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

Lothar Heinbich

doi:10.1002/mana.19871340106

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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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 ◽

Cited By ~ 7

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Fields ◽

Special Class ◽

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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A Leading Term Approach to Asymptotic Expansions in the Central Limit Theorem

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-49.3.423 ◽

1984 ◽

Vol s3-49 (3) ◽

pp. 423-444 ◽

Cited By ~ 1

Author(s):

Peter Hall

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem ◽

Leading Term

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Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19851220115 ◽

1985 ◽

Vol 122 (1) ◽

pp. 151-155 ◽

Cited By ~ 10

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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Asymptotic expansions based on smooth functions in the central limit theorem

Probability Theory and Related Fields ◽

10.1007/bf00699108 ◽

1986 ◽

Vol 72 (2) ◽

pp. 289-303 ◽

Cited By ~ 21

Author(s):

A. D. Barbour

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Smooth Functions ◽

The Central Limit Theorem

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Asymptotic Expansions in the Central Limit Theorem

Theory of Probability and Its Applications ◽

10.1137/1120086 ◽

1976 ◽

Vol 20 (4) ◽

pp. 794-804

Author(s):

L. V. Rozovskii

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

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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Speeds of Convergence and Asymptotic Expansions in the Central Limit Theorem: A Treatment by Operators

The Annals of Probability ◽

10.1214/aop/1176994777 ◽

1980 ◽

Vol 8 (2) ◽

pp. 281-297 ◽

Cited By ~ 5

Author(s):

T. J. Sweeting

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

The Central Limit Theorem

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Non-Uniform Estimates and Asymptotic Expansions of the Remainder in the Central Limit Theorem form-Dependent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19841150102 ◽

1984 ◽

Vol 115 (1) ◽

pp. 7-20 ◽

Cited By ~ 17

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Variables ◽

Dependent Random Variables ◽

Uniform Estimates ◽

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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