Forbes</surname>
              </persName>
              <email type="md5">aa8c9e68e96151a3e4bd20ced86c1298</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2013-05-21 11:50:43</date>
            </edition>
            <edition n="v2" type="current">
              <date type="whenSubmitted">2013-07-24 10:48:01</date>
              <date type="whenModified">2025-09-27 18:48:56</date>
              <date type="whenReleased">2013-07-24 10:49:02</date>
              <date type="whenProduced">2014-11</date>
              <date type="whenEndEmbargoed">2013-07-24</date>
              <ref type="file" target="https://inria.hal.science/hal-00823451v2/document">
                <date notBefore="2013-07-24"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-00823451v2/file/Rev2-ForHAL.pdf" id="file-847660-524918">
                <date notBefore="2013-07-24"/>
              </ref>
              <ref type="annex" subtype="other" n="0" target="https://inria.hal.science/hal-00823451v2/file/Rev2-sup_materials-ForbesWraithStatCo.pdf" id="file-847660-524917">
                <date notBefore="2013-07-24"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="160528">
                <persName>
                  <forename>Florence</forename>
                  <surname>Forbes</surname>
                </persName>
                <email type="md5">aa8c9e68e96151a3e4bd20ced86c1298</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00823451</idno>
            <idno type="halUri">https://inria.hal.science/hal-00823451</idno>
            <idno type="halBibtex">forbes:hal-00823451</idno>
            <idno type="halRefHtml">&lt;i&gt;Statistics and Computing&lt;/i&gt;, 2014, 24 (6), pp.971-984. &lt;a target="_blank" href="https://dx.doi.org/10.1007/s11222-013-9414-4"&gt;&amp;#x27E8;10.1007/s11222-013-9414-4&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Statistics and Computing, 2014, 24 (6), pp.971-984. &amp;#x27E8;10.1007/s11222-013-9414-4&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-847660-524918"/><ref corresp="#file-847660-524917"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UGA">HAL Grenoble Alpes</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNIV-GRENOBLE1">Université Joseph Fourier - Grenoble I</idno>
            <idno type="stamp" n="UNIV-PMF_GRENOBLE">Université Pierre-Mendès-France - Grenoble II</idno>
            <idno type="stamp" n="INPG">Institut polytechnique de Grenoble</idno>
            <idno type="stamp" n="INRIA-RHA">INRIA Grenoble - Rhône-Alpes</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="LJK">Laboratoire Jean Kuntzmann</idno>
            <idno type="stamp" n="LJK_PS" corresp="LJK">Département Probabilités et Statistiques</idno>
            <idno type="stamp" n="LJK_PS_MISTIS" corresp="LJK_PS">MISTIS</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="UGA-TEST-QUATER">UGA-TEST-QUATER</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</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">A new family of multivariate heavy-tailed distributions with variable marginal amounts of tailweights: Application to robust clustering</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Florence</forename>
                    <surname>Forbes</surname>
                  </persName>
                  <email type="md5">60bdfbf9919b7f5995fcbfffb65ec34f</email>
                  <email type="domain">inrialpes.fr</email>
                  <idno type="idhal" notation="string">florence-forbes</idno>
                  <idno type="idhal" notation="numeric">16305</idno>
                  <idno type="halauthorid" notation="string">998-16305</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3639-0226</idno>
                  <idno type="IDREF">https://www.idref.fr/12469781X</idno>
                  <affiliation ref="#struct-44946"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Darren</forename>
                    <surname>Wraith</surname>
                  </persName>
                  <idno type="halauthorid">381824-0</idno>
                  <orgName ref="#struct-300009"/>
                  <affiliation ref="#struct-44946"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">19149</idno>
                <idno type="issn">0960-3174</idno>
                <idno type="eissn">1573-1375</idno>
                <title level="j">Statistics and Computing</title>
                <imprint>
                  <publisher>Springer Verlag (Germany)</publisher>
                  <biblScope unit="volume">24</biblScope>
                  <biblScope unit="issue">6</biblScope>
                  <biblScope unit="pp">971-984</biblScope>
                  <date type="datePub">2014-11</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/s11222-013-9414-4</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="it">Covariance matrix decomposition</term>
                <term xml:lang="it">EM algorithm</term>
                <term xml:lang="it">Gaussian scale mixture</term>
                <term xml:lang="it">Multivariate generalized t-distribution</term>
                <term xml:lang="it">Outlier detection</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-st">Mathematics [math]/Statistics [math.ST]</classCode>
              <classCode scheme="halDomain" n="stat.th">Statistics [stat]/Statistics Theory [stat.TH]</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>We propose a family of multivariate heavy-tailed distributions that allow variable marginal amounts of tailweight. The originality comes from introducing multidimensional instead of univariate scale variables for the mixture of scaled Gaussian family of distributions. In contrast to most existing approaches, the derived distributions can account for a variety of shapes and have a simple tractable form with a closed-form probability density function whatever the dimension. We examine a number of properties of these distributions and illustrate them in the particular case of Pearson type VII and ttails. For these latter cases, we provide maximum likelihood estimation of the parameters and illustrate their modelling flexibility on simulated and real data clustering example.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-44946" status="OLD">
          <idno type="RNSR">200818259S</idno>
          <orgName>Modelling and Inference of Complex and Structured Stochastic Systems</orgName>
          <orgName type="acronym">MISTIS</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>Inria Grenoble - Rhône-Alpes 655 avenue de l'Europe - Montbonnot 38334 Saint Ismier Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/mistis</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2497" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-24474" type="direct"/>
            <relation active="#struct-3886" type="indirect"/>
            <relation active="#struct-51016" type="indirect"/>
            <relation active="#struct-89889" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2497" status="VALID">
          <idno type="RNSR">199218244V</idno>
          <idno type="ROR">https://ror.org/00n8d6z93</idno>
          <orgName>Centre Inria de l'Université Grenoble Alpes</orgName>
          <desc>
            <address>
              <addrLine>Inovallée655 avenue de l'Europe38330 Montbonnot</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/grenoble</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-24474" status="OLD">
          <idno type="IdRef">184945011</idno>
          <idno type="ISNI">0000 0004 0383 676X</idno>
          <idno type="RNSR">200711891Z</idno>
          <idno type="ROR">https://ror.org/04ett5b41</idno>
          <orgName>Laboratoire Jean Kuntzmann</orgName>
          <orgName type="acronym">LJK</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment IMAG, CS 40700, F-38058 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://ljk.imag.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-3886" type="direct"/>
            <relation active="#struct-51016" type="direct"/>
            <relation active="#struct-89889" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-3886" status="OLD">
          <idno type="IdRef">02640432X</idno>
          <idno type="ROR">https://ror.org/02f7wz369</idno>
          <orgName>Université Pierre Mendès France - Grenoble 2</orgName>
          <orgName type="acronym">UPMF</orgName>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>BP 47 - 38040 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.upmf-grenoble.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-51016" status="OLD">
          <idno type="IdRef">026404796</idno>
          <idno type="ROR">https://ror.org/02aj0kh94</idno>
          <orgName>Université Joseph Fourier - Grenoble 1</orgName>
          <orgName type="acronym">UJF</orgName>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>BP 53 - 38041 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ujf-grenoble.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-89889" status="OLD">
          <idno type="IdRef">026388804</idno>
          <idno type="ROR">https://ror.org/05sbt2524</idno>
          <orgName>Institut polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
          <orgName type="acronym">Grenoble INP</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>46 avenue Félix Viallet 38031 Grenoble Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.grenoble-inp.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>