\bmφ-混合序列加权和的强收敛性

吴永峰

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (4) : 431-442.

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PDF(297 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (4) : 431-442. DOI: 10.12341/jssms12311
论文

\bmφ-混合序列加权和的强收敛性

    吴永峰
作者信息 +

STRONG CONVERGENCE FOR WEIGHTED SUMS OF '-MIXING RANDOM VARIABLES

    WU Yongfeng
Author information +
文章历史 +

摘要

研究了\,φ-混合序列加权和的完全收敛性与矩完全收敛性,在较弱的条件下, 获得了与蔡光辉\,(2008)\,类似的结论. 作者同时指出,按照本文中方法, 蔡光辉\,(2008)\,的定理可以被改进.

Abstract

This paper deals with the complete convergence and the complete mo-ment convergence for weighted sums of ?-mixing random variables. Under some
weaker conditions, some results similar to that of Cai (2008) are obtained. Finally, it is pointed out that the theorem of Cai (2008) can be improved by means of methods in this paper.

关键词

φ-混合序列 / 完全收敛性 / 矩完全收敛性.

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吴永峰. \bmφ-混合序列加权和的强收敛性. 系统科学与数学, 2014, 34(4): 431-442. https://doi.org/10.12341/jssms12311
WU Yongfeng. STRONG CONVERGENCE FOR WEIGHTED SUMS OF '-MIXING RANDOM VARIABLES. Journal of Systems Science and Mathematical Sciences, 2014, 34(4): 431-442 https://doi.org/10.12341/jssms12311
中图分类号: 60F15   
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