Functional Central Limit Theorem for the Measures of Level Surfaces of the Gaussian Random Field

DOI10.1137/S0040585X97985844zbMath1278.60052OpenAlexW1992541424MaRDI QIDQ5298813

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Publication date: 14 June 2013

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97985844

zbMATH Keywords

functional central limit theoremHausdorff measurelevel setsGaussian random field

Mathematics Subject Classification ID

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

Related Items (4)

A CLT concerning critical points of random functions on a Euclidean space ⋮ Limit Theorems for Excursion Sets of Stationary Random Fields ⋮ On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields ⋮ A Functional Limit Theorem for the Integrals over Level Sets of a Gaussian Random Field

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