Some Shannon-McMillan approximation theorems for Markov chain field on the generalized Bethe tree
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Publication:535516
DOI10.1155/2011/470910zbMath1223.60057OpenAlexW1992949404WikidataQ59267125 ScholiaQ59267125MaRDI QIDQ535516
Publication date: 13 May 2011
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/224778
Random fields (60G60) Trees (05C05) Stochastic network models in operations research (90B15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (4)
Shannon-McMillan theorem and strong law of large numbers for Markov chains indexed by generalized spherically symmetric trees ⋮ STRONG LAW OF LARGE NUMBERS FOR MARKOV CHAINS INDEXED BY SPHERICALLY SYMMETRIC TREES ⋮ Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains ⋮ Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
Cites Work
- Some limit properties of random transition probability for second-order nonhomogeneous Markov chains indexed by a tree
- Some limit properties for Markov chains indexed by a homogeneous tree.
- An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
- The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree
- Entropic aspects of random fields on trees
- Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees
- SOME STRONG LIMIT THEOREMS FOR MARKOV CHAIN FIELDS ON TREES
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