<?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-01371971</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="2026-04-29T15:33:12+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">On convergence of the iterative conditional estimation</title>
            <title xml:lang="fr">Sur la convergence de l'estimation conditionnelle itérative</title>
            <author role="aut">
              <persName>
                <forename type="first">Wojciech</forename>
                <surname>Pieczynski</surname>
              </persName>
              <email type="md5">fb9503a4ddf27d9af6d553c00d0603d2</email>
              <email type="domain">it-sudparis.eu</email>
              <idno type="idhal" notation="string">wojciech-pieczynski</idno>
              <idno type="idhal" notation="numeric">1159964</idno>
              <idno type="halauthorid" notation="string">151630-1159964</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1371-2627</idno>
              <affiliation ref="#struct-442713"/>
              <affiliation ref="#struct-89901"/>
              <affiliation ref="#struct-638"/>
              <affiliation ref="#struct-441569"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Médiathèque</forename>
                <surname>Télécom SudParis &amp; Institut Mines-Télécom Business School</surname>
              </persName>
              <email type="md5">8d9568058c47dcee2bc21ac2481f44c9</email>
              <email type="domain">imtbs-tsp.eu</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-09-26 16:31:22</date>
              <date type="whenModified">2026-02-18 09:14:01</date>
              <date type="whenReleased">2016-09-26 16:31:22</date>
              <date type="whenProduced">2008-04</date>
              <ref type="externalLink" target="https://api.istex.fr/ark:/67375/6H6-D2M9QTSN-Q/fulltext.pdf?sid=hal"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="142673">
                <persName>
                  <forename>Médiathèque</forename>
                  <surname>Télécom SudParis &amp; Institut Mines-Télécom Business School</surname>
                </persName>
                <email type="md5">8d9568058c47dcee2bc21ac2481f44c9</email>
                <email type="domain">imtbs-tsp.eu</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01371971</idno>
            <idno type="halUri">https://hal.science/hal-01371971</idno>
            <idno type="halBibtex">pieczynski:hal-01371971</idno>
            <idno type="halRefHtml">&lt;i&gt;Comptes Rendus. Mathématique&lt;/i&gt;, 2008, 346 (7-8), pp.457 - 460. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.crma.2008.02.023"&gt;&amp;#x27E8;10.1016/j.crma.2008.02.023&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Comptes Rendus. Mathématique, 2008, 346 (7-8), pp.457 - 460. &amp;#x27E8;10.1016/j.crma.2008.02.023&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="TELECOM-SUDPARIS" corresp="INSTITUT-MINES-TELECOM">Télécom SudParis</idno>
            <idno type="stamp" n="INSTITUTS-TELECOM">composantes instituts telecom </idno>
            <idno type="stamp" n="INSTITUT-MINES-TELECOM">Institut Mines Telecom</idno>
            <idno type="stamp" n="IP-PARIS-DEPARTEMENT-MATHEMATIQUES">Département de Mathèmatiques</idno>
            <idno type="stamp" n="IP-PARIS-MATHEMATIQUES">IP Paris Département de Mathématiques</idno>
            <idno type="stamp" n="SAMOVAR">Services répartis, Architectures, Modélisation, Validation, Administration des Réseaux</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">On convergence of the iterative conditional estimation</title>
                <title xml:lang="fr">Sur la convergence de l'estimation conditionnelle itérative</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Wojciech</forename>
                    <surname>Pieczynski</surname>
                  </persName>
                  <email type="md5">fb9503a4ddf27d9af6d553c00d0603d2</email>
                  <email type="domain">it-sudparis.eu</email>
                  <idno type="idhal" notation="string">wojciech-pieczynski</idno>
                  <idno type="idhal" notation="numeric">1159964</idno>
                  <idno type="halauthorid" notation="string">151630-1159964</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1371-2627</idno>
                  <affiliation ref="#struct-442713"/>
                  <affiliation ref="#struct-89901"/>
                  <affiliation ref="#struct-638"/>
                  <affiliation ref="#struct-441569"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">7170</idno>
                <idno type="halJournalId" status="VALID">11990</idno>
                <idno type="issn">1631-073X</idno>
                <idno type="eissn">1778-3569</idno>
                <title level="j">Comptes Rendus. Mathématique</title>
                <imprint>
                  <publisher>Académie des sciences (Paris)</publisher>
                  <biblScope unit="volume">346</biblScope>
                  <biblScope unit="issue">7-8</biblScope>
                  <biblScope unit="pp">457 - 460</biblScope>
                  <date type="datePub">2008-04</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.crma.2008.02.023</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="fr">French</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</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>The iterative conditional estimation (ICE) is an iterative estimation method of the parameters in the case of incomplete data. Its use asks for relatively weak hypotheses and it can be performed in relatively complex situations, as in triplet Markov models. The aim of this Note is to express a general theorem of convergence of ICE, and to show its applicability in the problem of the estimation of the proportions in a mixture of multivariate distributions. </p>
            </abstract>
            <abstract xml:lang="fr">
              <p>L'estimation conditionnelle itérative (ECI) est une méthode d'estimation itérative des paramètres dans le cas des données incomplètes. Sa mise en oeuvre demande des hypothèses relativement faibles et peut être effectuée dans des situations relativement complexes, comme les champs de Markov cachés à états mixtes. Proposée il y a une quinzaine d'années, l'ECI a été appliquée avec succès aux différents problèmes de segmentation bayésienne non supervisée d'images et des signaux ; cependant, aucun résultat théorique n'est venu étayer ce bon comportement. L'objet de cette note est d'énoncer un théorème général de convergence de l'ECI, et de montrer son applicabilité dans le problème de l'estimation de la proportion dans un mélange de lois multi-variées </p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-442713" status="OLD">
          <orgName>Traitement de l'Information Pour Images et Communications</orgName>
          <orgName type="acronym">TIPIC-SAMOVAR</orgName>
          <date type="end">2023-05-31</date>
          <desc>
            <address>
              <addrLine>TELECOM Sudparis 9 rue Charles Fourier 91011 EVRY</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://samovar.telecom-sudparis.eu</ref>
          </desc>
          <listRelation>
            <relation active="#struct-638" type="direct"/>
            <relation active="#struct-352124" type="indirect"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="department" xml:id="struct-89901" status="VALID">
          <orgName>Département Communications, Images et Traitement de l'Information</orgName>
          <orgName type="acronym">TSP - CITI</orgName>
          <desc>
            <address>
              <addrLine>Télécom SudParis - 9 rue Charles Fourier - 91011 Évry cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://citi.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-352124" type="direct"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-638" status="VALID">
          <idno type="IdRef">281286515</idno>
          <idno type="ISNI">0000000403830480</idno>
          <idno type="RNSR">200319330C</idno>
          <orgName>Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux</orgName>
          <orgName type="acronym">SAMOVAR</orgName>
          <desc>
            <address>
              <addrLine>Télécom Sudparis, 9 rue Charles Fourier -91011 Evry cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://samovar.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-352124" type="direct"/>
            <relation active="#struct-302102" type="indirect"/>
            <relation name="563936" active="#struct-563936" type="indirect"/>
          </listRelation>
        </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>
        <org type="institution" xml:id="struct-352124" status="VALID">
          <idno type="IdRef">162347510</idno>
          <idno type="ISNI">0000000406406351</idno>
          <idno type="ROR">https://ror.org/05xvk4r52</idno>
          <idno type="Wikidata">Q43305</idno>
          <orgName>Télécom SudParis</orgName>
          <orgName type="acronym">TSP</orgName>
          <desc>
            <address>
              <addrLine>9 rue Charles Fourier -91011 Evry Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.telecom-sudparis.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-302102" type="direct"/>
            <relation name="563936" active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-302102" status="VALID">
          <idno type="IdRef">192427156</idno>
          <idno type="ISNI">000000012202567X</idno>
          <idno type="ROR">https://ror.org/025vp2923</idno>
          <idno type="Wikidata">Q27962533</idno>
          <orgName>Institut Mines-Télécom [Paris]</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2012-03-01</date>
          <desc>
            <address>
              <addrLine>19 Place Marguerite Perey, 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.imt.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.fr</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>