The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree

DOI10.1080/03610926.2017.1335417zbMath1391.60052OpenAlexW2623285117MaRDI QIDQ4563524

Hui Dang

Publication date: 1 June 2018

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1335417

zbMATH Keywords

strong law of large numbersentropy ergodic theoremM-branch Cayley treenonhomogeneous M-bifurcating Markov chains

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Detection of cellular aging in a Galton-Watson process
• The strong law of large numbers and the Shannon-McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree
• A law of large numbers result for a bifurcating process with an infinite moving average representation
• Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
• Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
• A class of small deviation theorems for functionals of random fields on a homogeneous tree
• Automorphism invariant measures on trees
• Markov chains indexed by trees
• Some limit properties for Markov chains indexed by a homogeneous tree.
• Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
• Large deviations of Markov chains indexed by random trees
• The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree
• 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

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