LIL behavior for B-valued strong mixing random variables

被引：0
作者：
KeAng Fu
LiXin Zhang
机构：
[1] Zhejiang Gongshang University,School of Statistics and Mathematics
[2] Zhejiang University,Department of Mathematics
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
law of the iterated logarithm (LIL); *-mixing; Banach space of type ; 60F15; 60G50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a sequence of mixing random variables {X, Xn; n ≥ 1} taking values in a separable Banach space B, and Sn denoting the partial sum, a general law of the iterated logarithm is established, that is, we have with probability one, lim supn→∞ |Sn|/cn = α0 < ∞ for a regular normalizing sequence {cn}, where α0 is a precise value.
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页码：785 / 792
页数：7
相关论文
共 31 条
[1]  
De Acosta A.(1983)Some results on the cluster set Ann Probab 11 102-122
[2]  
Kuelbs J.(1979)({ Ann Probab 7 29-54
[3]  
Berkes I.(1998)/ Ann Probab 26 805-831
[4]  
Philipp W.(1993)}) and the LIL Ann Probab 21 2012-2045
[5]  
Berkes I.(2001)Approximation theorems for independent and weakly dependent random vectors Ann Probab 29 1451-1475
[6]  
Philipp W.(2005)Limits theorems for mixing sequences without rate assumptions Ann Probab 33 1601-1624
[7]  
Einmahl U.(2008)Toward a general law of the iterated logarithm in Banach space Trans Amer Math Soc 360 6677-6693
[8]  
Einmahl U.(1968)Cluster sets for a generalized law of the iterated logarithm in Banach spaces J Math Mech 18 343-355
[9]  
Kuelbs J.(1972)Some results on two-sided LIL behavior Ann Math Statist 43 701-732
[10]  
Einmahl U.(1976)Characterization of the LIL behavior in Banach space Z Wahrsch Verw Gebiete 36 165-178
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