CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2014, 30(5) 491-496 DOI:      ISSN: 1001-4268 CN: 31-1256

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Equivalent Properties of Bifurcating Markov Chains Indexed by a Binary Tree

Dang Hui, Yang Weiguo

Department of Mathematics, Shanghai Jiao Tong University; Faculty of Science, Jiangsu University

Abstract��

In this paper, we give the discrete form of the definition
of bifurcating Markov chains indexed by a binary tree, and then study the equivalent
properties of it. Finally, we prove that tree-indexed Markov chains are bifurcating
Markov chains indexed by a binary tree in certain situation.

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