Strong law of large numbers for asymptotic circular Markov chains

被引：0

作者：

Yang W. ^{[1
]}

Gao X. ^{[1
]}

机构：

[1] Faculty of Science, Jiangsu University, Zhenjiang

来源：

Jiangsu Daxue Xuebao (Ziran Kexue Ban)/Journal of Jiangsu University (Natural Science Edition) | 2011年 / 32卷 / 05期

关键词：

Asymptotic circular Markov chains; Asymptotic equipartition property (AEP); State frequency; Strong ergodic; Strong law of large numbers;

D O I：

10.3969/j.issn.1671-7775.2011.05.024

中图分类号：

学科分类号：

摘要：

In this paper, the strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains was studied. The definition of asymptotic circular Markov chains was introduced. The limit theorem for the average of the two functions was applied, which was obtained from the convergence theorem for martingale difference sequence. By the strong law of large numbers for asympto-tic circular Markov chains on the frequencies of occurrence of states, the strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains was deduced and proved. Some known results can be generalized by the proposed law.

引用

页码：617 / 620

页数：3

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