How small are the increments of partial sums of a discrete random field?

DOI10.1016/j.aml.2012.06.017zbMath1256.60014OpenAlexW1968135829MaRDI QIDQ714579

Kyo-Shin Hwang, Yong-Kab Choi

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.017

zbMATH Keywords

random fieldlinearly negative quadrant dependencelinearly positive quadrant dependencestrictly stationary random variable

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Limsup results and LIL for partial sum processes of a Gaussian random field
• On the convergence rate in the central limit theorem for associated processes
• Normal fluctuations and the FKG inequalities
• Strong limit theorems
• The law of the iterated logarithm for positively dependent random variables
• A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
• Some limit theorems on the increments of \(\ell^p\)-valued multi-parameter Gaussian processes
• Some Concepts of Dependence

This page was built for publication: How small are the increments of partial sums of a discrete random field?