The law of the iterated logarithm for weakly dependent Hilbert space valued random variables

被引：7
|
作者：
Sharipov, OS
机构：
[1] Romanovskii Institute of Mathematics,
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2003年 / 44卷 / 06期
关键词：
law of the iterated logarithm; Hilbert space valued random variable; mixing condition;
D O I：
10.1023/B:SIMJ.0000007487.22414.15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the bounded and compact laws of the iterated logarithm for weakly dependent Hilbert space valued random variables. Under optimal moment conditions, we prove the bounded and compact laws of the iterated logarithm for sequences of identically distributed Hilbert space valued random variables satisfying the uniform strong mixing condition.
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页码：1111 / 1126
页数：16
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