Zhiyan Shi, Weiguo Yang, Lixin Tian
Jan 4, 2012
Journal of Inequalities and Applications
In this paper, we study a convergence theorem for a finite second-order Markov chain indexed by a general infinite tree with uniformly bounded degree. Meanwhile, the strong law of large numbers (LLN) and Shannon-McMillan theorem for a finite second-order Markov chain indexed by this tree are obtained.2000 Mathematics Subject Classification: 60F15; 60J10.