LIL behavior for B-valued strong mixing random variables

被引：3
|
作者：
Fu KeAng [1 ]
Zhang LiXin [2 ]
机构：
[1] Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou 310018, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 04期
基金：
中国国家自然科学基金;
关键词：
law of the iterated logarithm (LIL); phi*-mixing; Banach space of type p; ITERATED LOGARITHM; UNIVERSAL LAW; CLUSTER SET; THEOREMS; SPACE;
D O I：
10.1007/s11425-011-4196-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a sequence of mixing random variables {X, X (n) ; n >= 1} taking values in a separable Banach space B, and S (n) denoting the partial sum, a general law of the iterated logarithm is established, that is, we have with probability one, lim sup (n ->infinity) parallel to S (n parallel to)/c (n) = alpha (0) < infinity for a regular normalizing sequence {c (n) }, where alpha (0) is a precise value.
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页码：785 / 792
页数：8
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