Abstract
Large spatial data sets require innovative techniques for computationally efficient statistical estimation. In this comment some aspects of local predictor selection are explored, with a view towards spatially coherent field prediction and uncertainty quantification.
Similar content being viewed by others
References
Aune E, Simpson DP, Eidsvik J (2014) Parameter estimation in high dimensional Gaussian distributions. Stat Comput 24(2):247–263
Bradley JR, Cressie N, Shi T (2014) Comparing and selecting spatial predictors using local criteria. TEST. doi:10.1007/s11749-014-0415-1
Gneiting T, Raftery AE (2007) Strictly proper scoring rules, prediction, and estimation. J Am Stat Assoc 102(477):359–378
Lindgren F, Rue H, Lindström J (2011) An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach (with discussion). J R Stat Soc Ser B Stat Methodol 73:423–498
Nychka D, Bandyopadhyay S, Hammerling D, Lindgren F, Sain S (2014) A multi-resolution Gaussian process model for the analysis of large spatial data sets. J Comp Graph Stat. doi:10.1080/10618600.2014.914946 (available online)
Nychka D, Hammerling D, Sain S, Lenssen N (2013) LatticeKrig: multiresolution kriging based on Markov random fields. http://cran.r-project.org/web/packages/LatticeKrig/. Accessed 2 Aug 2014
Rue H, Martino S, Lindgren F, Simpson D, Riebler A (2013) R-INLA: approximate Bayesian inference using integrated nested Laplace approximations, Trondheim, Norway. http://www.r-inla.org/. Accessed 2 Aug 2014
Whittle P (1954) On stationary processes in the plane. Biometrika 41:434–449
Whittle P (1963) Stochastic processes in several dimensions. Bull Int Stat Inst 40:974–994
Acknowledgments
I want to thank the editors for the invitation to comment, and Jonathan Bradley, Noel Cressie, and Tao Shi for producing a paper that it was well worth the effort on which to comment.
Author information
Authors and Affiliations
Corresponding author
Additional information
This comment refers to the invited paper available at doi:10.1007/s11749-014-0415-1.
Rights and permissions
About this article
Cite this article
Lindgren, F. Comments on: Comparing and selecting spatial predictors using local criteria. TEST 24, 35–44 (2015). https://doi.org/10.1007/s11749-014-0417-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11749-014-0417-z