| S_p系统的强收敛性 |
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| 引用本文： | 吴礼斌,李柏年.S_p系统的强收敛性[J].合肥学院学报(自然科学版),2010,20(1):1-3. |
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| 作者姓名： | 吴礼斌 李柏年 |
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| 作者单位： | 安徽财经大学,统计与应用数学学院,安徽,蚌埠,233030 |
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| 基金项目： | 安徽省教育厅自然科学基金项目 |
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| 摘 要： | 讨论了一定条件下的φ-混合、ψ-混合随机变量序列是Sp系统,通过建立φ-混合、ψ-混合序列的矩不等式,研究了Sp系统的强收敛性,将独立同分布随机变量的Marcinkiewicz强大数定律推广到了ψ-混合、φ-混合序列.
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| 关 键 词： | Sp系统 混合序列 强大数定律 |
Almost Sure Convergence of Lacunary Systems |
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| WU Li-bin,LI Bai-nian.Almost Sure Convergence of Lacunary Systems[J].Journal of Hefei University :Natural Sciences,2010,20(1):1-3. |
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| Authors: | WU Li-bin LI Bai-nian |
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| Institution: | ( School of Statistics ＆ Applied Mathematics, Anhui University of Finance ＆ Economics, Bengbu, Anhui 233041, China) |
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| Abstract: | In this paper, connection of lacunary systems and ,mixing random sequences in certain condition is discussed, through building-up moment inequality of the sums of mixing random sequences, strong convergence properties of laeunary systems is established. So gets the results extend Marcinkiewicz larger number law with φ-mixing and ψ-mixing. |
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| Keywords: | lacunary systems mixing sequences strong larger number law |
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