Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

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• 作者：Weicai Peng ; Jie Liu ; Yongchao Hou ; Peishu Chen…
• 关键词：nonhomogeneous Markov chain ; controlled tree ; strong law of large numbers ; AEP
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,393 KB
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T, are established. The outcomes are the generalizations of some well-known results.