Kriging, cokriging, radial basis functions and the role of positive definiteness

DOI10.1016/0898-1221(92)90176-IzbMath0765.65009MaRDI QIDQ1207565

Donald E. Myers

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

krigingradial basis functionspositive definitenesscokrigingthin plate splineregression methodinterpolators

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (13)

Multivariate intrinsic random functions for cokriging ⋮ Three-dimensional modelling of geological surfaces using generalized interpolation with radial basis functions ⋮ Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games ⋮ Theoretical investigations of the new cokriging method for variable-fidelity surrogate modeling. Well-posedness and maximum likelihood training. ⋮ A new form of the co-kriging equations ⋮ A distance-based model for spatial prediction using radial basis functions ⋮ Radial basis function approximations as smoothing splines ⋮ Space-time variograms and a functional form for total air pollution measurements. ⋮ Interpolation of spatial data – A stochastic or a deterministic problem? ⋮ Bayesian Numerical Homogenization ⋮ Cross-covariance functions for multivariate geostatistics ⋮ Vectorial interpolation using radial-basis-like functions ⋮ Space-time radial basis functions

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Spatial variation. 2nd ed
• The intrinsic random functions and their applications
• Best Linear Unbiased Prediction in the Generalized Linear Regression Model
• An application of extreme point methods to the representation of infinitely divisible distributions
• A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
• Pseudo-cross variograms, positive-definiteness, and cokriging

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