FRK swMATH ID: 19172 Software Authors: Andrew Zammit-Mangion, Timothy Davis, Patrick Amestoy, Iain Duff, John K. Reid Description: R package FRK. Fixed Rank Kriging is a tool for spatial/spatio-temporal modelling and prediction with large datasets. The approach, discussed in Cressie and Johannesson (2008), decomposes the field, and hence the covariance function, using a fixed set of n basis functions, where n is typically much smaller than the number of data points (or polygons) m. The method naturally allows for non-stationary, anisotropic covariance functions and the use of observations with varying support (with known error variance). The projected field is a key building block of the Spatial Random Effects (SRE) model, on which this package is based. The package FRK provides helper functions to model, fit, and predict using an SRE with relative ease. Reference: Cressie, N. and Johannesson, G. (2008) <<a href=”http://dx.doi.org/10.1111/j.1467-9868.2007.00633.x”>doi:10.1111/j.1467-9868.2007.00633.x</a>>. Homepage: https://cran.r-project.org/web/packages/FRK/index.html Source Code: https://github.com/cran/FRK Dependencies: R Keywords: CRAN; R package; Fixed Rank Kriging; spatio modelling; Cressie and Johannesson; Spatial Random Effects; SRE model Related Software: spBayes; GMRFLib; R; R-INLA; BayesDA; GPvecchia; spam; Krylstat; laGP; ElemStatLearn; SemiPar; ggplot2; geoR; INLA; CODA; Healpix; Stem; Stan; LatticeKrig; Matlab Cited in: 126 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Fixed rank Kriging for very large spatial data sets. Zbl 05563351Cressie, Noel; Johannesson, Gardar 2008 all top 5 Cited by 250 Authors 13 Cressie, Noel A. C. 8 Bradley, Jonathan R. 6 Genton, Marc G. 6 Mangion, Andrew Zammit 5 Banerjee, Sudipto 5 Finley, Andrew O. 5 Holan, Scott H. 5 Kang, Emily L. 4 Castruccio, Stefano 4 Eidsvik, Jo 4 Furrer, Reinhard 4 Katzfuss, Matthias 4 Lindgren, Finn 4 Wikle, Christopher K. 3 Bachoc, François 3 Guhaniyogi, Rajarshi 3 Hammerling, Dorit 3 Haran, Murali 3 Heaton, Matthew J. 3 Jun, Mikyoung 3 Konomi, Bledar A. 3 Reich, Brian James 3 Sang, Huiyan 3 Shi, Tao 3 Stein, Michael L. 3 Sun, Ying 2 Aune, Erlend 2 Bakar, K. Shuvo 2 Bass, Mark R. 2 Berrett, Candace 2 Bolin, David 2 Datta, Abhirup 2 Du, Juan 2 Guan, Yawen 2 Guinness, Joseph 2 Huang, Hsin-Cheng 2 Huang, Huang 2 Jeong, Jaehong 2 Karagiannis, Georgios A. 2 Keller, Klaus 2 Keyes, David Elliot 2 Khaledi, Majid Jafari 2 Lin, Guang 2 Ma, Chunsheng 2 Maatouk, Hassan 2 Porcu, Emilio 2 Pugh, Sierra 2 Rivaz, Firoozeh 2 Rougier, Jonathan C. 2 Rue, Håvard 2 Rullière, Didier 2 Sahu, Sujit K. 2 Simpson, Daniel Peter 2 Suesse, Thomas 2 Tsay, Ruey S. 2 Ver Hoef, Jay M. 2 Vu, Quan 2 Zhang, Bohai 2 Zhang, Haimeng 2 Zhang, Qiong 2 Zhu, Zhengyuan 1 Abdulah, Sameh 1 Agou, Vasiliki D. 1 Alegria, Alfredo 1 Allard, Denis 1 Andersen, Hans-Erik 1 Anitescu, Mihai 1 Aybat, Necdet Serhat 1 Bakka, Haakon C. 1 Bao, Jing Yu 1 Barthelmé, Simon 1 Barzegar, Zahra 1 Bay, Xavier 1 Becker, Stephen R. 1 Ben, Shujun 1 Bevilacqua, Moreno 1 Bhat, K. Sham 1 Bingham, Derek R. 1 Bissiri, Pier Giovanni 1 Bitz, Cecilia M. 1 Bivand, Roger S. 1 Boojari, Hossein 1 Booth, Robert K. 1 Bowman, Kenneth P. 1 Braverman, Amy J. 1 Broekgaarden, Floor 1 Burden, Sandy 1 Calder, Catherine A. 1 Cameletti, Michela 1 Cao, Yi 1 Chakraborty, Avishek 1 Chambers, Ray 1 Chandra, Hukum 1 Chen, Jie 1 Chevalier, Clément 1 Chu, Liu 1 Cleanthous, Galatia 1 Contal, Emile 1 Cook, Bruce D. 1 Damle, Anil ...and 150 more Authors all top 5 Cited in 40 Serials 15 The Annals of Applied Statistics 11 Statistics and Computing 10 Computational Statistics and Data Analysis 10 Journal of Agricultural, Biological, and Environmental Statistics 9 Journal of Computational and Graphical Statistics 7 Journal of the American Statistical Association 7 Mathematical Geosciences 4 Statistics & Probability Letters 3 Statistical Science 3 Computational Statistics 3 Journal of Statistical Computation and Simulation 3 Test 3 Statistical Methods and Applications 3 Bayesian Analysis 3 Japanese Journal of Statistics and Data Science 2 Journal of Computational Physics 2 Communications in Statistics. Simulation and Computation 2 Statistica Sinica 2 Statistical Methodology 2 Electronic Journal of Statistics 1 The American Statistician 1 Journal of Multivariate Analysis 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Statistical Papers 1 Computational and Applied Mathematics 1 ACM Transactions on Modeling and Computer Simulation 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Acta Mathematica Sinica. English Series 1 Journal of Machine Learning Research (JMLR) 1 Multiscale Modeling & Simulation 1 Journal of the Korean Statistical Society 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 Statistics Surveys 1 Science China. Mathematics 1 Journal of Probability and Statistics 1 Sankhyā. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Cited in 12 Fields 117 Statistics (62-XX) 25 Geophysics (86-XX) 21 Probability theory and stochastic processes (60-XX) 20 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year