Spatial modeling with R‐INLA: A review

H Bakka, H Rue, GA Fuglstad, A Riebler… - Wiley …, 2018 - Wiley Online Library
Coming up with Bayesian models for spatial data is easy, but performing inference with them
can be challenging. Writing fast inference code for a complex spatial model with realistically …

An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

F Lindgren, H Rue, J Lindström - Journal of the Royal Statistical …, 2011 - academic.oup.com
Summary Continuously indexed Gaussian fields (GFs) are the most important ingredient in
spatial statistical modelling and geostatistics. The specification through the covariance …

The SPDE approach for Gaussian and non-Gaussian fields: 10 years and still running

F Lindgren, D Bolin, H Rue - Spatial Statistics, 2022 - Elsevier
Gaussian processes and random fields have a long history, covering multiple approaches to
representing spatial and spatio-temporal dependence structures, such as covariance …

Bayesian spatial modelling with R-INLA

F Lindgren, H Rue - Journal of statistical software, 2015 - jstatsoft.org
The principles behind the interface to continuous domain spatial models in the RINLA
software package for R are described. The integrated nested Laplace approximation (INLA) …

Statistical deep learning for spatial and spatiotemporal data

CK Wikle, A Zammit-Mangion - Annual Review of Statistics and …, 2023 - annualreviews.org
Deep neural network models have become ubiquitous in recent years and have been
applied to nearly all areas of science, engineering, and industry. These models are …

Strictly and non-strictly positive definite functions on spheres

T Gneiting - 2013 - projecteuclid.org
Supplement to “Strictly and non-strictly positive definite functions on spheres”. Appendix A
states and proves further criteria of Pólya type, thereby complementing Section 4.2 …

[KNYGA][B] Random fields for spatial data modeling

DT Hristopulos - 2020 - Springer
The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

Map** yearly fine resolution global surface ozone through the Bayesian maximum entropy data fusion of observations and model output for 1990–2017

MN DeLang, JS Becker, KL Chang… - … science & technology, 2021 - ACS Publications
Estimates of ground-level ozone concentrations are necessary to determine the human
health burden of ozone. To support the Global Burden of Disease Study, we produce yearly …

Stationary stochastic processes

G Lindgren, H Rootzén… - Theory and Applications; …, 2013 - api.taylorfrancis.com
Stationary Stochastic Processes Page 1 Lindgren Georg Lindgren Stationary Stochastic
Processes Theory and Applications Stationary Stochastic Processes Texts in Statistical Science …

30 Years of space–time covariance functions

E Porcu, R Furrer, D Nychka - Wiley Interdisciplinary Reviews …, 2021 - Wiley Online Library
In this article, we provide a comprehensive review of space–time covariance functions. As
for the spatial domain, we focus on either the d‐dimensional Euclidean space or on the unit …