Equivalent properties for the bifurcating Markov chains indexed by a binary tree

DOI10.1080/03610926.2020.1742923OpenAlexW3012813561MaRDI QIDQ5079208

Ying Tang, Zhiyan Shi, Wei-guo Yang

Publication date: 25 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2020.1742923

zbMATH Keywords

binary treeequivalent propertybifurcating Markov chains

Mathematics Subject Classification ID

Random fields (60G60) Statistics (62-XX)

Related Items (1)

A CLASS OF SMALL DEVIATION THEOREMS FOR FUNCTIONALS OF RANDOM FIELDS ON A TREE WITH UNIFORMLY BOUNDED DEGREE IN RANDOM ENVIRONMENT

Cites Work

• Detection of cellular aging in a Galton-Watson process
• A law of large numbers result for a bifurcating process with an infinite moving average representation
• Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application
• Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
• Some limit results for Markov chains indexed by trees
• The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree

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