| 离散随机变量序列的强偏差定理 |
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| 引用本文： | 王学武. 离散随机变量序列的强偏差定理[J]. 纯粹数学与应用数学, 2009, 25(1): 195-202 |
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| 作者姓名： | 王学武 |
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| 作者单位： | 山东工商学院数学与信息科学学院,山东,烟台,264005 |
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| 摘 要： | 利用分析方法建立了用不等式表示的用对数似然比刻划的任意相依离散随机变量序列的强偏差定理,作为推论得到了更一般的离散随机变量序列加权和的强大数定律.
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| 关 键 词： | 对数似然比 离散随机变量 强偏差定理 强大数定律 |
Strong deviation theorems of discrete random variable sequence |
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| WANG Xue-wu. Strong deviation theorems of discrete random variable sequence[J]. Pure and Applied Mathematics, 2009, 25(1): 195-202 |
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| Authors: | WANG Xue-wu |
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| Affiliation: | School of Mathematics and Information Science;Shandong Institute of Business and Technology;Yantai 264005;China |
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| Abstract: | Strong deviation theorems for discrete random variable sequence is established by using analogy approach. As corollary,we obtain generalized strong laws of large numbers for weighted sums of discrete random variable sequence. |
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| Keywords: | logarithm likelihood ratio discrete random variable strong deviation theorem strong law of large numbers |
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