Spatial data analysis with R-INLA with some extensions

Journal of Statistical Software

Volumn 63, Issue 20, 2015, Pages 1-31

  Bivand, Roger S ^a   Gómez Rubio, Virgilio ^b   Rue, Håvard ^c  

^a NORWEGIAN SCHOOL OF ECONOMICS   (Norway)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^c NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

INLA; R; Spatial statistics

Indexed keywords

EID: 84922532085     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v063.i20     Document Type: Article

References (47)

1. Baddeley A, Turner R (2005). “spatstat: An R Package for Analyzing Spatial Point Patterns." Journal of Statistical Software, 12(6), 1-42. URL http://www.jstatsoft.org/v12/i06/.
2. Besag J, York J, Molli_e A (1991). “Bayesian Image Restoration, with Two Applications in Spatial Statistics." Annals of the Institute of Statistical Mathematics, 43(1), 1-59.
3. Bivand R (2014). spdep: Spatial Dependence: Weighting Schemes, Statistics and Models. R package version 0.5-74, URL http://CRAN.R-project.org/package=spdep.
4. Bivand R, Keitt T, Rowlingson B (2014a). rgdal: Bindings for the Geospatial Data Abstraction Library. R package version 0.8-16, URL http://CRAN.R-project.org/package=rgdal.
5. Bivand R, Lewin-Koh N (2014). maptools: Tools for Reading and Handling Spatial Objects. R package version 0.8-30, URL http://CRAN.R-project.org/package=maptools.
6. Bivand RS, Gómez-Rubio V, Rue H (2014b). “Approximate Bayesian Inference for Spatial Econometrics Models." Spatial Statistics, 9, 146-165.
7. Bivand RS, Pebesma E, Gómez-Rubio V (2013). Applied Spatial Data Analysis with R. 2nd edition. Springer-Verlag, New York.
8. Blangiardo M, Cameletti M, Baio G, Rue H (2013). “Spatial and Spatio-Temporal Models with R-INLA." Spatial and Spatio-Temporal Epidemiology, 4, 33-49.
9. Cameletti M, Lindgren F, Simpson D, Rue H (2013). “Spatio-Temporal Modeling of Particulate Matter Concentration through the SPDE Approach." Advances in Statistical Analysis, 97(2), 109-131.
10. Christensen OF, Ribeiro PJ (2002). “geoRglm-A Package for Generalised Linear Spatial Models." R News, 2(2), 26-28. URL http://CRAN.R-project.org/doc/Rnews/.
11. Cressie NAC (1993). Statistics for Spatial Data. John Wiley & Sons, New York.
12. Diggle PJ, Ribeiro PJ (2007). Model-Based Geostatistics. Springer-Verlag, New York.
13. Eidsvik J, Finley AO, Banerjee S, Rue H (2012). “Approximate Bayesian Inference for Large Spatial Datasets Using Predictive Process Models." Computational Statistics & Data Anal-ysis, 56(6), 1362-1380.
14. Gómez-Rubio V, Bivand R (2014). INLABMA: Bayesian Model Averaging with INLA. R package version 0.1-5, URL http://CRAN.R-project.org/package=INLABMA.
15. Gómez-Rubio V, Bivand RS, Rue H (2014a). “Estimating Spatial Econometrics Models with Integrated Nested Laplace Approximation." Submitted for publication.
16. Gómez-Rubio V, Bivand RS, Rue H (2014b). “Spatial Models Using Laplace Approximation Methods." In MM Fischer, P Nijkamp (eds.), Handbook of Regional Science, pp. 1401-1417. Springer-Verlag, New York.
17. Haining R (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press, Cambridge.
18. Harrison D, Rubinfeld DL (1978). “Hedonic Housing Prices and the Demand for Clean Air." Journal of Environmental Economics and Management, 5(1), 81-102.
19. Held L, Schödle B, Rue H (2010). “Posterior and Cross-Validatory Predictive Checks: A Comparison of MCMC and INLA." In T Kneib, G Tutz (eds.), Statistical Modelling and Regression Structures-Festschrift in Honour of Ludwig Fahrmeir, pp. 91-110. Springer-Verlag, Berlin.
20. Hoeting J, Madigan D, Raftery A, Volinsky C (1999). “Bayesian Model Averaging: A Tutorial." Statistical Science, 14(4), 382-401.
21. Hossain MM, Lawson AB (2009). “Approximate Methods in Bayesian Point Process Spatial Models." Computational Statistics & Data Analysis, 53(8), 2831-2842.
22. Kahle D, Wickham H (2013). “ggmap: Spatial Visualization with ggplot2." The R Journal, 5(1), 144-162. URL http://journal.R-project.org/archive/2013-1/kahle-wickham.pdf.
23. Lee D (2013). “CARBayes: An R Package for Bayesian Spatial Modeling with Conditional Autoregressive Priors." Journal of Statistical Software, 55(13), 1-24. URL http://www.jstatsoft.org/v55/i13/.
24. Lee D, Mitchell R (2013). “Locally Adaptive Spatial Smoothing Using Conditional Auto-Regressive Models." Journal of the Royal Statistical Society C, 62(4), 593-608.
25. Leroux B, Lei X, Breslow N (1999). “Estimation of Disease Rates in Small Areas: A New Mixed Model for Spatial Dependence." In M Halloran, D Berry (eds.), Statistical Models in Epidemiology, the Environment and Clinical Trials, pp. 135-178. Springer-Verlag, New York.
26. LeSage J, Pace RK (2009). Introduction to Spatial Econometrics. Chapman & Hall/CRC, Boca Raton.
27. LeSage JP, Pace RK, Lam N, Campanella R, Liu X (2011). “New Orleans Business Recovery in the Aftermath of Hurricane Katrina." Journal of the Royal Statistical Society A, 174(4), 1007-1027.
28. Lindgren F, Rue H (2015). “Bayesian Spatial Modelling with R-INLA." Journal of Statistical Software, 63(19), 1-25. URL http://www.jstatsoft.org/v63/i19/.
29. Lindgren F, Rue H, Lindström J (2011). “An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The SPDE Approach." Journal of the Royal Statistical Society B, 73(4), 423-498.
30. Martino S, Rue H (2010). “Case Studies in Bayesian Computation Using INLA." In P Mantovan, P Secchi (eds.), Complex Data Modeling and Computationally Intensive Statistical Methods, Contributions to Statistics, pp. 99-114. Springer-Verlag, New York.
31. Neuwirth E (2014). RColorBrewer: ColorBrewer Palettes. R package version 1.1-2, URL http://CRAN.R-project.org/package=RColorBrewer.
32. Pace RK, Gilley OW (1997). “Using the Spatial Con_guration of the Data to Improve Estimation." Journal of the Real Estate Finance and Economics, 14(3), 333-340.
33. 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/.
34. Ribeiro PJ, Diggle PJ (2001). “geoR: A Package for Geostatistical Analysis." R News, 1(2), 15-18. URL http://CRAN.R-project.org/doc/Rnews/.
35. Rue H, Held L (2005). Gaussian Markov Random Fields-Theory and Applications. Chapman & Hall, New York.
36. Rue H, Martino S, Chopin N (2009). “Approximate Bayesian Inference for Latent Gaussian Models by Using Integrated Nested Laplace Approximations." Journal of the Royal Statistical Society B, 71(2), 319-392.
37. Rue H, Martino S, Lindgren F, Simpson D, Riebler A, Krainski ET (2014). INLA: Functions Which Allow to Perform a Full Bayesian Analysis of Structured Additive Models Using Integrated Nested Laplace Approximaxion. R package version 0.0-1406288160, URL http://www.r-inla.org/.
38. Ruiz-Cardenas R, Krainski ET, Rue H (2012). “Direct Fitting of Dynamic Models Using Integrated Nested Laplace Approximations-INLA." Computational Statistics & Data Analysis, 56(6), 1808-1828.
39. Schrödle B, Held L (2010). “A Primer on Disease Mapping and Ecological Regression Using INLA." Computational Statistics, 26(2), 241-258.
40. Schrödle B, Held L (2011). “Spatio-Temporal Disease Mapping Using INLA." Environmetrics, 22(6), 725-734.
41. Schrödle B, Held L, Riebler A, Danuser J (2011). “Using Integrated Nested Laplace Approximations for the Evaluation of Veterinary Surveillance Data from Switzerland: A Case-Study." Journal of the Royal Statistical Society C, 60(2), 261-279.
42. Spiegelhalter DJ, Best NG, Carlin BP, Van der Linde A (2002). “Bayesian Measures of Model Complexity and Fit." Journal of the Royal Statistical Society B, 64(4), 583-616.
43. Stan Development Team (2013). “Stan: A C++ Library for Probability and Sampling, Version 1.3." URL http://mc-stan.org/.
44. Umlauf N, Adler D, Kneib T, Lang S, Zeileis A (2015). “Structured Additive Regression Models: An R Interface to BayesX." Journal of Statistical Software, 63(21), 1-46. URL http://www.jstatsoft.org/v63/i21/.
45. Umlauf N, Kneib T, Lang S, Zeileis A (2013). R2BayesX: Estimate Structured Additive Regression Models with BayesX. R package version 0.3-1, URL http://CRAN.R-project.org/package=R2BayesX.
46. Wickham H (2009). ggplot2: Elegant Graphics for Data Analysis. Springer-Verlag, New York. URL http://had.co.nz/ggplot2/book/.
47. Wood SN (2006). Generalized Additive Models: An Introduction with R. Chapman & Hall/CRC, Boca Raton.