COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RANDOM ELEMENTS

被引：0
|
作者：
Sung, Soo Hak [1 ]
机构：
[1] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 02期
关键词：
array of random elements; complete convergence; weighted sums; rowwise independence; convergence in probability; ARRAYS;
D O I：
10.4134/BKMS.2010.47.2.369
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a result on complete convergence of weighted sums for arrays of rowwise independent Banach space valued random elements. No assumptions are given on the geometry of the underlying Banach space. The result generalizes the main results of Ahmed et al. [1], Chen et al. [2], and Volodin et al. [14].
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页码：369 / 383
页数：15
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