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Tail probability via the tube formula when the critical radius is zero

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Publication:1433466
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DOI10.3150/bj/1065444817zbMath1063.60078OpenAlexW2127603390MaRDI QIDQ1433466

Akimichi Takemura, Satoshi Kuriki

Publication date: 18 June 2004

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1065444817

zbMATH Keywords

second fundamental formKarhunen-Loève expansionMorse's theoremsupport conechi-square fieldEuler characteristic method


Mathematics Subject Classification ID

Random fields (60G60)


Related Items

On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains, Asymptotic formula for the tail of the maximum of smooth stationary Gaussian fields on non locally convex sets, Construction of conservative test for change-point problem in two-dimensional random fields, Convergence of the reach for a sequence of Gaussian-embedded manifolds, Approximate tail probabilities of the maximum of a chi-square field on multi-dimensional lattice points and their applications to detection of loci interactions, The volume-of-tube method for Gaussian random fields with inhomogeneous variance, Validity of the expected Euler characteristic heuristic



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