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].
机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
Jun, An
Demei, Yuan
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机构:
Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
机构:
Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Huang, Haiwu
Zhang, Hanjun
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机构:
Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Zhang, Hanjun
Zhang, Qingxia
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机构:
Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China