A class of strong limit theorems for countable nonhomogeneous Markov chains on the generalized gambling system

DOI10.1007/s10587-009-0002-xzbMath1224.60055OpenAlexW2080749883MaRDI QIDQ3070104

Kang-Kang Wang

Publication date: 2 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37905

zbMATH Keywords

martingalelocal convergence theoremstochastic adapted sequence

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• A Mathematical Theory of Communication
• The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
• An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
• An extension of a theorem on gambling systems to arbitrary binary random variables
• The Individual Ergodic Theorem of Information Theory
• Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees
• A Note on the Ergodic Theorem of Information Theory
• The Basic Theorems of Information Theory
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