Bayesian spatial modelling with R-INLA

Journal of Statistical Software

Volumn 63, Issue 19, 2015, Pages 1-25

  Lindgren, Finn ^a   Rue, Håvard ^b  

^a University of Bath   (United Kingdom)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Bayesian inference; Gaussian Markov random _elds; Laplace approximation; R; Stochastic partial differential equations

Indexed keywords

EID: 84922523495     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v063.i19     Document Type: Article

References (24)

1. Adler D, Murdoch D, others (2014). rgl: 3D Visualization Device System (OpenGL). R package version 0.93.1098, URL http://CRAN.R-project.org/package=rgl.
2. Banerjee S, Gelfand AE, Finley AO, Sang H (2008). “Gaussian Predictive Process Models for Large Spatial Datasets." Journal of the Royal Statistical Society B, 70(4), 825-848.
3. Besag J (1981). “On a System of Two-Dimensional Recurrence Equations." Journal of the Royal Statistical Society B, 43(3), 302-309.
4. Besag J, Mondal D (2005). “First-Order Intrinsic Autoregressions and the De Wijs Process." Biometrika, 92(4), 909-920.
5. Bolin D, Lindgren F (2011). “Spatial Models Generated by Nested Stochastic Partial Differential Equations, with an Application to Global Ozone Mapping." The Annals of AppliedStatistics, 5(1), 523-550.
6. Bolin D, Lindgren F (2013). “A Comparison between Markov Approximations and Other Methods for Large Spatial Data Sets." Computational Statistics & Data Analysis, 61, 7-21.
7. Bolin D, Lindgren F (2015). “Excursion and Contour Uncertainty Regions for Latent Gaussian Models." Journal of the Royal Statistical Society B, 77(1), 85-106.
8. Cameletti M, Lindgren F, Simpson D, Rue H (2013). “Spatio-Temporal Modeling of Particulate Matter Concentration through the SPDE Approach." AStA Advances in Statistical Analysis, 97(2), 109-131.
9. Cressie NAC, Johannesson G (2008). “Fixed Rank Kriging for Very Large Spatial Data Sets." Journal of the Royal Statistical Society B, 70(1), 209-226.
10. Lindgren F, Rue H, Lindström J (2011). “An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach." Journal of the Royal Statistical Society B, 73(4), 423-498.
11. Martins TG, Simpson D, Lindgren F, Rue H (2013). “Bayesian Computing with INLA: New Features." Computational Statistics & Data Analysis, 67, 68-83.
12. Nychka D, Hammerling D, Sain S, Lenssen N (2013). LatticeKrig: Multiresolution Kriging Based on Markov Random Fields. URL http://CRAN.R-project.org/package=LatticeKrig.
13. R Core Team (2014). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org/.
14. Rozanov A (1982). Markov Random Fields. Springer-Verlag, New York.
15. Rue H, Martino S, Chopin N (2009). “Approximate Bayesian Inference for Latent Gaussian Models Using Integrated Nested Laplace Approximations." Journal of the Royal Statistical Society B, 71, 319-392.
16. Rue H, Martino S, Lindgren F, Simpson D, Riebler A (2013a). Code Repository for R-INLA: Approximate Bayesian Inference Using Integrated Nested Laplace Approximations. URL http://code.google.com/p/inla/.
17. Rue H, Martino S, Lindgren F, Simpson D, Riebler A (2013b). R-INLA: Approximate Bayesian Inference Using Integrated Nested Laplace Approximations.Trondheim, Norway. URL http://www.r-inla.org/.
18. Sarkar D (2008). lattice: Multivariate Data Visualization with R. Springer-Verlag, New York.
19. Sigrist F, Kunsch HR, Stahel WA (2015). “Stochastic Partial Differential Equation Based Modelling of Large Space-Time Data Sets." Journal of the Royal Statistical Society B, 77(1), 3-33.
20. Simpson D, Lindgren F, Rue H (2012a). “In Order to Make Spatial Statistics Computationally Feasible, We Need to Forget about the Covariance Function." Environmetrics, 23(1), 65-74.
21. Simpson D, Lindgren F, Rue H (2012b). “Think Continuous: Markovian Gaussian Models in Spatial Statistics." Spatial Statistics, 1, 16-29.
22. Whittle P (1954). “On Stationary Processes in the Plane." Biometrika, 41(3/4), 434-449.
23. Whittle P (1963). “Stochastic Processes in Several Dimensions." Bulletin of the International Statistical Institute, 40, 974-994.
24. Wikle CK (2010). “Low-Rank Representations for Spatial Processes." In AE Gelfand, PJ Diggle, M Fuentes, P Guttorp (eds.), Handbook of Spatial Statistics, pp. 107-118. Chapman & Hall/CRC, Boca Raton.