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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) &lt;<a href=”http://dx.doi.org/10.1111/j.1467-9868.2007.00633.x”>doi:10.1111/j.1467-9868.2007.00633.x</a>&gt;.
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 05563351
Cressie, Noel; Johannesson, Gardar
2008
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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
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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

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