| 宽相依随机变量加权和的强极限定理 |
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| 引用本文： | 邱德华,胡殿中.宽相依随机变量加权和的强极限定理[J].数学研究及应用,2014,34(1):105-113. |
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| 作者姓名： | 邱德华 胡殿中 |
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| 作者单位： | 广东财经大学数学与统计学院，广东 广州 510320;国立清华大学数学系, 台湾 新竹 30013 |
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| 基金项目： | 国家自然科学基金 (Grant No.11271161). |
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| 摘 要： | Strong limit theorems are established for weighted sums of widely orthant dependent（WOD） random variables. As corollaries, the strong limit theorems for weighted sums of extended negatively orthant dependent（ENOD） random variables are also obtained, which extend and improve the related known works in the literature.
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| 关 键 词： | 相依随机变量 强极限定理 加权和 随机变量序列 |
| 收稿时间： | 2013/3/10 0:00:00 |
| 修稿时间： | 7/9/2013 12:00:00 AM |
Strong Limit Theorems for Weighted Sums of Widely Orthant Dependent Random Variables |
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| Dehua QIU and Tienchung HU.Strong Limit Theorems for Weighted Sums of Widely Orthant Dependent Random Variables[J].Journal of Mathematical Research with Applications,2014,34(1):105-113. |
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| Authors: | Dehua QIU and Tienchung HU |
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| Institution: | School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangdong 510320, P. R. China;Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan |
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| Abstract: | Strong limit theorems are established for weighted sums of widely orthant dependent (WOD) random variables. As corollaries, the strong limit theorems for weighted sums of extended negatively orthant dependent (ENOD) random variables are also obtained, which extend and improve the related known works in the literature. |
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| Keywords: | widely orthant dependent (WOD) random variables extended negatively orthant dependent (ENOD) random variables weighted sums strong limit theorem |
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