Rate of convergence in the invariance principle in Banach spaces

DOI10.1007/BF00966599zbMath0661.60017MaRDI QIDQ1113160

K. Lyubinskas, Vidmantas Bentkus

Publication date: 1987

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Banach spacesProkhorov distancerandom polygonal lines

Mathematics Subject Classification ID

Brownian motion (60J65) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Convergence rates of moments and related functionals in the invariance principle in Banach spaces ⋮ Theorems of large deviations in the multivariate invariance principle

Cites Work

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• On Edgeworth expansions in Banach spaces
• Potential theory on Hilbert space
• Local behaviour of hilbert space valued stochastic integrals and the continuity of mild solutions of stochastic evolution equations
• The theory of differentiation in linear topological spaces
• The Existence of Probability Measures with Given Marginals

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