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Asymptotics of the remainder term in the central limit theorem in a Hilbert space

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Publication:1071373
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DOI10.1007/BF00970326zbMath0586.60022MaRDI QIDQ1071373

Vidmantas Bentkus

Publication date: 1984

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


zbMATH Keywords

Hilbert spacemodulus of continuityGaussian random vectorspeed of convergenceexpectations of Frechet differentiable functions


Mathematics Subject Classification ID

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


Related Items (1)

Asymptotic expansions with nonuniform remainders in the central limit theorem in Hilbert space



Cites Work

  • On Edgeworth expansions in Banach spaces
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