Some limit theorems for the second-order Markov chains indexed by a general infinite tree with uniform bounded degree
type: Item
instance of: scholarly article
title: Some limit theorems for the second-order Markov chains indexed by a general infinite tree with uniform bounded degree
zbMATH Open document ID: 1273.60035
DOI: 10.1186/1029-242X-2012-2
author: Zhiyan Shi
author: Lixin Tian
author: Qing Pei Zang
author: Weiguo Yang
published in: Journal of Inequalities and Applications
publication date: 2013-09-12T00:00:00Z
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 6207685
zbMATH Keywords: uniformly bounded tree
zbMATH Keywords: second-order Markov chain
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: Shannon-McMillan theorem
Wikidata QID: Q59290659
MaRDI profile type: Publication
cites work: Markov chains indexed by trees
cites work: Entropic aspects of random fields on trees
cites work: Automorphism invariant measures on trees
cites work: Strong law of large numbers for Markov chains field on a Bethe tree
cites work: Some limit properties for Markov chains indexed by a homogeneous tree.
cites work: Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
cites work: The Asymptotic Equipartition Property for&lt;tex&gt;$M$&lt;/tex&gt;th-Order Nonhomogeneous Markov Information Sources
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description: scientific article; zbMATH DE number 6207685