| 混合序列的Hájeck-Rènyi型不等式及强大数律 |
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| 引用本文： | 邱德华,甘师信. 混合序列的Hájeck-Rènyi型不等式及强大数律[J]. 数学的实践与认识, 2007, 0(3) |
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| 作者姓名： | 邱德华 甘师信 |
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| 作者单位： | 广东商学院数学与计算计算科学系 广东广州510320(邱德华)，武汉大学数学与统计学院 湖北武汉430072(甘师信) |
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| 基金项目： | 湖南省自科基金(04JJ40009) |
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| 摘 要： | 利用Utev S.和Peligrad M.不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果.
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| 关 键 词： | 混合随机变量序列 Hájeck-Rènyi不等式 强大数律 |
The Hájeck-Rènyi Inequality and Strong Law of Large Numbers for -mixing Sequences |
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| QIU De-hua,GAN Shi-xin. The Hájeck-Rènyi Inequality and Strong Law of Large Numbers for -mixing Sequences[J]. Mathematics in Practice and Theory, 2007, 0(3) |
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| Authors: | QIU De-hua GAN Shi-xin |
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| Affiliation: | QIU De-hua1,GAN Shi-xin2 |
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| Abstract: | By the Utev S.and Peligrad M.inequality of-mixing random variable sequence,we obtain the Hájeck-Rènyi inequality and three series theorem and Chung′s strong law of large numbers for-mixing random variable sequence,which extend and improve the corresponding results of Gan shixin and Wu Qunying,these resuls are consistent with that for independent random variable sequence. |
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| Keywords: | -mixing random variables sequences the Hájeck-Rènyi inequality strong law of large numbers |
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