An almost sure invariance principle for triangular arrays of banach space valued random variables

DOI10.1007/BF00531835zbMath0541.60006MaRDI QIDQ3327408

Walter Philipp, Herold G. Dehling, André Robert Dabrowski

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

invariance principletriangular arraysinfinitely divisible measureconvergence in probability

Mathematics Subject Classification ID

Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

Extremal point processes and intermediate quantile functions ⋮ Strong invariance principles for triangular arrays of weakly dependent random variables ⋮ Invariance principles in probability for stable processes generated by a class of dependent sequences ⋮ A strong approximation theorem for sums of random vectors in the domain of attraction to a stable law

Cites Work

• Weak and \(L^p\)-invariance principles for sums of \(B\)-valued random variables
• Invariance principles in probability for triangular arrays of B-valued random vectors and some applications
• Approximation theorems for independent and weakly dependent random vectors
• The invariance principle for Banach space valued random variables
• Invariance principles for sums of Banach space valued random elements and empirical processes
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