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Wiley Interdisciplinary Reviews Computational Statistics
Article . 2018 . Peer-reviewed
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zbMATH Open
Article . 2018
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Spatial modeling with R‐INLA: A review

Spatial modeling with R-INLA: a review
Authors: Bakka, Haakon; Rue, Håvard; Fuglstad, Geir-Arne; Riebler, Andrea; Bolin, David; Illian, Janine; Krainski, Elias; +2 Authors

Spatial modeling with R‐INLA: A review

Abstract

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‐sized datasets from scratch is time‐consuming, and if changes are made to the model, there is little guarantee that the code performs well. The key advantages of R‐INLA are the ease with which complex models can be created and modified, without the need to write complex code, and the speed at which inference can be done even for spatial problems with hundreds of thousands of observations. R‐INLA handles latent Gaussian models, where fixed effects, structured and unstructured Gaussian random effects are combined linearly in a linear predictor, and the elements of the linear predictor are observed through one or more likelihoods. The structured random effects can be both standard areal model such as the Besag and the BYM models, and geostatistical models from a subset of the Matérn Gaussian random fields. In this review, we discuss the large success of spatial modeling with R‐INLA and the types of spatial models that can be fitted, we give an overview of recent developments for areal models, and we give an overview of the stochastic partial differential equation (SPDE) approach and some of the ways it can be extended beyond the assumptions of isotropy and separability. In particular, we describe how slight changes to the SPDE approach leads to straight‐forward approaches for nonstationary spatial models and nonseparable space–time models.This article is categorized under:Statistical and Graphical Methods of Data Analysis > Bayesian Methods and TheoryStatistical Models > Bayesian ModelsData: Types and Structure > Massive Data

Countries
Saudi Arabia, United Kingdom
Keywords

Laplace approximations, stochastic partial differential equations, Approximate Bayesian inference, sparse matrices, Stochastic partial differential equations, Gaussian Markov random fields, 510, spatial statistics, approximate Bayesian inference, Sparse matrices, QA Mathematics, QA, Computational methods for problems pertaining to statistics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
303
Top 0.1%
Top 1%
Top 1%
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bronze