A class of small deviation theorems for the random fields on an m rooted Cayley tree

作者：Shi, Zhiyan^*; Yang, Weiguo; Tian, Lixin; Peng, Weicai

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, 1.

DOI：10.1186/1029-242X-2012-1

• strong deviation theorem
• m rooted Cayley tree
• mth-order nonhomogeneous Markov chain
• Shannon-McMillan theorem

In this paper, we are to establish a class of strong deviation theorems for the random fields relative to mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree. As corollaries, we obtain the strong law of large numbers and Shannon-McMillan theorem for mth-order nonhomogeneous Markov chains indexed by that tree.

• 出版日期2012
• 单位江苏大学; 巢湖学院