An information-theoretic proof of a finite de Finetti theorem

DOI10.1214/21-ECP428zbMath1487.60071arXiv2104.03882MaRDI QIDQ2078238

Lampros Gavalakis, Ioannis Kontoyiannis

Publication date: 28 February 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.03882

zbMATH Keywords

entropymixturerelative entropymutual informationexchangeabilityde Finetti theorem

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10) Exchangeability for stochastic processes (60G09)

Related Items (1)

Information in Probability: Another Information-Theoretic Proof of a Finite de Finetti Theorem

Cites Work

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• Compound Poisson approximation via information functionals
• Entropy and the central limit theorem
• De Finetti's theorem for Markov chains
• Finite exchangeable sequences
• Finite forms of de Finetti's theorem on exchangeability
• The interplay of Bayesian and frequentist analysis
• An elementary proof of de Finetti's theorem
• Information theory and the limit-theorem for Markov chains and processes with a countable infinity of states
• Symmetric Measures on Cartesian Products
• Entropy and the Law of Small Numbers
• Solution of Shannon’s problem on the monotonicity of entropy

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