| 二重随机序列随机和的重对数律 |
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| 作者姓名： | 高振龙 胡晓予 |
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| 作者单位： | 中国科学院研究生院数学科学学院, 北京 100049 |
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| 基金项目： | 国家自然科学基金(10871200)资助 |
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| 摘 要： | 得到了二重随机序列{ξn,j;n,j≥1}随机和的重对数律, 其中{ξn,j;n,j≥1}是相互独立的且对任意的正整数n, {ξn,j;j≥1}有相同分布.
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| 关 键 词： | 二重随机序列 重对数律 随机变量序列的随机和 |
| 收稿时间： | 2010-06-15 |
| 修稿时间： | 2010-09-16 |
The law of the iterated logarithm for random sums of a double random sequence |
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| Authors: | GAO Zhen-Long HU Xiao-Yu |
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| Institution: | School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | We have obtained the law of the iterated logarithm for random sums of a double sequence of random variables {ξn,j; n≥1,j≥1}, where {ξn,j; n≥1,j≥1} are independent and for any fixed n, {ξn,j; j≥1} have the same distribution. |
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| Keywords: | double sequence the law of the iterated logarithm random sum of random sequence |
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