Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Variogram calculations for random fields on regular lattices using quadrature methods
We discuss a numerical algorithm for calculating a large class of analytically intractable theoretical variogram functions that arise in studies of random fields on regular lattices. Examples of these random fields include conditional and intrinsic autoregressions, fractional Laplacian differenced random fields, and regular block averages of continuum random fields. Typically, the variogram functions for these random fields appear in the form of multi‐dimensional integrals, often with singularities at the origin, and the algorithm laid out to evaluate these integrals invoke certain quadrature rules and regression formulas based on the asymptotic expansions of these integrals. This is so that singularities at the origin can be accounted for in a straightforward manner. This numerical algorithm opens new avenues to advancing geostatistical data analysis, solving kriging and estimation problems and exploring properties for various lattice‐based random fields. The usefulness of this numerical method is illustrated by fitting certain theoretical variogram functions to ocean color and the Walker Lake data. Copyright © 2016 John Wiley & Sons, Ltd.
Variogram calculations for random fields on regular lattices using quadrature methods
We discuss a numerical algorithm for calculating a large class of analytically intractable theoretical variogram functions that arise in studies of random fields on regular lattices. Examples of these random fields include conditional and intrinsic autoregressions, fractional Laplacian differenced random fields, and regular block averages of continuum random fields. Typically, the variogram functions for these random fields appear in the form of multi‐dimensional integrals, often with singularities at the origin, and the algorithm laid out to evaluate these integrals invoke certain quadrature rules and regression formulas based on the asymptotic expansions of these integrals. This is so that singularities at the origin can be accounted for in a straightforward manner. This numerical algorithm opens new avenues to advancing geostatistical data analysis, solving kriging and estimation problems and exploring properties for various lattice‐based random fields. The usefulness of this numerical method is illustrated by fitting certain theoretical variogram functions to ocean color and the Walker Lake data. Copyright © 2016 John Wiley & Sons, Ltd.
Variogram calculations for random fields on regular lattices using quadrature methods
Dutta, Somak (Autor:in) / Mondal, Debashis (Autor:in)
Environmetrics ; 27 ; 380-395
01.11.2016
16 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Long memory conditional random fields on regular lattices
| Wiley | 2023
Optimal Designs for Variogram Estimation
| Online Contents | 1999
Multivariate quantification of landscape spatial heterogeneity using variogram models
| Online Contents | 2008
Accurate estimation of rock joint roughness using variogram method
| British Library Conference Proceedings | 1999
| British Library Conference Proceedings | 2001