A remark on the speed of convergence in the central limit theorem in Banach spaces

DOI10.1007/BF00968761zbMath0661.60014MaRDI QIDQ1113157

I. S. Borisov

Publication date: 1985

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

zbMATH Keywords

rate of convergencecentral limit theoremsempirical measures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

On smoothness conditions and convergence rates in the CLT in Banach spaces ⋮ A note on the rate of convergence in the CLT for empirical processes

Cites Work

• Unnamed Item
• Central limit theorems for empirical measures
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Asymptotic expansions for bivariate von Mises functionals
• Bad rates of convergence for the central limit theorem in Hilbert space

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