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Tail behavior of anisotropic norms for Gaussian random fields

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Publication:1871543
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DOI10.1016/S1631-073X(02)00013-4zbMath1023.60047MaRDI QIDQ1871543

Yakov Yu. Nikitin, Alexander I. Nazarov, Mikhail Lifshits

Publication date: 4 November 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

Gaussian fieldsanisotropic normsintegral covariance operatorslogarithmic large deviation asymptotics


Mathematics Subject Classification ID

Random fields (60G60)


Related Items

\( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ Integral distribution-free statistics of \(L_p\)-type and their asymptotic comparison ⋮ Small ball probabilities for Gaussian random fields and tensor products of compact operators



Cites Work

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  • Comparison results for the lower tail of Gaussian seminorms
  • Schur multipliers
  • On a family of extremum problems and the properties of an integral
  • A new approach to goodness-of-fit testing based on the integrated empirical process*
  • Tests of Coordinate Independence for a Bivariate Sample on a Torus
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