Baum-Katz’s Type Theorems for Pairwise Independent Random Elements in Certain Metric Spaces
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. https://doi.org/10.1007/s40306-018-0285-9
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Acta Mathematica VietnamicaDate
2020Copyright
© 2018, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
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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National Center for Scientific ResearchISSN Search the Publication Forum
0251-4184Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28238946
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Additional information about funding
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.03-2017.24.License
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