| 任意随机变量序列关于随机选择的一类强偏差定理 |
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| 引用本文： | 王康康,杨卫国.任意随机变量序列关于随机选择的一类强偏差定理[J].数学杂志,2007,27(5):573-578. |
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| 作者姓名： | 王康康 杨卫国 |
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| 作者单位： | 1. 江苏科技大学数理学院,江苏镇江,212003
2. 江苏大学理学院,江苏镇江,212003 |
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| 摘 要： | 本文通过引进极限相对对数似然比,利用限制似然比给出了样本空间的一个子集,得到了任意实值随机变量序列关于随机选择的一类用不等式表示的强极限定理.并作为推论得到了任意整值随机变量序列的m元序组的强偏差定理.
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| 关 键 词： | 强偏差定理 随机选择 似然比 赌博方法 m元序组 |
| 文章编号： | 0255-7797（2007）05-0573-06 |
| 修稿时间： | 2004-11-292005-04-08 |
A CLASS OF STRONG DEVIATION THEOREMS FOR THE SEQUENCE OF ARBITRARY INTEGER-VALUED RANDOM VARIABLES ON RANDOM SELECTION |
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| WANG Kang-kang,YANG Wei-guo.A CLASS OF STRONG DEVIATION THEOREMS FOR THE SEQUENCE OF ARBITRARY INTEGER-VALUED RANDOM VARIABLES ON RANDOM SELECTION[J].Journal of Mathematics,2007,27(5):573-578. |
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| Authors: | WANG Kang-kang YANG Wei-guo |
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| Institution: | 1. Dept. Math. , Jiangsu University of Science and Technology ,Zhenjiang 212003, China;2. Faculty of Science ,Jiangsu University ,Zhenjiang 212013, China |
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| Abstract: | In this paper,the notion of the limit relative log-likelihood ratio is introduced.A subset of the sample space is given by restricting the likelihood ratio, and on this subset a class of limit theorems, represented by inequalities, for the sequence of arbitrary integer-valued random variables on random selection is obtained. And as corollaries, the strong deviation theorem for frequency of m-tuple of the sequence of arbitrary integer-valued random variable is obtained. |
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| Keywords: | strong deviation theorem random selection gambling method the likelihood ratio m-tuple |
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