On the Convergence Rate in the Central Limit Theorem in Hilbert Space

F. A. Aliev

doi:10.1137/1134037

On the Convergence Rate in the Central Limit Theorem in Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1134037 ◽

1990 ◽

Vol 34 (2) ◽

pp. 361-363

Author(s):

F. A. Aliev

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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

A Lower Bound for the Convergence Rate in the Central Limit Theorem in Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1131104 ◽

1987 ◽

Vol 31 (4) ◽

pp. 730-733 ◽

Cited By ~ 2

Author(s):

F. A. Aliev

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Lower Bound ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

On an Estimate of the Convergence Rate in the Central Limit Theorem in Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1134039 ◽

1990 ◽

Vol 34 (2) ◽

pp. 366-366 ◽

Cited By ~ 2

Author(s):

V. V. Senatov

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

On More Precise Convergence Rate Estimates in the Central Limit Theorem

Theory of Probability and Its Applications ◽

10.1137/1123080 ◽

1979 ◽

Vol 23 (3) ◽

pp. 660-663 ◽

Cited By ~ 9

Author(s):

V. V. Ul’yanov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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

On the Dependence of Estimates of the Convergence Rate in the Central Limit Theorem for Balls with Center at Zero on the Covariance Operator of the Summands

Theory of Probability and Its Applications ◽

10.1137/1131013 ◽

1987 ◽

Vol 31 (1) ◽

pp. 119-122 ◽

Cited By ~ 1

Author(s):

V. V. Senatov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Covariance Operator ◽

The Central Limit Theorem

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

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

AN IMPROVED NONUNIFORM CONVERGENCE RATE ESTIMATE IN THE CENTRAL LIMIT THEOREM IN Rk

Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics, Turku, Finland, August 13–16, 1991 ◽

10.1515/9783112314203-017 ◽

1993 ◽

pp. 209-222

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Rate Estimate ◽

Convergence Rate Estimate ◽

The Central Limit Theorem

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