Moment convergence and the law of iterated logarithm for additive functions

István Berkes; Michel Weber

doi:10.4064/aa123-1-3

Moment convergence and the law of iterated logarithm for additive functions

Acta Arithmetica ◽

10.4064/aa123-1-3 ◽

2006 ◽

Vol 123 (1) ◽

pp. 43-55

Author(s):

István Berkes ◽

Michel Weber

Keyword(s):

Law Of Iterated Logarithm ◽

Additive Functions ◽

Moment Convergence ◽

Iterated Logarithm ◽

The Law

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Precise Rates in the Law of Iterated Logarithm for the Moment Convergence of φ-Mixing Sequences

Mathematica Slovaca ◽

10.1515/ms-2015-0107 ◽

2015 ◽

Vol 65 (6) ◽

Cited By ~ 1

Author(s):

Xiao-Yong Xiao ◽

Hong-Wei Yin

Keyword(s):

Law Of Iterated Logarithm ◽

Moment Convergence ◽

Iterated Logarithm ◽

The Law ◽

Mixing Sequences ◽

The Moment

AbstractLet {X

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Moment convergence rates in the law of iterated logarithm for moving average process under dependence

Journal of Inequalities and Applications ◽

10.1186/s13660-016-1190-1 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Yayun Zhang ◽

Qunying Wu

Keyword(s):

Convergence Rates ◽

Moving Average ◽

Law Of Iterated Logarithm ◽

Average Process ◽

Moving Average Process ◽

Moment Convergence ◽

Iterated Logarithm ◽

The Law

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Precise asymptotics in the law of iterated logarithm for the first moment convergence of i.i.d. random variables

Statistics & Probability Letters ◽

10.1016/j.spl.2012.04.019 ◽

2012 ◽

Vol 82 (8) ◽

pp. 1590-1596 ◽

Cited By ~ 1

Author(s):

Xiaoyong Xiao ◽

Hongwei Yin

Keyword(s):

Random Variables ◽

Law Of Iterated Logarithm ◽

Precise Asymptotics ◽

Moment Convergence ◽

Iterated Logarithm ◽

The Law ◽

First Moment

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From the Strong Law of Large Numbers to the Law of Iterated Logarithm

Random Walk in Random and Non-Random Environments ◽

10.1142/9789814439237_0004 ◽

1990 ◽

pp. 27-32

Keyword(s):

Law Of Large Numbers ◽

Law Of Iterated Logarithm ◽

Strong Law ◽

Iterated Logarithm ◽

Large Numbers ◽

The Law

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The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds

Latin American Journal of Probability and Mathematical Statistics ◽

10.30757/alea.v13-26 ◽

2016 ◽

Vol 13 (1) ◽

pp. 659 ◽

Cited By ~ 1

Author(s):

Ehsan Azmoodeh ◽

Giovanni Peccati ◽

Guillaume Poly

Keyword(s):

Law Of Iterated Logarithm ◽

Iterated Logarithm ◽

The Law

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The Law of Iterated Logarithm

Theory of U-Statistics ◽

10.1007/978-94-017-3515-5_10 ◽

1994 ◽

pp. 443-460

Author(s):

V. S. Koroljuk ◽

Yu. V. Borovskich

Keyword(s):

Law Of Iterated Logarithm ◽

Iterated Logarithm ◽

The Law

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ON THE INVARIANCE PRINCIPLE AND THE LAW OF ITERATED LOGARITHM FOR STATIONARY PROCESSES

Mathematical Physics and Stochastic Analysis ◽

10.1142/9789812792167_0034 ◽

2000 ◽

pp. 424-438 ◽

Cited By ~ 5

Author(s):

DALIBOR VOLNÝ ◽

PAVEL SAMEK

Keyword(s):

Invariance Principle ◽

Law Of Iterated Logarithm ◽

Stationary Processes ◽

Iterated Logarithm ◽

The Law

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The Law of Iterated Logarithm of Rescaled Range Statistics for AR(1) Model

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0553-1 ◽

2005 ◽

Vol 22 (2) ◽

pp. 535-544 ◽

Cited By ~ 7

Author(s):

Zheng Yan Lin ◽

Sung Chul Lee

Keyword(s):

Law Of Iterated Logarithm ◽

Iterated Logarithm ◽

Rescaled Range ◽

The Law

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Some asymptotic results related to the law of iterated logarithm for Brownian motion

Journal of Theoretical Probability ◽

10.1007/bf02218048 ◽

1995 ◽

Vol 8 (3) ◽

pp. 643-667 ◽

Cited By ~ 1

Author(s):

Terence Chan

Keyword(s):

Brownian Motion ◽

Law Of Iterated Logarithm ◽

Asymptotic Results ◽

Iterated Logarithm ◽

The Law

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Deviation inequalities and the law of iterated logarithm on the path space over a loop group

Stochastics ◽

10.1080/17442500500412399 ◽

2005 ◽

Vol 77 (6) ◽

pp. 515-536

Author(s):

Nicolas Privault ◽

Xicheng Zhang

Keyword(s):

Loop Group ◽

Path Space ◽

Law Of Iterated Logarithm ◽

Iterated Logarithm ◽

Deviation Inequalities ◽

The Law

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