SOME STRONG LIMIT THEOREMS FOR MARKOV CHAIN FIELDS ON TREES

DOI10.1017/S0269964804183083zbMath1109.60029OpenAlexW2087393000MaRDI QIDQ4659714

Wen Liu, Wei-guo Yang

Publication date: 21 March 2005

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964804183083

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (6)

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 ⋮ Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging ⋮ A class of strong limit theorems for inhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system ⋮ Some Shannon-McMillan approximation theorems for Markov chain field on the generalized Bethe tree ⋮ Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

Cites Work

• Markov random fields on an infinite tree
• Markov chains indexed by trees
• A class of strong laws for functionals of countable nonhomogeneous Markov chains
• An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
• Entropic aspects of random fields on trees

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