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-  2017 

NA序列完全矩收敛的精确渐近性
Precise asymptotics in the complete moment convergence for NA random variables

DOI: 10.6040/j.issn.1671-9352.0.2016.126

Keywords: 对数律,精确渐近性,完全矩收敛,NA序列,
complete moment convergence
,NA sequence,precise asymptotics,the logarithm law

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Abstract:

摘要: 设{Xn; n≥1}是具有零均值、有限方差的严平稳负相关(negatively associated, NA)随机变量序列,在适当的条件下,得到了NA序列下部分和以及部分和最大值在对数律下的完全矩收敛精确渐近性的一般函数式,扩大了应用范围。
Abstract: Let {Xn; n≥1} be a strictly stationary sequence of negatively associated random variables with mean zero and finite variance. We obtain general functions for the precise asymptotics of the logarithm law in the complete moment convergence, which about partial sums and the maximum of partial sums under suitable conditions for NA random sequences, and expand the application range

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