0475977 20240103214232.820170707235959.9 85034106217 000430345201103 10.1109/ISIT.2017.8006769 4 s. P cav_un_epca*0477800978-1-5090-4097-1Proceedings of the ISIT 2017 - 2017 IEEE International Symposium on Information Theory1451-1454PiscatawayIEEE2017 urn entropy bounds cav_un_auth*0101161 Matúš František UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/MTR/matus-0475977.pdf cav_un_auth*0332303 GA16-12010S GA ČR CZ An urn containing colored balls is sampled sequentially without replacement. New lower and upper bounds on the conditional and unconditional mutual information, and multi information are presented. They estimate dependence between drawings in terms of the colored ball configuration. Asymptotics are worked out when the number of balls increases and the proportion of the balls of each color stabilizes. Inequalities by Stam and by Diaconis and Freedman are compared and improved. Distances between the sampling with and without replacement, and between the multinomial and multivariate hypergeometric distributions are discussed. cav_un_auth*0347522 IEEE International Symposium on Information Theory 2017 (ISIT 2017) 20170625 20170630 Aachen DE BA 10000 10100 10101 2018 1 PR RVO:67985556 http://hdl.handle.net/11104/0274020 S RIV/67985556:_____/17:00475977!RIV18-AV0-67985556 191975655 Doplnění UT WOS RIV/67985556:_____/17:00475977!RIV18-GA0-67985556 191965007 Doplnění UT WOS n.a. Proceedings Paper Computer Science Theory Methods|Engineering Electrical Electronic n.a. Proceedings Paper Computer Science Theory Methods|Engineering Electrical Electronic n.a. Proceedings Paper Computer Science Theory Methods|Engineering Electrical Electronic 2017 85034106217 SCOPUS PUBMED 000430345201103 WOS cav_un_epca*0477800 Proceedings of the ISIT 2017 - 2017 IEEE International Symposium on Information Theory 978-1-5090-4097-1 2157-8117 1451 1454 Piscataway IEEE 2017