A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements

DOI10.1016/j.jmaa.2020.123975zbMath1440.60009OpenAlexW3007580537MaRDI QIDQ2306235

Manuel Ordóñez Cabrera, Andrew Rosalsky, Mehmet Ünver, Andrei I. Volodin

Publication date: 20 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123975

zbMATH Keywords

weighted sumsmean convergencereal separable Banach spacearray of random elementscompact uniform integrability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probabilistic methods in Banach space theory (46B09) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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