A1 Journal article (refereed)
Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces (2020)


Nguyen, T. T., & Quang, N. V. (2020). Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces. Acta Mathematica Vietnamica, 45 (3), 555-570. doi:10.1007/s40306-018-0285-9


JYU authors or editors


Publication details

All authors or editors: Nguyen, Tran Thuan; Quang, Nguyen Van

Journal or series: Acta Mathematica Vietnamica

ISSN: 0251-4184

eISSN: 2315-4144

Publication year: 2020

Volume: 45

Issue number: 3

Pages range: 555-570

Publisher: National Center for Scientific Research

Publication country: Viet Nam

Publication language: English

DOI: http://doi.org/10.1007/s40306-018-0285-9

Open Access: Publication channel is not openly available


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.


Keywords: metric spaces

Free keywords: Baum-Katz theorem; convex combination; metric space


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Ministry reporting: Yes

Preliminary JUFO rating: 1


Last updated on 2020-18-10 at 19:46