Lower bounds for the sharpness of a normal approximation in Banach spaces

DOI10.1007/BF00970327zbMath0584.60034OpenAlexW1992041680MaRDI QIDQ1069548

Vidmantas Bentkus

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00970327

zbMATH Keywords

speed of convergencecentral limit theorem in Banach spacescovariance kernellower bounds for the normal approximation

Mathematics Subject Classification ID

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

Related Items (3)

On smoothness conditions and convergence rates in the CLT in Banach spaces ⋮ Remark on the distribution of the norm of a Gaussian vector in the Banach space \(c_ 0\) ⋮ A note on the rate of convergence in the CLT for empirical processes

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