Multivariate isotropic random fields on spheres: nonparametric Bayesian modeling and \(L^p\) fast approximations
DOI10.1214/21-EJS1842zbMath1471.62563OpenAlexW3158746882MaRDI QIDQ2044381
Publication date: 9 August 2021
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/21-ejs1842
spherenonparametric Bayesmultivariate random field\(L^p\) approximationsbivariate climate datamatrix-valued covariance function
Estimation in multivariate analysis (62H12) Statistics on manifolds (62R30) Applications of statistics to environmental and related topics (62P12) Nonparametric estimation (62G05) (L^p)-limit theorems (60F25) Climate science and climate modeling (86A08)
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- Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
- Spatial analysis of wave direction data using wrapped Gaussian processes
- Strictly and non-strictly positive definite functions on spheres
- Stationary and isotropic vector random fields on spheres
- Isotropic variogram matrix functions on spheres
- Nonparametric Bayesian models for a spatial covariance
- Isotropic covariance matrix functions on compact two-point homogeneous spaces
- Isotropic covariance matrix functions on all spheres
- Angular spectra for non-Gaussian isotropic fields
- 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
- Statistical challenges in the analysis of cosmic microwave background radiation
- Correlation theory of stationary and related random functions. Volume I: Basic results
- Weak convergence and optimal scaling of random walk Metropolis algorithms
- Nonparametric Bayesian inference in applications
- Matérn class tensor-valued random fields and beyond
- Optimal designs for regression with spherical data
- Regularity of Gaussian processes on Dirichlet spaces
- Bayesian analysis of mixture models with an unknown number of components\,--\,an alternative to reversible jump methods.
- Theory of statistics
- Schoenberg's theorem for positive definite functions on products: a unifying framework
- The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the \(d\)-sphere
- A multivariate global spatiotemporal stochastic generator for climate ensembles
- Series representations of isotropic vector random fields on balls
- A hierarchical multivariate spatio-temporal model for clustered climate data with annual cycles
- Space and circular time log Gaussian Cox processes with application to crime event data
- Thomas Bayes' walk on manifolds
- Probability theory. A comprehensive course.
- Positive definite functions on spheres
- Stochastic representations of isotropic vector random fields on spheres
- Inverse problems: A Bayesian perspective
- Random Fields on the Sphere
- Generalized Spatial Dirichlet Process Models
- Fixed Rank Kriging for Very Large Spatial Data Sets
- Gaussian Predictive Process Models for Large Spatial Data Sets
- Bayesian Inference for Non-Stationary Spatial Covariance Structure via Spatial Deformations
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Geodesic Lagrangian Monte Carlo over the space of positive definite matrices: with application to Bayesian spectral density estimation
- Modeling Space and Space-Time Directional Data Using Projected Gaussian Processes
- A TEST FOR ISOTROPY ON A SPHERE USING SPHERICAL HARMONIC FUNCTIONS
- Nonparametric Bayesian inference for the spectral density function of a random field
- Stochastic Processes on a Sphere
- Bayesian Nonparametric Spatial Modeling With Dirichlet Process Mixing
- An adaptive Metropolis algorithm
- Stochastic Equations in Infinite Dimensions
- A general framework for Vecchia approximations of Gaussian processes
- Modeling Temporally Evolving and Spatially Globally Dependent Data
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