Urns and entropies revisited

0475977 - ÚTIA 2018 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Matúš, František
Urns and entropies revisited.
Proceedings of the ISIT 2017 - 2017 IEEE International Symposium on Information Theory. Piscataway: IEEE, 2017, s. 1451-1454. ISBN 978-1-5090-4097-1. E-ISSN 2157-8117.
[IEEE International Symposium on Information Theory 2017 (ISIT 2017). Aachen (DE), 25.06.2017-30.06.2017]
Grant CEP: GA ČR(CZ) GA16-12010S
Institucionální podpora: RVO:67985556
Klíčová slova: urn * entropy * bounds
Obor OECD: Pure mathematics
http://library.utia.cas.cz/separaty/2017/MTR/matus-0475977.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0274020