Acta Mathematica Vietnamica
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Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces
Nguyen Tran Thuan
,
Nguyen Van Quang
Abstract
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.