A refinement of the error estimate of the normal approximation in a Hilbert space

DOI10.1007/BF00969280zbMath0661.60015OpenAlexW2069155979MaRDI QIDQ1113158

Sergei Nagaev, Vladimir I. Chebotarev

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00969280

zbMATH Keywords

covariance operatorerror estimate for normal approximation

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics

Cites Work

• Unnamed Item
• Hitting probability of a Gaussian vector with values in a Hilbert space in a sphere of small radius
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Asymptotic expansions for bivariate von Mises functionals

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