Some degenerate mean convergence theorems for Banach space valued random elements

DOI10.7153/JMI-2022-16-09zbMath1489.60051OpenAlexW4221096975WikidataQ113688764 ScholiaQ113688764MaRDI QIDQ5078786

Presnell, Brett, Andrew Rosalsky, De Li Li

Publication date: 25 May 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-09

zbMATH Keywords

Banach spaceRademacher type \(p\)real separable Banach spacedegenerate mean convergencearray of rowwise independent random elementsuniformly integrable sequence of random variables

Mathematics Subject Classification ID

Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Cites Work

• Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
• Stochastic convergence of weighted sums of random elements in linear spaces
• The law of large numbers and the central limit theorem in Banach spaces
• On complete convergence in a Banach space
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