Estimate of the rate of convergence in the central limit theorem for m-dependent random fields

N. N. Leonenko

doi:10.1007/bf01093848

Estimate of the rate of convergence in the central limit theorem for m-dependent random fields

Mathematical Notes ◽

10.1007/bf01093848 ◽

1975 ◽

Vol 17 (1) ◽

pp. 76-78 ◽

Cited By ~ 3

Author(s):

N. N. Leonenko

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem

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A rate of convergence bound in the central limit theorem for weakly dependent homogeneous random fields

Journal of Soviet Mathematics ◽

10.1007/bf01095165 ◽

1989 ◽

Vol 44 (5) ◽

pp. 559-567 ◽

Cited By ~ 2

Author(s):

F. A. Aminev ◽

V. T. Dubrovin

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Fields ◽

Convergence Bound ◽

The Central Limit Theorem ◽

Weakly Dependent

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A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent random fields

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00531565 ◽

1981 ◽

Vol 58 (2) ◽

pp. 247-256 ◽

Cited By ~ 9

Author(s):

B. L. S. Prakasa Rao

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Fields ◽

Uniform Estimate ◽

The Central Limit Theorem

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On a Lower Bound of the Rate of Convergence in the Central Limit Theorem for m-Dependent Random Fields

Theory of Probability and Its Applications ◽

10.1137/s0040585x97976787 ◽

1999 ◽

Vol 43 (1) ◽

pp. 162-169 ◽

Cited By ~ 4

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Lower Bound ◽

Rate Of Convergence ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem

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Estimate of the rate of vonvergence in the central limit theorem for weakly dependent random fields

Lithuanian Mathematical Journal ◽

10.1007/bf01049468 ◽

1987 ◽

Vol 26 (3) ◽

pp. 272-287 ◽

Cited By ~ 9

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem ◽

Weakly Dependent

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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 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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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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