| NA随机变量序列加权和的完全收敛性 |
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| 引用本文： | 刘毅清,王远清.NA随机变量序列加权和的完全收敛性[J].广西科学,2011,18(4):342-344. |
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| 作者姓名： | 刘毅清 王远清 |
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| 作者单位： | 桂林理工大学理学院 |
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| 基金项目： | 广西自然科学基金项目(桂科自2011GXNSFA018149);广西科学基金项目(桂科自0832262)资助 |
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| 摘 要： | 利用截尾法和矩不等式,证明一般情况下NA随机变量序列加权和的完全收敛性,推广独立随机序列加权和的完全收敛性.
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| 关 键 词： | NA序列 加权和 完全收敛性 |
| 收稿时间： | 2011/2/27 0:00:00 |
Complete Convergence of Weighted Sums of NA Random Variables Sequence |
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| LIU Yi-qing and WANG Yuan-qing.Complete Convergence of Weighted Sums of NA Random Variables Sequence[J].Guangxi Sciences,2011,18(4):342-344. |
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| Authors: | LIU Yi-qing and WANG Yuan-qing |
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| Institution: | (Department of Science,Guilin University of Technology,Guilin,Guangxi,541004,China) |
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| Abstract: | The almost sure convergence of the weighted sums of NA random variables sequence was studied by means of truncation and G inequality Lemma.We proved the complete convergence of the weighted sums in the case where the weinghted coefficients αnk are array of real numbers,which extends the convergence result of independent random variable sequence. |
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| Keywords: | NA sequence weighted sums complete convergence |
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