A moment inequality of the Marcinkiewicz–Zygmund type for some weakly dependent random fields

Statistics & Probability Letters ◽

10.1016/j.spl.2010.07.011 ◽

2010 ◽

Vol 80 (21-22) ◽

pp. 1673-1679 ◽

Author(s):

Lionel Truquet

Keyword(s):

Random Fields ◽

Moment Inequality ◽

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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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

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Central Limit Theorems for Weakly Dependent Random Fields

Stochastic Geometry, Spatial Statistics and Random Fields - Lecture Notes in Mathematics ◽

10.1007/978-3-642-33305-7_10 ◽

2012 ◽

pp. 337-383 ◽

Author(s):

Alexander Bulinski ◽

Evgeny Spodarev

Keyword(s):

Central Limit ◽

Random Fields ◽

Limit Theorems ◽

Central Limit Theorems ◽

Weakly Dependent

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Maximal Inequality for Weakly Dependent Random Fields

Mathematical Notes ◽

10.1023/b:matn.0000030979.18805.3d ◽

2004 ◽

Vol 75 (5/6) ◽

pp. 717-725 ◽

Author(s):

A. P. Shashkin

Keyword(s):

Random Fields ◽

Maximal Inequality ◽

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 ◽

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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On the Large Deviation Principle for Stationary Weakly Dependent Random Fields

The Annals of Probability ◽

10.1214/aop/1176989815 ◽

1992 ◽

Vol 20 (2) ◽

pp. 1004-1030 ◽

Author(s):

Wlodzimierz Bryc

Keyword(s):

Random Fields ◽

Large Deviation Principle ◽

Large Deviation ◽

Deviation Principle ◽

Weakly Dependent

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Almost sure convergence of kernel density estimators for weakly dependent random fields

Russian Mathematical Surveys ◽

10.1070/rm2006v061n01abeh004307 ◽

2006 ◽

Vol 61 (1) ◽

pp. 176-178

Author(s):

N V Millionshchikov

Keyword(s):

Random Fields ◽

Almost Sure Convergence ◽

Kernel Density ◽

Kernel Density Estimators ◽

Weakly Dependent ◽

Density Estimators

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On Extreme Values in Stationary Weakly Dependent Random Fields

Applied Condition Monitoring - Cyclostationarity: Theory and Methods – IV ◽

10.1007/978-3-030-22529-2_5 ◽

2019 ◽

pp. 92-110

Author(s):

Paul Doukhan ◽

José G. Gómez

Keyword(s):

Random Fields ◽

Extreme Values ◽

Weakly Dependent

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Asymptotic Normality of Local Averaging Estimates for Weakly Dependent Random Fields

Theory of Probability and Its Applications ◽

10.1137/s0040585x97t987272 ◽

2015 ◽

Vol 59 (3) ◽

pp. 516-526

Author(s):

A. Shashkin

Keyword(s):

Asymptotic Normality ◽

Random Fields ◽

Local Averaging ◽

Weakly Dependent

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On the spectral density and asymptotic normality of weakly dependent random fields

Journal of Theoretical Probability ◽

10.1007/bf01046741 ◽

1992 ◽

Vol 5 (2) ◽

pp. 355-373 ◽

Author(s):

Richard C. Bradley

Keyword(s):

Spectral Density ◽

Asymptotic Normality ◽

Random Fields ◽

Weakly Dependent

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