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
Published in
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.
Publisher
National Center for Scientific ResearchISSN Search the Publication Forum
0251-4184Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28238946
Metadata
Show full item recordCollections
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
Related items
Showing items with similar title or keywords.
-
On a class of singular measures satisfying a strong annular decay condition
Arroyo, Ángel; Llorente, José G. (American Mathematical Society, 2019)A metric measure space (X, d, t) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that for each x E X and all 0 < r < R. If do., is the distance induced by the co -norm in RN, we ... -
Infinitesimal Hilbertianity of Locally CAT(κ)-Spaces
Di Marino, Simone; Gigli, Nicola; Pasqualetto, Enrico; Soultanis, Elefterios (Springer, 2021)We show that, given a metric space (Y,d)(Y,d) of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure μμ on YY giving finite mass to bounded sets, the resulting metric measure space ... -
The Hajłasz Capacity Density Condition is Self-improving
Canto, Javier; Vähäkangas, Antti V. (Springer Science and Business Media LLC, 2022)We prove a self-improvement property of a capacity density condition for a nonlocal Hajłasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary ... -
Quasispheres and metric doubling measures
Lohvansuu, Atte; Rajala, Kai; Rasimus, Martti (American Mathematical Society, 2018)Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere X is a quasisphere if and only if X is linearly locally connected and carries a weak metric doubling measure, ... -
Quasiconformal Jordan Domains
Ikonen, Toni (Walter de Gruyter GmbH, 2021)We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y,dY). We say that a metric space (Y,dY) is a quasiconformal Jordan domain if the completion Y of (Y,dY) has finite Hausdor 2-measure, ...