| 负相关随机变量序列的对数律 |
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| 引用本文： | 蒋远营,吴群英.负相关随机变量序列的对数律[J].应用数学,2009,22(2). |
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| 作者姓名： | 蒋远营 吴群英 |
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| 作者单位： | 桂林工学院数理系,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，Support Program of New Century Guangxi Ten-hundred-thousand Talents Project，广西自治区科学基金 |
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| 摘 要： | 在本文中,首先我们得到了负相关(ND)随机变量序列的指数不等式和矩不等式,然后运用这些不等式讨论了ND序列的对数律.结果,我们将独立情形下的对数律推广到ND序列情形下依然成立.
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| 关 键 词： | 负相关(ND)随机变量序列 对数律 指数不等式 矩不等式 |
Logarithm Theorems for Negatively Dependent Random Sequences |
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| JIANG Yuan-ying,WU Qun-ying.Logarithm Theorems for Negatively Dependent Random Sequences[J].Mathematica Applicata,2009,22(2). |
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| Authors: | JIANG Yuan-ying WU Qun-ying |
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| Abstract: | In this paper,first we obtain exponential inequality and moment inequality for negatively dependent random sequences.Then we apply these inequalities to discuss logarithm theorems for negatively dependent random sequences.As a result,we extend the logarithm theorems to the case of negatively dependent random sequences. |
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| Keywords: | Negatively dependent random sequence Logarithm theorem Exponential inequality Moment inequality |
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