On the rates in the central limit theorem for weakly dependent random fields

Hiroshi Takahata

doi:10.1007/bf00534950

On the rates in the central limit theorem for weakly dependent random fields

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00534950 ◽

1983 ◽

Vol 64 (4) ◽

pp. 445-456 ◽

Cited By ~ 27

Author(s):

Hiroshi Takahata

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

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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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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Central limit theorem for weakly dependent random fields with values in $l_p$ ($1 \lep \le2$) and $c_0$ spaces

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-1-11 ◽

2020 ◽

Vol 2020 (1) ◽

pp. 116-122

Author(s):

D.S. Ruzieva ◽

O.Sh. Sharipov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

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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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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Non-Uniform Bounds for the Error in the Central Limit Theorem for Random Fields Generated by Functions of Independent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19901450127 ◽

1990 ◽

Vol 145 (1) ◽

pp. 345-364 ◽

Cited By ~ 3

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

Random Variables ◽

Independent Random Variables ◽

Uniform Bounds ◽

The Central Limit Theorem

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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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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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