The Schoenberg kernel and more flexible multivariate covariance models in Euclidean spaces

DOI10.1007/s40314-023-02275-0zbMath1524.42015MaRDI QIDQ6044739

Xavier Emery, Emilio Porcu

Publication date: 22 May 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schoenberg measurematrix-valued covariancemultivariate Cauchy covariancemultivariate hypergeometric covariancemultivariate Matérn covariance

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Geostatistics (86A32) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (1)

Matrix-valued isotropic covariance functions with local extrema

Cites Work

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• Cross-covariance functions for multivariate geostatistics
• On the flexibility of multivariate covariance models: comment on the paper by Genton and Kleiber
• Multivariate and multiradial Schoenberg measures with their dimension walks
• Characterization theorems for some classes of covariance functions associated to vector valued random fields
• Rational extension of the Newton diagram for the positivity of \({}_1F_2\) hypergeometric functions and Askey-Szegö problem
• New validity conditions for the multivariate Matérn coregionalization model, with an application to exploration geochemistry
• Hyperbolic Vector Random Fields with Hyperbolic Direct and Cross Covariance Functions
• Geostatistics
• A Valid Matérn Class of Cross-Covariance Functions for Multivariate Random Fields With Any Number of Components
• Algorithm 1013
• Matérn Cross-Covariance Functions for Multivariate Random Fields
• Dimension walks and Schoenberg spectral measures

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