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ρ混合序列重对数律的精确率
引用本文:黄炜,张立新,蒋烨.ρ混合序列重对数律的精确率[J].高校应用数学学报(英文版),2003,18(4).
作者姓名:黄炜  张立新  蒋烨
作者单位:Huang Wei Zhang Lixin Jiang YeDept.of Math.,Zhejiang Univ.,Hangzhou 310028,China.
基金项目:Research supported by the National Natural Science Foundation of China (1 0 0 71 0 72 )
摘    要:§ 1  Introduction and main resultsL et { X,Xn;n≥ 1} be a sequence of random variables with common distributionfunction F,mean0 and positive,finite variance,and set Sn= nk=1 Xk,n≥ 1.Also letlogx= ln(x∨e) ,log logx=log(logx) and(x) =2 xlog logx.Gut and Sp taru2 ] studied theprecise asymptotics on the law of the iterated logarithm.One of their results is as follows.Theorem A.Spuuose that{ X ,Xn;n≥ 1} is a sequence of i.i.d.random variables with EX= 0 and0
关 键 词:ρ  -mixing  random  variable

PRECISE RATE IN THE LAW OF ITERATED LOGARITHM FOR ρ -MIXING SEQUENCE
Huang Wei,Zhang Lixin,JIANG Ye.PRECISE RATE IN THE LAW OF ITERATED LOGARITHM FOR ρ -MIXING SEQUENCE[J].Applied Mathematics A Journal of Chinese Universities,2003,18(4).
Authors:Huang Wei  Zhang Lixin  JIANG Ye
Abstract:
Keywords:mixing random variable  law of iterated logarithm  tail probabilities
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