| 用鞅方法证明一类强极限定理 |
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| 引用本文： | 马丽娜,陈爽. 用鞅方法证明一类强极限定理[J]. 河北工业大学学报, 2006, 35(2): 44-47 |
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| 作者姓名： | 马丽娜 陈爽 |
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| 作者单位： | 天津商学院,理学院,天津,300134;河北工业大学,理学院,天津,300130 |
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| 摘 要： | 通过构造两个非负鞅证明了一个强极限定理,然后把它应用到本文所定义的广义Bethe树上的奇偶马尔可夫链场上,从而获得了树模型上的一个强极限定理。
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| 关 键 词： | 强极限定理 鞅 广义Bethe树上奇偶马尔可夫链场 |
| 文章编号： | 1007-2373(2006)02-0044-04 |
| 修稿时间： | 2005-09-08 |
The Martingale Approach is Applied to Prove a Class of Strong Limit Theorems |
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| MA Li-na,CHEN Shuang. The Martingale Approach is Applied to Prove a Class of Strong Limit Theorems[J]. Journal of Hebei University of Technology, 2006, 35(2): 44-47 |
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| Authors: | MA Li-na CHEN Shuang |
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| Abstract: | A strong limit theorem is proved by constructing two nonnegative martingales. Then it is applied to the study of the even-odd Markov chain fields indexed by a extended Bethe tree. Finally, a strong limit theorem for tree model is gained. |
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| Keywords: | strong limit theorem martingale even-odd Markov chain fields indexed by a extended Bethe tree |
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