Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields

Modern Stochastics Theory and Applications ◽

10.15559/18-vmsta121 ◽

2018 ◽

pp. 251-267

Author(s):

Davide Giraudo

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

Convergence Rates ◽

Weighted Sums ◽

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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Exact convergence rates in the central limit theorem for a class of martingales

Bernoulli ◽

10.3150/07-bej6116 ◽

2007 ◽

Vol 13 (4) ◽

pp. 981-999 ◽

Cited By ~ 10

Author(s):

M. El Machkouri ◽

L. Ouchti

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Convergence Rates ◽

The Central Limit Theorem

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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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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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Asymptotic Expansions in the Central Limit Theorem for a Special Class ofm-Dependent Random Fields. I

Mathematische Nachrichten ◽

10.1002/mana.19871340106 ◽

1987 ◽

Vol 134 (1) ◽

pp. 83-106 ◽

Cited By ~ 10

Author(s):

Lothar Heinbich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Fields ◽

Special Class ◽

The Central Limit Theorem

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On Convergence Rates in the Central Limit Theorem

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177697713 ◽

1969 ◽

Vol 40 (2) ◽

pp. 475-479 ◽

Cited By ~ 2

Author(s):

Ellen S. Hertz

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Convergence Rates ◽

The Central Limit Theorem

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CONVERGENCE RATES FOR THE CENTRAL LIMIT THEOREM

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.56.4.1062 ◽

1966 ◽

Vol 56 (4) ◽

pp. 1062-1065 ◽

Cited By ~ 15

Author(s):

N. Friedman ◽

M. Katz ◽

L. H. Koopmans

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Convergence Rates ◽

The Central Limit Theorem

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Convergence rates in the central limit theorem for stationary mixing sequences of random vectors

Journal of Multivariate Analysis ◽

10.1016/0047-259x(79)90058-7 ◽

1979 ◽

Vol 9 (4) ◽

pp. 560-578 ◽

Cited By ~ 7

Author(s):

Christian Hipp

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Convergence Rates ◽

Random Vectors ◽

The Central Limit Theorem ◽

Mixing Sequences

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On the Asymptotic Behavior in Random Fields: The Central Limit Theorem

Journal of Statistical Theory and Applications ◽

10.2991/jsta.d.190830.001 ◽

2019 ◽

Author(s):

Mohammad Mehdi Saber ◽

Zohreh Shishebor ◽

Behnam Amiri

Keyword(s):

Asymptotic Behavior ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem

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Statistical Version of the Central Limit Theorem for Vector-Valued Random Fields

Mathematical Notes ◽

10.1023/b:matn.0000043475.02039.e0 ◽

2004 ◽

Vol 76 (3/4) ◽

pp. 455-464 ◽

Cited By ~ 4

Author(s):

A. V. Bulinskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem ◽

Vector Valued ◽

Statistical Version

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