| 关于随机变量加权和的强收敛性注记 |
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| 引用本文： | 蔡宗武. 关于随机变量加权和的强收敛性注记[J]. 高校应用数学学报(A辑), 1991, 6(1): 44-51 |
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| 作者姓名： | 蔡宗武 |
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| 作者单位： | 杭州大学数学系 310028 |
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| 基金项目： | 霍英东教育基金，国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 设{X,;n≥1}为独立同分布随机序列,{a_(xi);1≤i≤K_n,↑~∞,n≥1}为权系数序列。本文给出三组sum from i=1 to K_n(a_(ai)X_i→0a.s.充分条件。同时,还讨论加权和的完全收敛性,我们的条件比[3]弱。
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| 关 键 词： | 随机变量 加权和 强收敛性 |
SOME REMARKS ON THE STRONG CONVERGENCE OF WEIGHTED SUMS FOR INDEPENDENT RANDOM VARIABLES |
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| Cai Zongwu. SOME REMARKS ON THE STRONG CONVERGENCE OF WEIGHTED SUMS FOR INDEPENDENT RANDOM VARIABLES[J]. Applied Mathematics A Journal of Chinese Universities, 1991, 6(1): 44-51 |
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| Authors: | Cai Zongwu |
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| Affiliation: | Hongzhou University |
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| Abstract: | In this paper, three groups of sufficient conditions for a. s. convergence of weighted sums for independent random variables are given. On the other hand, the complete convergence of weighted sums is obtained, the condition is more weaker than that of Chow [3]. |
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| Keywords: | weighted sums a. s. convergence complete convergence. |
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