Functional central limit theorem for excursion set volumes of quasi-associated random fields

DOI10.1007/s10958-014-2187-2zbMath1359.60044OpenAlexW1966351453MaRDI QIDQ906007

V. P. Demichev

Publication date: 28 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2187-2

zbMATH Keywords

covariance functionexcursion set volumesquasi-associated random fields

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Reduction principle for functionals of vector random fields ⋮ Reduction principle for functionals of strong-weak dependent vector random fields

Cites Work

• Unnamed Item
• Unnamed Item
• Central limit theorems for the excursion set volumes of weakly dependent random fields
• Functional central limit theorem for the volume of excursion sets generated by associated random fields
• Weak convergence for weighted empirical processes of dependent sequences
• A general moment inequality for the maximum of the rectangular partial sums of multiple series
• Level Sets and Extrema of Random Processes and Fields
• Quasi-associatedness of a Gaussian system of random vectors
• Random Fields and Geometry
• Normal approximation for quasi-associated random fields

This page was built for publication: Functional central limit theorem for excursion set volumes of quasi-associated random fields