A class of small deviation theorems for random fields on a uniformly bounded tree

DOI10.1186/1029-242X-2013-81zbMath1287.60088OpenAlexW2131168346WikidataQ59301872 ScholiaQ59301872MaRDI QIDQ395761

Shuai Wang, Wei-guo Yang

Publication date: 30 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-81

zbMATH Keywords

random fielduniformly bounded treedeviation theorems

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (5)

A CLASS OF SMALL DEVIATION THEOREMS FOR FUNCTIONALS OF RANDOM FIELDS ON A TREE WITH UNIFORMLY BOUNDED DEGREE IN RANDOM ENVIRONMENT ⋮ 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 ⋮ A class of small deviation theorems for Markov chains in bi-infinite random environment

Cites Work

• Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
• Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
• A class of small deviation theorems for functionals of random fields on a homogeneous tree
• Markov chains indexed by trees
• Some limit properties for Markov chains indexed by a homogeneous tree.
• The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems.
• Entropic aspects of random fields on trees

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