| B值独立随机元序列加权和的完全收敛性和大数律的等价性 |
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| 引用本文： | 何思思,王文胜.B值独立随机元序列加权和的完全收敛性和大数律的等价性[J].高师理科学刊,2011,31(1):1-6. |
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| 作者姓名： | 何思思 王文胜 |
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| 作者单位： | 杭州师范大学,理学院,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金项目(10771070) |
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| 摘 要： | 在一定条件下研究了B值独立随机元序列加权和的收敛性质,并进一步得到了B值独立随机元序列加权和的完全收敛性和大数律的等价性.该结果推广了关于B值独立随机元的相应结果.
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| 关 键 词： | 完全收敛性 B值独立随机元 大数律 等价性 |
Equivalence of complete convergence and law of large numbers for weighted sums of sequences of valued independent random elements |
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| HE Si-si,WANG Wen-sheng.Equivalence of complete convergence and law of large numbers for weighted sums of sequences of valued independent random elements[J].Journal of Science of Teachers＇College and University,2011,31(1):1-6. |
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| Authors: | HE Si-si WANG Wen-sheng |
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| Institution: | HE Si-si,WANG Wen-sheng(School of Science,Hangzhou Normal University,Hangzhou 310018,China) |
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| Abstract: | Under some conditions on probability,researched on the characterization for weighted sums of sequences of B-valued independent random elements,and furthermore obtained the equivalence of complete convergence and law of large numbers for weighted sums of sequences ofB-valued independent random elements.The results spread corresponding results for sequences ofB-valued independent random elements. |
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| Keywords: | complete convergence B-valued independent random element law of large number equivalence |
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