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| Tree-Indexed Markov Chains in Random Environment and Some of Their Strong Limit Properties* |
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Citation： |
Jing MAO,Zhiyan SHI,Bei WANG,Weiguo YANG,Zhongzhi WANG.Tree-Indexed Markov Chains in Random Environment and Some of Their Strong Limit Properties*[J].Chinese Annals of Mathematics B,2022,43(4):621~642 |
| Page view： 641
Net amount： 571 |
Authors： |
Jing MAO; Zhiyan SHI;Bei WANG;Weiguo YANG;Zhongzhi WANG |
Foundation： |
National Natural Science Foundation of China (Nos. 11571142,11971197, 11601191). |
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| Abstract： |
In this paper, the authors first introduce the tree-indexed Markov chains in random environment, which takes values on a general state space. Then, they prove the existence of this stochastic process, and develop a class of its equivalent forms. Based on this property, some strong limit theorems including conditional entropy density are studied for the tree-indexed Markov chains in random environment. |
Keywords： |
Random environment, Tree-indexed Markov chains, Strong limit theorem, Conditional entropy density |
Classification： |
60G60, 60J10, 60F15 |
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