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| 行为混合阵列加权和的收敛性 | |
| 引用本文： | 谭成良,吴群英,何燕梅.行为混合阵列加权和的收敛性[J].数学杂志,2011,31(1):103-108. |
| 作者姓名： | 谭成良 吴群英 何燕梅 |
| 作者单位： | 1. 广东肇庆高新区党委办公室,广东,肇庆,526738 2. 桂林工学院数理系,广西,桂林,541004 3. 广东肇庆高新区大旺中学,广东,肇庆,526238 |
| 基金项目： | 广西研究生教育创新计划项目，国家自然科学基金资助项目 |
| 摘 要： | 本文研究了行为混合阵列加权和的收敛性.利用混合序列的Rosenthal型最大值不等式,讨论了混合阵列加权和的L1收敛性,依概率收敛性,几乎处处收敛性,及完全收敛性之间的等价关系,推广了行独立随机变量阵列相应的结果. |
| 关 键 词： | 混合阵列 Rosenthal型最大值不等式 完全收敛性 依概率收敛性 |
CONVERGENT BEHAVIORS OF WEIGHTED SUMS FOR ARRAYS OF ROWWISE (ρ) MIXING RANDOM VARIABLES |
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| TAN Cheng-liang,WU Qun-ying,HE Yan-mei.CONVERGENT BEHAVIORS OF WEIGHTED SUMS FOR ARRAYS OF ROWWISE (ρ) MIXING RANDOM VARIABLES[J].Journal of Mathematics,2011,31(1):103-108. | |
| Authors: | TAN Cheng-liang WU Qun-ying HE Yan-mei |
| Institution: | TAN Cheng-liang1,WU Qun-ying2,HE Yan-mei3 (1. Management Committee Office,Zhaoqing High-Tech. Zone,Zhaoqing 526238,China) (2. Dept. of Math. and Physics,Guilin Institute of Technology,Guilin 541004,China) (3. Dawang Middle School,China) |
| Abstract: | In this article, we study the convergent behaviors of weighted sums for arrays of rowwise mixing random variables. By using Rosenthal-type inequality of partial sums for -mixing random variables, we study the equivalences among L1 convergence, convergence in probability, almost sure convergence and complete convergence of weighted sums for arrays of rowwise -mixing random variables. Our results extend the corresponding results of arrays of rowwise independent random variables. |
| Keywords: | -mixing array Rosenthal type inequality complete convergence convergence in probabillity |
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