A limit theorem for random fields with a singularity in the spectrum

DOI10.1090/S0094-9000-2011-00816-2zbMath1224.60115MaRDI QIDQ5391430

B. M. Klykavka, Andrew Ya. Olenko

Publication date: 6 April 2011

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

zbMATH Keywords

random fieldspectral functionlimit theoremlong range dependenceintegral weight functional

Mathematics Subject Classification ID

Random fields (60G60) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Limit theorems for filtered long-range dependent random fields ⋮ Asymptotic behavior of functionals of cyclic long-range dependent random fields ⋮ Weak convergence of weighted additive functionals of long-range dependent fields

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