A class of strong limit theorems for inhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system

作者：Wang, Kangkang^*

来源：Ukrainian Mathematical Journal, 2012, 63(10): 1517-1533.

DOI：10.1007/s11253-012-0597-1

• HOMOGENEOUS TREE
• RANDOM-FIELDS

We study strong limit theorems for a sequence of bivariate functions for an inhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorems for frequencies of states, ordered couples of states, and the conditional expectation of a bivariate function on a Cayley tree.

• 出版日期2012-3
• 单位江苏科技大学