Nonuniform estimates in the central limit theorem in a Hilbert space. I

Lithuanian Mathematical Journal ◽

10.1007/bf00970717 ◽

1980 ◽

Vol 19 (4) ◽

pp. 466-471

Author(s):

Yu. V. Borovskikh

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

The Central Limit Theorem

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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 ◽

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 ◽

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 ◽

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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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 ◽

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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Correction: Bad Rates of Convergence for the Central Limit Theorem in Hilbert Space

The Annals of Probability ◽

10.1214/aop/1176991520 ◽

1989 ◽

Vol 17 (1) ◽

pp. 401-401

Author(s):

WanSoo Rhee ◽

Michel Talagrand

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Rates Of Convergence ◽

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 ◽

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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A PRECISE ESTIMATE OF THE RATE OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM IN HILBERT SPACE

Mathematics of the USSR-Sbornik ◽

10.1070/sm1991v068n02abeh002110 ◽

1991 ◽

Vol 68 (2) ◽

pp. 453-482 ◽

Author(s):

B A Zalesskiĭ ◽

V V Sazonov ◽

V V Ul'yanov

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Precise Estimate ◽

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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Bad Rates of Convergence for the Central Limit Theorem in Hilbert Space

The Annals of Probability ◽

10.1214/aop/1176993232 ◽

1984 ◽

Vol 12 (3) ◽

pp. 843-850 ◽

Author(s):

WanSoo Rhee ◽

Michel Talagrand

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Rates Of Convergence ◽

The Central Limit Theorem

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