Limit distributions of characteristics of exceeding a level by a Gaussian field

DOI10.1007/BF01137686zbMath0632.60047MaRDI QIDQ1095494

Nikolai N. Leonenko

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

long-range dependencefunctional of geometric typeisotropic Gaussian random field

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05)

Related Items (4)

Limit Theorems for Excursion Sets of Stationary Random Fields ⋮ Sojourn measures of Student and Fisher-Snedecor random fields ⋮ Central limit theorems for the excursion set volumes of weakly dependent random fields ⋮ Limiting theorems for sojourn measures in domains of vector-valued Gaussian random fields

Cites Work

• High level sojourns for strongly dependent Gaussian processes
• Some sojourn time problems for strongly dependent Gaussian processes
• Non-central limit theorems for non-linear functional of Gaussian fields
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