Shannon-McMillan theorem and strong law of large numbers for Markov chains indexed by generalized spherically symmetric trees

DOI10.1080/03610926.2021.1955385OpenAlexW3186126145MaRDI QIDQ6106212

Wei-Cai Peng, Unnamed Author

Publication date: 27 June 2023

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

Full work available at URL: https://doi.org/10.1080/03610926.2021.1955385

zbMATH Keywords

strong law of large numbersShannon-McMillan theoremtree-indexed Markov chaingeneralized spherically symmetric tree

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• A class of strong deviation theorems for the random fields associated with bifurcating Markov chains indexed by a binary tree
• A class of small deviation theorems for functionals of random fields on double Cayley tree in random environment
• STRONG LAW OF LARGE NUMBERS FOR MARKOV CHAINS INDEXED BY SPHERICALLY SYMMETRIC TREES
• Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree

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