二叉树上分支马氏链的等价性质

Equivalent Properties of Bifurcating Markov Chains Indexed by a Binary Tree

本文给出了二叉树上分支马氏链定义的离散形式,然后研究了它的两个等价性质.最后,我们指出在二叉树情况下,树指标马氏链就是一类特殊的分支马氏链.

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