In this paper, we first study the strong law of large
numbers for the frequencies of occurrence of random ordered couples of states
for nonhomogeneous bifurcating Markov chains indexed by a binary tree. Then
the strong law of large numbers are studied for functions of the nonhomogeneous
bifurcating Markov chains indexed by a binary tree. As a corollary, we obtain
the shannon-McMillan theorem for these Markov chains with finite state space.
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ZHANG Yan; YANG WeiGuo. The Strong Law of Large Numbers and the#br#
Shannon-McMillan Theorem for Nonhomogeneous#br#
Bifurcating Markov Chains Indexed by a Binary Tree. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2017, 33(4): 408-416.