| 渐近循环马氏链的强大数定律 |
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| 引用本文： | 杨卫国,钟萍萍,梁佩佩.渐近循环马氏链的强大数定律[J].江苏大学学报(自然科学版),2011,32(1):116-119. |
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| 作者姓名： | 杨卫国 钟萍萍 梁佩佩 |
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| 作者单位： | 1. 江苏大学理学院,江苏,镇江,212013
2. 丹徒高级中学,江苏,镇江,212121 |
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| 基金项目： | 国家自然科学基金资助项目(11071104) |
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| 摘 要： | 研究了渐近循环马氏链的强极限定理.引进了渐近循环马氏链的概念,利用非齐次马氏链二元函数的极限性质,给出了渐近循环马氏链关于状态出现频率的强极限定理,结果得到了渐近循环马氏链关于状态出现频率的强大数定律,作为推论求出了循环马氏链关于状态出现频率的强大数定律.
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| 关 键 词： | 渐近循环马氏链 强极限定理 状态频率 强大数定律 遍历 |
Strong law of large numbers for asymptotic circular Markov chains |
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| Yang Weiguo,Zhong Pingping,Liang Peipei.Strong law of large numbers for asymptotic circular Markov chains[J].Journal of Jiangsu University:Natural Science Edition,2011,32(1):116-119. |
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| Authors: | Yang Weiguo Zhong Pingping Liang Peipei |
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| Institution: | Yang Weiguo1,Zhong Pingping2,Liang Peipei1(1.Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu 212013,China,2.Dantu High School,Jiangsu 212121,China) |
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| Abstract: | The strong limit theorem of asymptotic circular Markov chains is studied.The definition of asymptotic circular Markov chains is introduced.By applying the limit property for dual functions of nonhomogeneous Markov chains,the strong limit theorem on the frequencies of occurrence of states for asymptotic circular Markov chains is established.Finally,the strong law of large numbers on the frequencies of occurrence of states for asymptotic circular Markov chains is obtained.As corollaries,the strong law of larg... |
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| Keywords: | asymptotic circular Markov chains strong limit theorems state frequency strong law of large numbers strong ergodic |
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