On the rate of convergence in the central limit theorem for sequences of weakly dependent Hilbert-valued random variables

A. N. Tikhomirov

doi:10.1007/bf02365095

On the rate of convergence in the central limit theorem for sequences of weakly dependent Hilbert-valued random variables

Journal of Mathematical Sciences ◽

10.1007/bf02365095 ◽

1995 ◽

Vol 75 (5) ◽

pp. 1985-1985

Author(s):

A. N. Tikhomirov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent

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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 convergence rate in the central limit theorem for weakly dependent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf01053921 ◽

1977 ◽

Vol 17 (3) ◽

pp. 313-320 ◽

Cited By ~ 1

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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

Theory of Probability and Its Applications ◽

10.1137/1125092 ◽

1981 ◽

Vol 25 (4) ◽

pp. 790-809 ◽

Cited By ~ 65

Author(s):

A. N. Tikhomirov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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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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The convergence of moments in the central limit theorem for weakly dependent random variables

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496159668 ◽

1983 ◽

Vol 7 (1) ◽

pp. 147-156

Author(s):

Ryozo Yokoyama

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Convergence Of Moments ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Rate of Convergence in the Central Limit Theorem for Fields of Associated Random Variables

Theory of Probability and Its Applications ◽

10.1137/1140010 ◽

1996 ◽

Vol 40 (1) ◽

pp. 136-144 ◽

Cited By ~ 10

Author(s):

A. V. Bulinskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Associated Random Variables ◽

The Central Limit Theorem

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Rate of convergence in the central limit theorem for random variables with strong mixing

Lithuanian Mathematical Journal ◽

10.1007/bf00970405 ◽

1985 ◽

Vol 24 (2) ◽

pp. 182-190 ◽

Cited By ~ 14

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Strong Mixing ◽

The Central Limit Theorem

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Remarks on the central limit theorem for weakly dependent random variables

Stochastic Processes — Mathematics and Physics - Lecture Notes in Mathematics ◽

10.1007/bfb0080211 ◽

1986 ◽

pp. 104-118 ◽

Cited By ~ 5

Author(s):

Detlef Dürr ◽

Sheldon Goldstein

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables

Lithuanian Mathematical Journal ◽

10.1007/s10986-018-9391-6 ◽

2018 ◽

Vol 58 (2) ◽

pp. 219-234 ◽

Cited By ~ 1

Author(s):

Jonas Kazys Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Random Sums ◽

The Central Limit Theorem ◽

Strongly Mixing ◽

Strongly Mixing Random Variables ◽

Mixing Random Variables

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On a lower bound of the rate of convergence in the central limit theorem form-dependent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf02465362 ◽

1997 ◽

Vol 37 (3) ◽

pp. 291-299 ◽

Cited By ~ 2

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Lower Bound ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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