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.
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.
出处
《应用概率统计》
CSCD
北大核心
2012年第2期181-188,共8页
Chinese Journal of Applied Probability and Statistics
基金
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
关键词
■混合随机变量
几乎处处收敛性
完全收敛性
加权和
■-mixing random variables
almost sure convergence
complete convergence
weighted sums
