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| ■混合随机变量序列的强收敛定律(英文) | |
| 引用本文： | 黄海午,王定成,吴群英.■混合随机变量序列的强收敛定律(英文)[J].应用概率统计,2012,28(2):181-188. |
| 作者姓名： | 黄海午 王定成 吴群英 |
| 作者单位： | 1. 电子科技大学数学科学学院,成都,610054;桂林理工大学理学院,桂林,541004 2. 电子科技大学数学科学学院,成都,610054;南京审计学院金融工程研究所,金融学院,应用数学学院,南京,211815 3. 桂林理工大学理学院,桂林,541004 |
| 基金项目： | supported by the National Natural Science Foundation of China(11061012;70871104);the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning and the Plan of Jiangsu Specially-appointed Professors |
| 摘 要： | 本文建立了■混合随机变量序列的几乎处处收敛性和完全收敛性的结果.所获结果不仅把独立随机变量经典的Khintchine-Kolmogorov收敛定理和三级数收敛定理推广至■混合随机变量情形下,并在没有增加任何附加条件下改进了相关结果. |
| 关 键 词： | ■混合随机变量 几乎处处收敛性 完全收敛性 加权和 |
Strong Convergence Laws for (～φ)-Mixing Sequences of Random Variables |
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| HUANG HAIWU , WANG DINGCHENG , WU QUNYING.Strong Convergence Laws for (～φ)-Mixing Sequences of Random Variables[J].Chinese Journal of Applied Probability and Statisties,2012,28(2):181-188. | |
| Authors: | HUANG HAIWU WANG DINGCHENG WU QUNYING |
| Institution: | School of Mathematics Science, University of Electronic Science and Technology of China, College of Science, Guilin University of Technology, Institute of Financial Engineering, School of Finance, School of Applied Mathematics, Nanjing Audit University, |
| Abstract: | In this paper,the almost sure convergence and complete convergence for ■-mixing random variables are established.The results obtained not only extend and generalize the classical Khintchine-Kolmogorov Convergence Theorem,the Three Series Theorem for independent random variables to the case of ■-mixing random variables,but also improve the relevant results without necessarily adding any extra any conditions. |
| Keywords: | (～φ)-mixing random variables almost sure convergence complete convergence weighted sums |
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