Strong laws of large numbers for countable Markov chains indexed by a Cayley tree. (Chinese. English summary) Zbl 1488.60061
Summary: In this paper, we study the strong laws of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by a Cayley tree, which extend and improve the corresponding results of the finite states case.
MSC:
60F15 | Strong limit theorems |
60J10 | Markov chains (discrete-time Markov processes on discrete state spaces) |