| 双无限环境中马氏链的强大数定律 |
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| 引用本文： | 郭明乐.双无限环境中马氏链的强大数定律[J].应用数学,2005,18(1):174-180. |
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| 作者姓名： | 郭明乐 |
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| 作者单位： | 安徽师范大学数学系,安徽,芜湖,241000 |
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| 基金项目： | 安徽省教育厅自然科学基金(2003KJ165) |
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| 摘 要： | 在随机环境中马氏链的研究领域 ,构造了一时齐的马氏双链 ,讨论了它的存在性及基本性质 ,最后利用马氏双链的性质 ,得到了双无限环境中马氏链的函数极限定律 ,并给出了该链的函数强大数定律成立的两个充分条件
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| 关 键 词： | 随机环境 双无限环境中马氏链 强大数定律 |
| 文章编号： | 1001-9847(2005)-0174-07 |
| 修稿时间： | 2003年11月11 |
The Strong Law of Large Numbers for Markov Chains in Double Infinite Environments |
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| GUO Ming,le.The Strong Law of Large Numbers for Markov Chains in Double Infinite Environments[J].Mathematica Applicata,2005,18(1):174-180. |
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| Authors: | GUO Ming le |
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| Abstract: | In investigate field of Markov chains in random environments,the Markov bichains is constructed.Their existence and basic properties are discussed.Using their properties,a limit law for function of Markov chain in double infinite environments is obtained.Moreover,two sufficient conditions for the strong law of large numbers for function of Markov chain in double infinite environments are established. |
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| Keywords: | Random environments Markov chains in double infinite environments Strong law of large numbers |
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