| ND阵列加权乘积和的完全收敛性 |
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| 引用本文： | 孟兵,吴群英.ND阵列加权乘积和的完全收敛性[J].纯粹数学与应用数学,2010,26(1):84-90,106. |
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| 作者姓名： | 孟兵 吴群英 |
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| 作者单位： | 桂林理工大学理学院,广西,桂林,541004;桂林理工大学理学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金(10661006);;广西“新世纪十百千人才工程”专项资金(2005214);;广西自然科学基金(桂科自0728212) |
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| 摘 要： | 设（Xni：1≤i≤n，n≥1）为行间ND阵列，g（x）是R^＋上指数为α的正则变化函数，{αni：1≤i≤n，n≥1}为满足条件max1≤i≤n｜ani｜=0（（g（n））^-1）的实数阵列．本文采用截尾的方法，得到了使ND随机变量阵列加权乘积和完全收敛的条件，并推广了以前学者的结论．
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| 关 键 词： | 行间ND阵列 加权乘积和 完全收敛性 正则变化函数 慢变函数 |
Complete convergence for weighted sums of arrays of ND random variables |
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| MENG Bing,WU Qun-ying.Complete convergence for weighted sums of arrays of ND random variables[J].Pure and Applied Mathematics,2010,26(1):84-90,106. |
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| Authors: | MENG Bing WU Qun-ying |
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| Institution: | Department of Mathematics and Physics;Guilin University of Technology;Guilin 541004;China |
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| Abstract: | Let {Xni：1≤i≤n,n≥1} be an array of rowwise ND random variables, and let g（x） be a regular function with index α. Let {αni：1≤i≤n,n≥1} be an array of real numbers satisfying max 1≤i≤n｜ani｜=0（（g（n））^-1）. In this paper, it is taken advantage of truncation, a set of sufficient conditions such that complete convergence for weighted sums of arrays of ND random variables are obtained. The well-known results by before scholars are extended. |
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| Keywords: | array of rowwise ND random variables weighted product sum complete convergence regular varying function slowing varying function |
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