Lower bounds for the rate of convergence in the central limit theorem in Banach spaces

DOI10.1007/BF00968328zbMath0659.60018MaRDI QIDQ1112421

Vidmantas Bentkus

Publication date: 1985

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

zbMATH Keywords

convergence ratelower boundBerry-Esseen estimatecentral limit theorem in Banach spaces

Mathematics Subject Classification ID

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

Related Items (4)

On smoothness conditions and convergence rates in the CLT in Banach spaces ⋮ On probabilities of large deviations in Banach spaces ⋮ On the rate of normal approximation in \(D[0,1\)] ⋮ Bootstrapping and sample splitting for high-dimensional, assumption-lean inference

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential inequalities for sums of random vectors
• Bad rates of convergence for the central limit theorem in Hilbert space

This page was built for publication: Lower bounds for the rate of convergence in the central limit theorem in Banach spaces