A functional central limit theorem for the level measure of a Gaussian random field

DOI10.1016/j.spl.2012.11.007zbMath1266.60061OpenAlexW2056960981MaRDI QIDQ1950678

Yanyan Li

Publication date: 13 May 2013

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.11.007

zbMATH Keywords

functional central limit theoremlevel setsexcursion setsGaussian random fieldsRice formula

Mathematics Subject Classification ID

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

Related Items (3)

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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