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Urns and entropies revisited
- 1.0475977 - ÚTIA 2018 RIV US eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR(CZ) GA16-12010S
Institutional support: RVO:67985556
Keywords : urn * entropy * bounds
OECD category: 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.
Permanent Link: http://hdl.handle.net/11104/0274020
Number of the records: 1