The Central Limit Theorem for Weakly Dependent Banach-Valued Variables

S. V. Ermakov; E. I. Ostrovskii

doi:10.1137/1130045

The Central Limit Theorem for Weakly Dependent Banach-Valued Variables

Theory of Probability and Its Applications ◽

10.1137/1130045 ◽

1986 ◽

Vol 30 (2) ◽

pp. 391-394

Author(s):

S. V. Ermakov ◽

E. I. Ostrovskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

The Central Limit Theorem ◽

Weakly Dependent

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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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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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The Central Limit Theorem for Some Weakly Dependent Sequences

Theory of Probability and Its Applications ◽

10.1137/1115073 ◽

1970 ◽

Vol 15 (4) ◽

pp. 649-666 ◽

Cited By ~ 3

Author(s):

V. F. Gaposhkin

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

The Central Limit Theorem ◽

Weakly Dependent Sequences ◽

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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The Central Limit Theorem for Generalized U-Statistics for Weakly Dependent Vectors

Theory of Probability and Its Applications ◽

10.1137/1138042 ◽

1994 ◽

Vol 38 (3) ◽

pp. 456-469 ◽

Cited By ~ 8

Author(s):

Sh. A. Khashimov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

U Statistics ◽

The Central Limit Theorem ◽

Weakly Dependent

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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 central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient

Stochastic Processes and their Applications ◽

10.1016/0304-4149(92)90034-n ◽

1992 ◽

Vol 42 (2) ◽

pp. 181-193 ◽

Cited By ~ 8

Author(s):

Magda Peligrad

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Strong Mixing ◽

Mixing Coefficient ◽

The Central Limit Theorem ◽

Weakly Dependent Sequences ◽

Weakly Dependent

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