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<bibitem type="J">   <ARLID>0098588</ARLID> <utime>20240903170617.8</utime><mtime>20080122235959.9</mtime>         <title language="eng" primary="1">Comparison of two methods for approximation of probability distributions with prescribed marginals</title>  <specification> <page_count>28 s.</page_count> </specification>   <serial><ARLID>cav_un_epca*0297163</ARLID><ISSN>0023-5954</ISSN><title>Kybernetika</title><part_num/><part_title/><volume_id>43</volume_id><volume>5 (2007)</volume><page_num>591-618</page_num><publisher><place/><name>Ústav teorie informace a automatizace AV ČR, v. v. i.</name><year/></publisher></serial>   <title language="cze" primary="0">Porovnání dvou metod pro aproximaci pravděpodobnostních rozdělení se zadanými marginálami</title>    <keyword>marginal problem</keyword>   <keyword>relative entropy</keyword>   <keyword>dependence structure simplification</keyword>   <keyword>explicit expression approximation</keyword>   <keyword>multiinformation</keyword>   <keyword>decomposable model</keyword>   <keyword>asteroid</keyword>    <author primary="1"> <ARLID>cav_un_auth*0215712</ARLID>  <name1>Perez</name1> <name2>A.</name2> <country>CZ</country> </author> <author primary="0"> <ARLID>cav_un_auth*0101202</ARLID> <full_dept>Department of Decision Making Theory</full_dept>  <name1>Studený</name1> <name2>Milan</name2> <institution>UTIA-B</institution> <fullinstit>Ústav teorie informace a automatizace AV ČR, v. v. i.</fullinstit> </author>   <source> <url>http://library.utia.cas.cz/separaty/2007/mtr/studeny-0098588.pdf</url> </source>        <cas_special> <project> <ARLID>cav_un_auth*0216427</ARLID> <project_id>IAA100750603</project_id> <agency>GA AV ČR</agency> <country>CZ</country> </project> <project> <ARLID>cav_un_auth*0001814</ARLID> <project_id>1M0572</project_id> <agency>GA MŠk</agency> <country>CZ</country> </project> <research> <research_id>CEZ:AV0Z10750506</research_id> </research>  <abstract language="eng" primary="1">Let P be a discrete multidimensional distribution which is only partially specified by the requirement it has prescribed marginals. The paper deals with the problem of approximating P on the basis of those given marginals. Two methods for the approximation are compared, provided that the quality of an approximation is measured by relative entropy of P with respect the approximation.</abstract>   <abstract language="cze" primary="0">Nechť P je diskrétní mnohorozměrné rozdělení jež je určeno pouze částečně požadavkem že má předepsány marginály. Článek se zabývá problémem aproximace P na základě oněch předepsaných marginál. Jsou porovnány dva způsoby aproximace, za předpokladu že kvalita aproximace je měřena relativní entropií P vzhledem k aproximaci.</abstract>   <RIV>BA</RIV>    <reportyear>2008</reportyear>     <unknown tag="mrcbC52"> 4 O 4o 20231122133712.6 </unknown>  <permalink>http://hdl.handle.net/11104/0157457</permalink>          <unknown tag="mrcbT16-f">0.464</unknown> <unknown tag="mrcbT16-g">0.044</unknown> <unknown tag="mrcbT16-h">8.9</unknown> <unknown tag="mrcbT16-i">0.0021</unknown> <unknown tag="mrcbT16-j">0.359</unknown> <unknown tag="mrcbT16-k">329</unknown> <unknown tag="mrcbT16-l">68</unknown> <unknown tag="mrcbT16-q">21</unknown> <unknown tag="mrcbT16-s">1.071</unknown> <unknown tag="mrcbT16-y">14.83</unknown> <unknown tag="mrcbT16-x">0.67</unknown> <arlyear>2007</arlyear>    <unknown tag="mrcbTft">  Soubory v repozitáři: 0098588.pdf </unknown>    <unknown tag="mrcbU63"> cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 43 č. 5 2007 591 618 Ústav teorie informace a automatizace AV ČR, v. v. i. </unknown> </cas_special> </bibitem>