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NA随机变量序列加权和的Chover型重对数律
引用本文:邱德华,陈平炎.NA随机变量序列加权和的Chover型重对数律[J].数学物理学报(A辑),2014,34(3):674-683.
作者姓名:邱德华  陈平炎
作者单位:广东财经大学 数学与统计学院 广州 510320;暨南大学数学系 广州 510630
基金项目:国家自然科学基金(11271161)资助
摘    要:利用NA随机变量的指数不等式,对于具有重尾分布的同分布的NA随机变量序列,得到了用积分检验来刻划其加权部分和的极限定理,作为推论还得到了Chover型重对数律.把这些结果应用到经典的可和方式,获得了相应的结果.这些结果推广了已知的一些结论.

关 键 词:NA随机变量  重尾分布  重对数律  积分检验  加权部分和.
收稿时间:2012-08-07
修稿时间:2013-06-02

Chover´s Law of Iterated Logarithm for Weighted Partial Sums of NARandom Variables Sequences
QIU De-Hua,CHEN Ping-Yan.Chover´s Law of Iterated Logarithm for Weighted Partial Sums of NARandom Variables Sequences[J].Acta Mathematica Scientia,2014,34(3):674-683.
Authors:QIU De-Hua  CHEN Ping-Yan
Institution:School of Mathematics and Statistics, Guangdong University of Finance &|Economics, Guangzhou 510320; Department of Mathematics, Jinan University, Guangzhou 510630
Abstract:We establish the integral test for the weighted partial sums of identically distributed NA random variables with heavy-tailed distribution assumption by using the exponential inequality, and obtain the Chover's law of iterated logarithm as a corollary. As applications, the corresponding limit results for some classical summable methods are also established. These results in this paper extend the related known works in the literature.
Keywords:NA random variableszz  Heavy-tailed   distributionzz  Law of iterated logarithmzz  Integral testzz  Weighted partial sumszz
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