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<bibitem type="J">   <ARLID>0411095</ARLID> <utime>20240903170412.0</utime><mtime>20060210235959.9</mtime>        <title language="eng" primary="1">Conditional probabilities and permutahedron</title>  <specification> <page_count>15 s.</page_count> </specification>   <serial><ARLID>cav_un_epca*0250789</ARLID><ISSN>0246-0203</ISSN><title>Annales de L Institut Henri Poincare-Probabilites Et Statistiques</title><part_num/><part_title/><volume_id>39</volume_id><volume>4 (2003)</volume><page_num>687-701</page_num><publisher><place/><name>Institute of Mathematical Statistics</name><year/></publisher></serial>    <keyword>conditional probability space</keyword>   <keyword>permutahedron</keyword>   <keyword>lattice of faces</keyword>    <author primary="1"> <ARLID>cav_un_auth*0101161</ARLID> <name1>Matúš</name1> <name2>František</name2> <institution>UTIA-B</institution> <full_dept>Department of Decision Making Theory</full_dept>  <fullinstit>Ústav teorie informace a automatizace AV ČR, v. v. i.</fullinstit> </author>     <COSATI>12A</COSATI>    <cas_special> <project> <project_id>IAA1075104</project_id> <agency>GA AV ČR</agency> <ARLID>cav_un_auth*0001799</ARLID> </project> <project> <project_id>GA201/01/1482</project_id> <agency>GA ČR</agency> <ARLID>cav_un_auth*0005723</ARLID> </project> <research> <research_id>CEZ:AV0Z1075907</research_id> </research>  <abstract language="eng" primary="1">The conditional probabilities of finite conditional probability spaces are considered for points of a smooth manifold of conditional charges. A linear diffeomorphism on the manifold is constructed so that the conditional probabilities map bijectively onto a permutahedron. The facial structure of the permutahedron corresponds to the ways conditional probability spaces decompose. A new global inversion lemma is devised.</abstract>      <RIV>BA</RIV>   <department>MTR</department>    <permalink>http://hdl.handle.net/11104/0131182</permalink>   <ID_orig>UTIA-B 20030082</ID_orig>       <arlyear>2003</arlyear>       <unknown tag="mrcbU63"> cav_un_epca*0250789 Annales de L Institut Henri Poincare-Probabilites Et Statistiques 0246-0203 Roč. 39 č. 4 2003 687 701 Institute of Mathematical Statistics </unknown> </cas_special> </bibitem>