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

V. Bentkus; B. Zalesskii

doi:10.1007/bf00966737

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

Lithuanian Mathematical Journal ◽

10.1007/bf00966737 ◽

1986 ◽

Vol 25 (3) ◽

pp. 199-208 ◽

Cited By ~ 2

Author(s):

V. Bentkus ◽

B. Zalesskii

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem

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Asymptotic expansions in the central limit theorem in Hilbert space

Lithuanian Mathematical Journal ◽

10.1007/bf00968039 ◽

1985 ◽

Vol 24 (3) ◽

pp. 210-225 ◽

Cited By ~ 3

Author(s):

V. Bentkus

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem

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Asymptotic expansions refining the central limit theorem in Hilbert space

Probability Theory and Applications ◽

10.1515/9783112314227-092 ◽

1987 ◽

pp. 679-688

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem

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A Leading Term Approach to Asymptotic Expansions in the Central Limit Theorem

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-49.3.423 ◽

1984 ◽

Vol s3-49 (3) ◽

pp. 423-444 ◽

Cited By ~ 1

Author(s):

Peter Hall

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem ◽

Leading Term

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On the estimate of the rate of convergence in the central limit theorem in Hilbert space

Stability Problems for Stochastic Models - Lecture Notes in Mathematics ◽

10.1007/bfb0084183 ◽

1989 ◽

pp. 309-327 ◽

Cited By ~ 1

Author(s):

V. V. Senatov

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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On the rate of convergence of moments in the central limit theorem in Hilbert space

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0072951 ◽

1983 ◽

pp. 561-575 ◽

Cited By ~ 1

Author(s):

V. V. Sazonov ◽

B. A. Zalesskii

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem ◽

Convergence Of Moments

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ON THE CENTRAL LIMIT THEOREM IN HILBERT SPACE WITH APPLICATION TO U-STATISTICS

Probability Theory and Extreme Value Theory ◽

10.1515/9783110917826.224 ◽

2012 ◽

Author(s):

MADAN L. PURI ◽

V. V. SAZONOV

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

U Statistics ◽

The Central Limit Theorem

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Non-uniform estimate in the central limit theorem in a separable Hilbert space

Proceedings of the Third Japan — USSR Symposium on Probability Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0077510 ◽

1976 ◽

pp. 475-499 ◽

Cited By ~ 1

Author(s):

V. I. Paulauskas

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Separable Hilbert Space ◽

Uniform Estimate ◽

The Central Limit Theorem

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Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19851220115 ◽

1985 ◽

Vol 122 (1) ◽

pp. 151-155 ◽

Cited By ~ 10

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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On the Convergence Rate in the Central Limit Theorem on a Class of Sets in Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1130091 ◽

1986 ◽

Vol 30 (4) ◽

pp. 702-711 ◽

Cited By ~ 5

Author(s):

B. A. Zalesskii

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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Asymptotic expansions based on smooth functions in the central limit theorem

Probability Theory and Related Fields ◽

10.1007/bf00699108 ◽

1986 ◽

Vol 72 (2) ◽

pp. 289-303 ◽

Cited By ~ 21

Author(s):

A. D. Barbour

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Smooth Functions ◽

The Central Limit Theorem

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