Stationary and isotropic vector random fields on spheres

DOI10.1007/s11004-012-9411-8zbMath1321.62117OpenAlexW2021885530MaRDI QIDQ500640

Chunsheng Ma

Publication date: 5 October 2015

Published in: Mathematical Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11004-012-9411-8

zbMATH Keywords

positive definite matrixGaussian random fieldcovariance matrix functioncross covariancedirect covarianceelliptically contoured random fieldabsolutely monotone functionGegenbauer's polynomials

Mathematics Subject Classification ID

Random fields; image analysis (62M40)

Related Items (19)

Excursion probability of Gaussian random fields on sphere ⋮ Gaussian random fields on the sphere and sphere cross line ⋮ Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces ⋮ Isotropic covariance matrix polynomials on spheres ⋮ Notes on spherical bifractional Brownian motion ⋮ Isotropic covariance matrix functions on all spheres ⋮ Time varying isotropic vector random fields on spheres ⋮ Isotropic covariance functions on spheres: some properties and modeling considerations ⋮ Spherical process models for global spatial statistics ⋮ Isotropic variogram matrix functions on spheres ⋮ Strictly positive definite multivariate covariance functions on spheres ⋮ Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem ⋮ Time varying axially symmetric vector random fields on the sphere ⋮ Series representations of isotropic vector random fields on balls ⋮ Multivariate isotropic random fields on spheres: nonparametric Bayesian modeling and \(L^p\) fast approximations ⋮ Stochastic representations of isotropic vector random fields on spheres ⋮ Positive definite matrix functions on spheres defined by hypergeometric functions ⋮ Cross-covariance functions for multivariate geostatistics ⋮ Covariance Matrix Functions of Isotropic Vector Random Fields

Cites Work

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• A spatial model for multivariate lattice data
• Variogram matrix functions for vector random fields with second-order increments
• A spatial analysis of multivariate output from regional climate models
• On the validity of commonly used covariance and variogram functions on the sphere
• Stick balancing with reflex delay in case of parametric forcing
• Multivariate intrinsic random functions for cokriging
• High-order statistics of spatial random fields: Exploring spatial cumulants for modeling complex non-Gaussian and non-linear phenomena
• Spatial variation. 2nd ed
• Multi-dimensional multivariate Gaussian Markov random fields with application to image processing
• Spectral analysis for a random process on the sphere
• Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
• Multivariate spatial-temporal modeling and prediction of speciated fine particles
• Estimation of the covariance function of a homogeneous process on the sphere
• Positive definite functions on spheres
• Non-stationary Cross-Covariance Models for Multivariate Processes on a Globe
• Vector Random Fields with Second-Order Moments or Second-Order Increments
• Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg
• Spherically Invariant Vector Random Fields in Space and Time
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Designing and Integrating Composite Networks for Monitoring Multivariate Gaussian Pollution Fields
• Average Renewal Loss Rates
• Spectral analysis for a random process on the circle

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