Berry-Esseen type theorems and the uniform law of the iterated logarithm for LPQD processes

DOI10.1016/j.spl.2015.07.012zbMath1329.60038OpenAlexW2238981806MaRDI QIDQ900556

Yong-Kab Choi, Hee-Jin Moon

Publication date: 22 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.07.012

zbMATH Keywords

law of the iterated logarithmlinearly positive quadrant dependenceBerry-Esseen type theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Large deviations (60F10) Sample path properties (60G17)

Cites Work

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• Limsup results and a uniform LIL for partial sums of an LNQD sequence
• Limsup results and LIL for partial sum processes of a Gaussian random field
• Exact convergence rates in strong approximation laws for large increments of partial sums
• Normal fluctuations and the FKG inequalities
• A functional central limit theorem for positively dependent random variables
• How big are the increments of a Wiener process?
• How big are the increments of a two-parameter Gaussian process?
• Some limit theorems for fractional Lévy Brownian fields
• The law of the iterated logarithm for positively dependent random variables
• Some limit theorems on the increments of \(\ell^p\)-valued multi-parameter Gaussian processes
• Some Concepts of Dependence