Cross-covariance functions for multivariate geostatistics

MG Genton, W Kleiber - 2015 - projecteuclid.org
Continuously indexed datasets with multiple variables have become ubiquitous in the
geophysical, ecological, environmental and climate sciences, and pose substantial analysis …

Nonstationary multivariate process modeling through spatially varying coregionalization

AE Gelfand, AM Schmidt, S Banerjee, CF Sirmans - Test, 2004 - Springer
Abstract Models for the analysis of multivariate spatial data are receiving increased attention
these days. In many applications it will be preferable to work with multivariate spatial …

Regression‐based covariance functions for nonstationary spatial modeling

MD Risser, CA Calder - Environmetrics, 2015 - Wiley Online Library
In many environmental applications involving spatially‐referenced data, limitations on the
number and locations of observations motivate the need for practical and efficient models for …

Multivariate spatial modeling for geostatistical data using convolved covariance functions

A Majumdar, AE Gelfand - Mathematical Geology, 2007 - Springer
Soil pollution data collection typically studies multivariate measurements at sampling
locations, eg, lead, zinc, copper or cadmium levels. With increased collection of such …

Space-time covariance structures and models

W Chen, MG Genton, Y Sun - Annual Review of Statistics and Its …, 2021 - annualreviews.org
In recent years, interest has grown in modeling spatio-temporal data generated from
monitoring networks, satellite imaging, and climate models. Under Gaussianity, the …

[HTML][HTML] Nonstationary modeling for multivariate spatial processes

W Kleiber, D Nychka - Journal of Multivariate Analysis, 2012 - Elsevier
We derive a class of matrix valued covariance functions where the direct and cross-
covariance functions are Matérn. The parameters of the Matérn class are allowed to vary …

Meta-kriging: Scalable Bayesian modeling and inference for massive spatial datasets

R Guhaniyogi, S Banerjee - Technometrics, 2018 - Taylor & Francis
Spatial process models for analyzing geostatistical data entail computations that become
prohibitive as the number of spatial locations becomes large. There is a burgeoning …

Constructing and fitting models for cokriging and multivariable spatial prediction

JM Ver Hoef, RP Barry - Journal of Statistical Planning and Inference, 1998 - Elsevier
We consider best linear unbiased prediction for multivariable data. Minimizing mean-
squared-prediction errors leads to prediction equations involving either covariances or …

Cross-covariance functions for multivariate random fields based on latent dimensions

TV Apanasovich, MG Genton - Biometrika, 2010 - academic.oup.com
The problem of constructing valid parametric cross-covariance functions is challenging. We
propose a simple methodology, based on latent dimensions and existing covariance models …

Geostatistics for compositional data: an overview

R Tolosana-Delgado, U Mueller… - Mathematical …, 2019 - Springer
This paper presents an overview of results for the geostatistical analysis of collocated
multivariate data sets, whose variables form a composition, where the components …