Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces

被引：0
作者：
Nguyen Tran Thuan
Nguyen Van Quang
机构：
[1] Vinh University,Department of Mathematics
[2] University of Jyväskylä,Department of Mathematics and Statistics
来源：
Acta Mathematica Vietnamica | 2020年 / 45卷
关键词：
Baum-Katz theorem; Convex combination; Metric space; 28B99; 60F15; 60F25; 52A99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, some Baum-Katz’s type theorems for pairwise independent random elements are extended to a metric space endowed with a convex combination operation. Our results are considered in the cases of identically distributed and non-identically distributed random elements. Some illustrative examples are provided to sharpen the results.
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页码：555 / 570
页数：15
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