摘要
本文研究φ混合随机变量最大值加权和的强收敛性质.提出关于不同分布φ混合随机变量完全收敛的一些结果.作为一个应用,取得φ混合随机变量加权和的Marcinkiewicz-Zygmund型强大数定律.
In this article, the strong convergence properties for maximal weighted sums of φ-mixing random variables are studied. Some results on the complete convergence for φ -mixing random variahies are presented without assumption of identical distribution. As an application, the Marcinkiewicz- Zygmund type strong law of large numbers for weighted sums of φ-mixing random variables is ob- tained.
出处
《应用数学》
CSCD
北大核心
2015年第2期291-298,共8页
Mathematica Applicata
基金
Supported by the National Nature Science Foundation of China(71271042,11401127)
the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning((2011)47)
the Support Program of the Guangxi China Science Foundation(2014GXNSFBA118006,2013GXNSFDA019001)
the Guangxi Provincial Scientic Research Projects(201204LX157,2013YB104,YB2014150)
the Construct Program of the Key Discipline in Hunan Province([2011]76)
the Science Foundation of Hengyang Normal University(14B30)
