Sojourns of multidimensional Gaussian random fields with dependent components

DOI10.1016/0898-1221(90)90088-2zbMath0697.60056OpenAlexW1994498317MaRDI QIDQ911158

Nikolai N. Leonenko

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90088-2

zbMATH Keywords

Gaussian random fieldisotropicAsymptotic distributionsvector stationary Gaussian processes

Mathematics Subject Classification ID

Random fields (60G60)

Cites Work

• Multiple Wiener-Ito integrals. With applications to limit theorems
• Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence
• Non-central limit theorems for non-linear functional of Gaussian fields
• Sojourns of vector Gaussian processes inside and outside spheres
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