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

Download Full-text

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 ◽

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem ◽

Weakly Dependent

Download Full-text

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 ◽

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

Download Full-text

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 ◽

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

Download Full-text

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 ◽

Author(s):

Lothar Heinbich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Fields ◽

Special Class ◽

The Central Limit Theorem

Download Full-text

Asymptotic behavior of the remainder term in the central limit theorem

Lithuanian Mathematical Journal ◽

10.1007/bf01651122 ◽

1977 ◽

Vol 17 (2) ◽

pp. 258-263

Author(s):

L. V. Rozovsky

Keyword(s):

Asymptotic Behavior ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Remainder Term ◽

The Central Limit Theorem

Download Full-text

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 ◽

Author(s):

A. V. Bulinskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem ◽

Vector Valued ◽

Statistical Version

Download Full-text

Asymptotic Expansions in the Central Limit Theorem for a Special Class ofm-Dependent Random Fields II – Lattice Case

Mathematische Nachrichten ◽

10.1002/mana.19901450124 ◽

1990 ◽

Vol 145 (1) ◽

pp. 309-327 ◽

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Fields ◽

Special Class ◽

The Central Limit Theorem

Download Full-text

On the Central Limit Theorem for Stationary Mixing Random Fields

The Annals of Probability ◽

10.1214/aop/1176993726 ◽

1982 ◽

Vol 10 (4) ◽

pp. 1047-1050 ◽

Author(s):

E. Bolthausen

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

The Central Limit Theorem ◽

Mixing Random Fields

Download Full-text

Moment inequalities and the central limit theorem for integrals of random fields with mixing

Journal of Soviet Mathematics ◽

10.1007/bf01663454 ◽

1987 ◽

Vol 36 (4) ◽

pp. 461-467 ◽

Author(s):

V. V. Gorodetskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Fields ◽

Moment Inequalities ◽

The Central Limit Theorem

Download Full-text

Asymptotic Behavior of Rényi Entropy in the Central Limit Theorem

Progress in Probability - High Dimensional Probability VIII ◽

10.1007/978-3-030-26391-1_11 ◽

2019 ◽

pp. 169-200

Author(s):

Sergey G. Bobkov ◽

Arnaud Marsiglietti

Keyword(s):

Asymptotic Behavior ◽

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Renyi Entropy ◽

Rényi Entropy ◽

The Central Limit Theorem

Download Full-text