Some Remarks on Estimating the Rate of Convergence in the Central Limit Theorem in the Hilbert Space

V. V. Senatov

doi:10.1137/1136049

Some Remarks on Estimating the Rate of Convergence in the Central Limit Theorem in the Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1136049 ◽

1992 ◽

Vol 36 (2) ◽

pp. 401-405 ◽

Cited By ~ 3

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 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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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 ◽

Cited By ~ 3

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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An estimate for the rate of convergence in the central limit theorem in a real separable Hilbert space

Mathematical Notes ◽

10.1007/bf01142519 ◽

1981 ◽

Vol 29 (1) ◽

pp. 78-82 ◽

Cited By ~ 1

Author(s):

V. V. Ul'yanov

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Separable Hilbert Space ◽

The Central Limit Theorem ◽

Real Separable Hilbert Space

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Rate of convergence in the central limit theorem in the space D[0, 1]

Lithuanian Mathematical Journal ◽

10.1007/bf00972120 ◽

1989 ◽

Vol 28 (3) ◽

pp. 229-238 ◽

Cited By ~ 2

Author(s):

V. Paulauskas ◽

D. Jukneviciene

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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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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Nonuniform bounds on the rate of convergence in the central limit theorem for martingales

Journal of Multivariate Analysis ◽

10.1016/0047-259x(91)90063-8 ◽

1991 ◽

Vol 36 (2) ◽

pp. 297-313 ◽

Cited By ~ 2

Author(s):

Konrad Joos

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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On the Rate of Convergence in the Central Limit Theorem for Weakly Dependent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1136092 ◽

1992 ◽

Vol 36 (4) ◽

pp. 783-792 ◽

Cited By ~ 7

Author(s):

T. M. Zuparov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Estimate of the rate of convergence in the central limit theorem inl p spaces

Lithuanian Mathematical Journal ◽

10.1007/bf00970257 ◽

1981 ◽

Vol 21 (1) ◽

pp. 55-62

Author(s):

V. Paulauskas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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