The definition of tree-indexed Markov chains in random environment and their existence

作者：Shi, Zhiyan^*; Yang, Weiguo

来源：Communications in Statistics - Theory and Methods, 2017, 46(16): 7934-7941.

DOI：10.1080/03610926.2016.1167907

• Markov chains
• random environment
• tree-indexed

This paper gives the definition of tree-indexed Markov chains in random environment with discrete state space, and then studies some equivalent theorems of tree-indexed Markov chains in random environment. Finally, we give the equivalence on tree-indexed Markov chains in Markov environment and double Markov chains indexed by a tree.

• 出版日期2017
• 单位江苏大学