| 关于任意Cayley树上马尔可夫链场的一类强大数定律 |
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| 引用本文： | 王康康.关于任意Cayley树上马尔可夫链场的一类强大数定律[J].江苏科技大学学报(社会科学版),2006,20(4):28-32. |
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| 作者姓名： | 王康康 |
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| 作者单位： | 江苏科技大学,数理学院,江苏,镇江,212003 |
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| 摘 要： | 主要研究任意Cayley树上马尔可夫链场的状态出现频率的强大数定律以及Cayley树上任意函数的一类强大数定律。作为推论得到了已有的结果,在证明中采用了一种研究强极限定理的新方法。
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| 关 键 词： | Cayley树 随机场 马尔可夫链场 强大数定理 |
| 文章编号： | 1673-4807（2006）04-0028-05 |
| 收稿时间： | 2005-12-16 |
| 修稿时间： | 2005-12-16 |
Strong Large Number Law for Markov Chains Field on Arbitrary Cayley Tree |
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| WANG Kangkang.Strong Large Number Law for Markov Chains Field on Arbitrary Cayley Tree[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2006,20(4):28-32. |
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| Authors: | WANG Kangkang |
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| Institution: | School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China |
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| Abstract: | The strong law of large numbers for the state frequency and the strong limit theorem of arbitrary function for the Markov chain field on the arbitrary Cayley tree are investigated.As corollaries,some existed results are obtained.A new method in the deduction of the strong limit theorem is adopted. |
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| Keywords: | Cayley tree random field Markov chain field strong large number law |
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