562
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

On the choice of the mesh for the analysis of geostatistical data using R-INLA

, ORCID Icon, &
Pages 203-220 | Received 20 Feb 2018, Accepted 09 Oct 2018, Published online: 21 Dec 2018

References

  • Bolin, D., and F. Lindgren. 2013. A comparison between Markov approximations and other methods for large spatial data sets. Computational Statistics & Data Analysis 61:7–21.
  • Bolin, D., and J. Lindström. 2014. Spatial statistics using R-INLA and Gaussian Markov random fields. Pan-American Advanced Study Institute 15:29:57Z, rev.3691.
  • Cameletti, M., F. Lindgren, D. Simpson, and H. Rue. 2013. Spatio-temporal modeling of particulate matter concentration through the SPDE approach. ASTA Advances in Statistical Analysis 97 (2):109–31.
  • Geisser, S., and W. Eddy. 1979. A predictive approach to model selection. Journal of the American Statistical Association, Boston 74 (365):153–60.
  • Gelfand, A. E., P. J. Diggle, M. Fuentes, P. Guttorp (Eds.). 2010. Handbook of spatial statistics. Boca Raton, FL: CRC Press.
  • Gelman, A., J. Hwang, and A. Vehtari. 2014. Understanding predictive information criteria for Bayesian models. Statistics and Computing 24 (6):997–1016.
  • Held, L., B. Schrodle, and H. Rue. 2010. Posterior and cross-validatory predictive checks: A comparison of MCMC and INLA. In Statistical modelling and regression structures, edited by T. Kneib and G. Tutz, 91. New York, NY: Springer.
  • Karagiannis-Voules, D.-A., R. G. C. Scholte, L. H. Guimarães, J. Utzinger, and P. Vounatsou. 2013. Bayesian geostatistical modeling of leishmaniasis incidence in Brazil. PLoS Neglected Tropical Diseases 7 (5):e2213. doi:10.1371/journal.pntd.0002213.
  • Krainski, E. T., and H. Rue. 2013. A short introduction on how to fit a SPDE model with INLA.
  • Krainski, E. T., and F. Lindgren. 2014. The R-INLA tutorial: SPDE models.
  • Lindgren, F. 2012. Continuous domain spatial models in R-INLA. The ISBA Bulletin 19 (4):7.
  • Lindgren, F., and H. Rue. 2015. Bayesian spatial modelling with R-INLA. Journal of Statistical Software 63 (19):1–25.
  • Lindgren, F., H. Rue, and J. Lindström. 2011. An explicit link between Gaussian fields and Gaussian Markov random fields: The stochastic partial differential equation approach. Journal of the Royal Statistical Society 73:423–98.
  • Ribeiro, P. J., Jr., and P. J. Diggle. 2001. geoR: A package for geostatistical analysis. R-News 1 (2): ISSN 1609-3631. http://cran.r-project.org/doc/Rnews.
  • Rue, H., S. Martino, and N. Chopin. 2009. Appriximate Bayesian inference for latent Gaussian models by using integrated nested Laplace aproximations (with discussion). Journal of the Royal Statistical Society: Series B (Statistical Methodology) 71 (2):319–92.
  • Spiegelhalter, D. J., N. G. Best, B. P. Carlin, and A. V. D. Linde. 2002. Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 64 (4):583–639.
  • Vehtari, A., and A. Gelman. 2014. WAIC and cross-validation in Stan. 27 (2015):5. http://www.stat.columbia.edu/gelman/research/unpublished/waic stan.pdf.
  • Watanabe, S. 2010. Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory. Journal of Machine Learning Research 11:3571–94.
  • Whittle, P. 1954. On stationary processes in the plane. Biometrika 41 (3/4):434–49.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.