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Small deviations for Matérn random fields and processes in the Hilbert norm

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Publication:1048520
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DOI10.1134/S1064562408050372zbMath1193.60037OpenAlexW1969286992MaRDI QIDQ1048520

R. S. Pusev

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408050372


zbMATH Keywords

Matérn fieldsHilbert normMatérn process


Mathematics Subject Classification ID

Large deviations (60F10)


Related Items

\( L_2\)-small ball asymptotics for Gaussian random functions: a survey



Cites Work

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  • Spatial variation. 2nd ed
  • Comparison results for the lower tail of Gaussian seminorms
  • Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems
  • Fixed-domain asymptotics for a subclass of Matérn-type Gaussian random fields
  • Small ball probabilities for Gaussian random fields and tensor products of compact operators
  • Asymptotic Behavior of the Eigenvalues of Certain Integral Equations
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