On conditional compactly uniform \(p\)th-order integrability of random elements in Banach spaces

DOI10.1016/S0167-7152(01)00159-6zbMath1003.60004MaRDI QIDQ1612936

Andrei I. Volodin, Manuel Ordóñez Cabrera

Publication date: 5 September 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

random elementsconditional tightnessconditional uniform integrability

Mathematics Subject Classification ID

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

Related Items

Some mean convergence theorems for weighted sums of Banach space valued random elements, Convergence of randomly weighted sums of Banach-space-valued random elements under some conditions of uniform integrability, A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements

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