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Lower bound for the rate of convergence in the CLT in a Hilbert space

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Publication:918018
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DOI10.1007/BF00971948zbMath0705.60010MaRDI QIDQ918018

Mindaugas Bloznelis

Publication date: 1989

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


zbMATH Keywords

Hilbert spacerate of uniform convergencestable random vectordomain of normal attraction


Mathematics Subject Classification ID

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 multivariate local limit theorem



Cites Work

  • Normal approximation - some recent advances
  • Domains of attraction of stable measures on a Hilbert space
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