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A note on the rate of convergence in the CLT for empirical processes

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Publication:1324868
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DOI10.1007/BF00971436zbMath0796.60025MaRDI QIDQ1324868

Vygantas Paulauskas

Publication date: 19 July 1994

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


zbMATH Keywords

rate of convergenceempirical processempirical measure


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items (1)

High-dimensional central limit theorems for homogeneous sums




Cites Work

  • Unnamed Item
  • Rate of convergence in the central limit theorem for empirical processes
  • Lower bounds for the sharpness of a normal approximation in Banach spaces
  • Empirical processes indexed by Lipschitz functions
  • Asymptotic expansions in the local limit theorem in a Hilbert space
  • A remark on the speed of convergence in the central limit theorem in Banach spaces
  • Central limit theorems for empirical measures
  • The central limit theorem for stochastic processes
  • Bad rates of convergence for the central limit theorem in Hilbert space




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