Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
type: Item
instance of: scholarly article
title: Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
zbMATH Open document ID: 1196.60051
author: Zhiyan Shi
author: Weiguo Yang
published in: Statistics \& Probability Letters
publication date: 2010-07-13T00:00:00Z
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 5736379
zbMATH Keywords: \(m\) rooted Cayley tree
zbMATH Keywords: \(m\)th-order nonhomogeneous Markov chain
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: Shannon-McMillan theorem
MaRDI profile type: Publication
full work available at URL: j.spl.2010.03.020
OpenAlex ID: W1993192522
cites work: The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
cites work: The Basic Theorems of Information Theory
cites work: A Mathematical Theory of Communication
cites work: Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
cites work: Markov chains indexed by trees
cites work: A Note on the Ergodic Theorem of Information Theory
cites work: The Individual Ergodic Theorem of Information Theory
cites work: A sandwich proof of the Shannon-McMillan-Breiman theorem
cites work: Automorphism invariant measures on trees
cites work: Entropic aspects of random fields on trees
cites work: An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
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: The Asymptotic Equipartition Property for&lt;tex&gt;$M$&lt;/tex&gt;th-Order Nonhomogeneous Markov Information Sources
cites work: The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree
cites work: Some limit properties of random transition probability for second-order nonhomogeneous Markov chains indexed by a tree
cites work: Q4221662
cites work: Q4220558
DOI: 10.1016/J.SPL.2010.03.020
description: scientific article; zbMATH DE number 5736379