Spherical process models for global spatial statistics
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Publication:1704699
DOI10.1214/17-STS620zbMath1381.62091OpenAlexW2769699315WikidataQ93085931 ScholiaQ93085931MaRDI QIDQ1704699
Mikyoung Jun, Marc G. Genton, Jaehong Jeong
Publication date: 13 March 2018
Published in: Statistical Science (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ss/1511838025
Directional data; spatial statistics (62H11) Applications of statistics to environmental and related topics (62P12) Analysis of variance and covariance (ANOVA) (62J10)
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Cites Work
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- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- A comparison of spatial predictors when datasets could be very large
- Strictly and non-strictly positive definite functions on spheres
- Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions
- Global space-time models for climate ensembles
- Nonstationary modeling for multivariate spatial processes
- Stationary and isotropic vector random fields on spheres
- Isotropic variogram matrix functions on spheres
- Spatial models generated by nested stochastic partial differential equations, with an application to global ozone mapping
- Characterization theorems for some classes of covariance functions associated to vector valued random fields
- On the validity of commonly used covariance and variogram functions on the sphere
- From Schoenberg to Pick-Nevanlinna: toward a complete picture of the variogram class
- Some theory for anisotropic processes on the sphere
- Time varying axially symmetric vector random fields on the sphere
- Isotropic covariance matrix functions on all spheres
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- Isotropic covariance functions on spheres: some properties and modeling considerations
- Spatial variation of total column ozone on a global scale
- Nonstationary covariance models for global data
- Correlation theory of stationary and related random functions. Volume I: Basic results
- Simple tests for the validity of correlation function models on the circle
- Interpolation of spatial data. Some theory for kriging
- Reducing storage of global wind ensembles with stochastic generators
- Time varying isotropic vector random fields on spheres
- Comparing and selecting spatial predictors using local criteria
- Matérn-based nonstationary cross-covariance models for global processes
- Positive definite functions on spheres
- Stochastic representations of isotropic vector random fields on spheres
- Hyperbolic Vector Random Fields with Hyperbolic Direct and Cross Covariance Functions
- Non-stationary Cross-Covariance Models for Multivariate Processes on a Globe
- Random Fields on the Sphere
- Modeling Tangential Vector Fields on a Sphere
- Isotropic covariance matrix polynomials on spheres
- Spline Interpolation and Smoothing on the Sphere
- Fixed Rank Kriging for Very Large Spatial Data Sets
- On a new condition for strictly positive definite functions on spheres
- Nonseparable, Stationary Covariance Functions for Space–Time Data
- Estimation of Global Temperature Fields from Scattered Observations by a Spherical-Wavelet-Based Spatially Adaptive Method
- Multiscale Representation and Analysis of Spherical Data by Spherical Wavelets
- Student'stVector Random Fields with Power-Law and Log-Law Decaying Direct and Cross Covariances
- A Valid Matérn Class of Cross-Covariance Functions for Multivariate Random Fields With Any Number of Components
- Isotropic correlation functions on d-dimensional balls
- Matérn Cross-Covariance Functions for Multivariate Random Fields
- Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics
- Stochastic Processes on a Sphere