| 两两独立序列加权和的L~r收敛性 |
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| 引用本文： | 李炜,柳向东.两两独立序列加权和的L~r收敛性[J].大学数学,2011,27(3). |
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| 作者姓名： | 李炜 柳向东 |
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| 作者单位： | 1. 仲恺农业技术学院,计算科学学院,广州,510225
2. 暨南大学,经济学院统计学系,广州,510630 |
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| 摘 要： | 讨论了两两独立随机变量列加权和在满足r(1≤r<2)阶Ces`aro一致可积条件下的Lr收敛性,获得了与独立情形一致的结果.用相似的方法,对于其它相依或混合序列(如两两NQD列,φ-混合序列,ρ-混合序列)也有相同的结果.
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| 关 键 词： | 两两独立 Lr收敛性 Ces`aro一致可积 |
L~r Convegence for Pairwise Independent Random Variables |
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| LI Wei,LIU Xiang-dong.L~r Convegence for Pairwise Independent Random Variables[J].College Mathematics,2011,27(3). |
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| Authors: | LI Wei LIU Xiang-dong |
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| Institution: | LI Wei1,LIU Xiang-dong2(1.Department of Computation Science,Zhongkai University of Agriculture and Technology,Guangzhou 510225,China,2.Department of Statistics,Jinan University,Guangzhou 510630,China) |
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| Abstract: | The author discusses the Lr convergence for the weighted sums of pairwise independent random variables under r-th Cesaro uniform integrability,which is the same as that in the independent case.By the similar argument,the result is also ture for the other dependent random variables(such as pairwise NQD,φ-mixing,ρ-mixing). |
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| Keywords: | pairwise independent Lr convergence Cesaro uniform integrability |
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