ρ~混合序列的矩不等式与完全收敛性

蔡光辉

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 251-256.

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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 251-256. DOI: 10.12341/jssms10065
论文

ρ~混合序列的矩不等式与完全收敛性

    蔡光辉
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Moment Inequality and Complete Convergence of ρ~Mixing Sequences

    CAI Guanghui
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摘要

给出一类较广泛的ρ~ 混合序列的矩不等式. 讨论了ρ~ 混合序列的完全收敛性, 所得的结果改进了相关文献中的结果,并得到了完全收敛速度与矩条件之间的等价关系.

Abstract

A kind of more general moment inequalities of ρ~ mixing sequences are given. Complete convergences of ρ~ mixing
sequences are investigated. The results obtained improve the previous results. The equivalent relationship between rates of complete convergence and moment condition is also set up.

关键词

ρ~ 混合序列 / 矩不等式 / 完全收敛性.

Key words

ρ~ mixing sequences / moment inequality / complete convergence.

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蔡光辉. ρ~混合序列的矩不等式与完全收敛性. 系统科学与数学, 2008, 28(2): 251-256. https://doi.org/10.12341/jssms10065
CAI Guanghui. Moment Inequality and Complete Convergence of ρ~Mixing Sequences. Journal of Systems Science and Mathematical Sciences, 2008, 28(2): 251-256 https://doi.org/10.12341/jssms10065
中图分类号： 60F15   
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