| 随机变量序列的大数定律及常返性定理 |
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| 引用本文： | 何江宏,胡舒合.随机变量序列的大数定律及常返性定理[J].大学数学,2007,23(4):76-79. |
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| 作者姓名： | 何江宏 胡舒合 |
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| 作者单位： | 安徽大学,数学与计算科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目(10571001)，安徽大学创新团队基金项目 |
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| 摘 要： | 对一类有界独立或相依的随机变量序列|ξn|,获得了它的伯努利大数定律、波雷尔强大数定律及常返性定理.作为应用,得出了Loève专著1]中的推广的伯努利大数定律、常返性定理,改进了1]中的推广的波雷尔强大数定律.
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| 关 键 词： | 贝努里大数定律 波雷尔强大数定律 常返性定理 |
| 文章编号： | 1672-1454（2007）04-0076-04 |
| 修稿时间： | 2005-11-17 |
Law of Large Numbers and Recurrence Theorem for Random Variable Sequence |
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| HE Jiang-hong,HU Shu-he.Law of Large Numbers and Recurrence Theorem for Random Variable Sequence[J].College Mathematics,2007,23(4):76-79. |
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| Authors: | HE Jiang-hong HU Shu-he |
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| Institution: | School of Mathematics and Computation Science, Anhui University, Hefei 230039, China |
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| Abstract: | We obtain Bernoulli law of large numbers,Borel strong law of large numbers and recurrence theorem for bounded,independent or dependent random variable sequence {ξn}.As appllications,we get the extended Bernoulli law of large numbers,recurrence theorem in 1] and improves the extended Borel strong law of large numbers in 1]. |
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| Keywords: | Bernoulli law of large numbers Borel strong law of large numbers recurrence theorem |
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