Limsup results and LIL for partial sum processes of a Gaussian random field

DOI10.1007/s10114-008-6205-5zbMath1146.60026OpenAlexW1970070291MaRDI QIDQ944068

Yong-Kab Choi, Miklós Csörgő

Publication date: 12 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6205-5

zbMATH Keywords

large deviation probabilitylaw of the iterated logarithmregularly varying functionstationary Gaussian random field

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Strong limit theorems (60F15)

Related Items (4)

Limsup results and a uniform LIL for partial sums of an LNQD sequence ⋮ Berry-Esseen type theorems and the uniform law of the iterated logarithm for LPQD processes ⋮ Asymptotic results for random processes ⋮ How small are the increments of partial sums of a discrete random field?

Cites Work

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• Strong limit theorems
• Darling-Erdős-type theorems for sums of Gaussian variables with long-range dependence
• Negative association of random variables, with applications
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• Limit theorems for negatively dependent random variables.
• Asymptotic behavior of increments of random fields
• Rate of convergence of increments for random fields
• Some limit theorems on the increments of \(\ell^p\)-valued multi-parameter Gaussian processes
• On the increments of partial sum processes with multidimensional indices
• Association of Random Variables, with Applications
• Limit Theorems for the Maximum Term in Stationary Sequences

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