Convergence rates of moments and related functionals in the invariance principle in Banach spaces

DOI10.1007/BF00970814zbMath0787.60010MaRDI QIDQ1175829

K. Lyubinskas, Vidmantas Bentkus

Publication date: 25 June 1992

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

zbMATH Keywords

convergence ratesDonsker-Prokhorov invariance principle

Mathematics Subject Classification ID

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

Related Items (1)

Theorems of large deviations in the multivariate invariance principle

Cites Work

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• Convergence of moments and related functional in the general central limit theorem in banach spaces
• On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
• Asymptotic expansions for bivariate von Mises functionals

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