B值混合序列的一些收敛性结果

李炜, 陈平炎

数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 881-890.

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PDF(433 KB)
数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 881-890. DOI: 10.12386/A2010sxxb0098
论文

B值混合序列的一些收敛性结果

    李炜1, 陈平炎2
作者信息 +

Some Limit Results for B Valued ρ-Mixing Random Elements

    Wei LI1, Ping Yan CHEN2
Author information +
文章历史 +

摘要

本文获得了Bρ混合随机元序列的均值收敛性,Kolmogorov强大数定律以及正则和极大值矩的存在性问题,推广和改进了已有的结果.

 

Abstract

In this paper, we obtain the mean convergence, Kolmogrov strong law of large numbers and the exist of the normed partial sums for the sequence of B-valued ρ-mixing random elements, which extend and generalize the well-known results.

 

关键词

ρ混合序列 / 随机元 / 均值收敛性

Key words

ρ-mixing / random element / mean convergence

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导出引用
李炜, 陈平炎. B值混合序列的一些收敛性结果. 数学学报, 2010, 53(5): 881-890 https://doi.org/10.12386/A2010sxxb0098
Wei LI, Ping Yan CHEN. Some Limit Results for B Valued ρ-Mixing Random Elements. Acta Mathematica Sinica, Chinese Series, 2010, 53(5): 881-890 https://doi.org/10.12386/A2010sxxb0098

参考文献


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基金

国家自然科学基金资助项目

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