| 任意随机变量序列级数的强收敛性 |
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| 引用本文： | 邱德华.任意随机变量序列级数的强收敛性[J].数学的实践与认识,2008,38(1):155-158. |
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| 作者姓名： | 邱德华 |
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| 作者单位： | 广东商学院,数学与计算科学系,广东,广州,510320 |
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| 摘 要： | 利用鞅差序列级数的收敛定理和条件三级数定理研究了任意随机变量序列级数的强收敛性,推广了某些经典的鞅差序列和独立随机变量序列及两两NQD序列的强极限定理.
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| 关 键 词： | 鞅差序列 任意随机变量序列 几乎处处收敛 |
| 修稿时间： | 2006年11月30 |
Strong Convergence Theorems for Arbitrary Random Variables Sequences Series |
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| QIU De-hua.Strong Convergence Theorems for Arbitrary Random Variables Sequences Series[J].Mathematics in Practice and Theory,2008,38(1):155-158. |
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| Authors: | QIU De-hua |
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| Abstract: | The strong convergence theorems for arbitrary stochastic sequences series are studied by the convergence theorem for martingale-difference series or condititional three series theroem,which genelized some classical strong limit theroems on martingale-difference sequences and independent stochastic sequences and pairwise NQD sequences. |
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| Keywords: | martingale-difference sequences arbitrary random variables sequences almost sure convergence |
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