Some Research on Shannon–McMillan Theorem formth-Order Nonhomogeneous Markov Information Source

DOI10.1080/07362990903259157zbMath1190.60022OpenAlexW1981621972MaRDI QIDQ3651642

Kang-Kang Wang

Publication date: 11 December 2009

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990903259157

zbMATH Keywords

strong deviation theoremShannon-McMillan theoremrelative entropy densitiesnonhomogeneous Markov information source

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
• A sandwich proof of the Shannon-McMillan-Breiman theorem
• An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
• The Individual Ergodic Theorem of Information Theory
• A Note on the Ergodic Theorem of Information Theory
• The Basic Theorems of Information Theory

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