Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1970. ,
DOI : 10.1119/1.1972842
Sobolev Spaces, 2003. ,
Nonstationary Positive Definite Tapering On The Plane, Journal of Computational and Graphical Statistics, vol.4, issue.4, pp.848-865, 2013. ,
DOI : 10.1080/10618600.2012.729982
Asymptotic analysis of covariance parameter estimation for gaussian processes in the misspecified case. arXiv preprint http, 1926. ,
URL : https://hal.archives-ouvertes.fr/hal-01092042
Asymptotic analysis of the role of spatial sampling for covariance parameter estimation of Gaussian processes, Journal of Multivariate Analysis, vol.125, pp.1-35, 2014. ,
DOI : 10.1016/j.jmva.2013.11.015
URL : https://hal.archives-ouvertes.fr/hal-00906934
Gaussian predictive process models for large spatial data sets, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.17, issue.4, pp.825-848, 2008. ,
DOI : 10.1111/j.1467-9868.2008.00663.x
Estimating Space and Space-Time Covariance Functions for Large Data Sets: A Weighted Composite Likelihood Approach, Journal of the American Statistical Association, vol.49, issue.24, pp.268-280, 2012. ,
DOI : 10.1093/biomet/92.4.921
Adaptive tapering for spacetime covariance functions, 2015. ,
Fixed rank kriging for very large spatial data sets, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.100, issue.1, pp.209-226, 2008. ,
DOI : 10.1111/j.1467-9868.2007.00633.x
Classes of compactly supported covariance functions for multivariate random fields, Stochastic Environmental Research and Risk Assessment, vol.4, issue.1, pp.1-15, 2014. ,
DOI : 10.1007/s00477-014-0996-y
Modeling and computations of multivariate datasets in space and time, 2013. ,
Fixed-domain asymptotic properties of tapered maximum likelihood estimators, The Annals of Statistics, vol.37, issue.6A, pp.3330-3361, 2009. ,
DOI : 10.1214/08-AOS676
Estimation and Prediction in Spatial Models With Block Composite Likelihoods, Journal of Computational and Graphical Statistics, vol.50, issue.2, pp.295-315, 2014. ,
DOI : 10.1093/biomet/92.4.921
spam: SPArse Matrix. R package version 1.0-1, 2014. ,
Covariance Tapering for Interpolation of Large Spatial Datasets, Journal of Computational and Graphical Statistics, vol.15, issue.3, pp.502-523, 2006. ,
DOI : 10.1198/106186006X132178
spam: A sparse matrix R package with emphasis on MCMC methods for Gaussian Markov random fields, Journal of Statistical Software, vol.36, pp.1-25, 2010. ,
Mat??rn Cross-Covariance Functions for Multivariate Random Fields, Journal of the American Statistical Association, vol.105, issue.491, pp.1167-1177, 2010. ,
DOI : 10.1198/jasa.2010.tm09420
Fast kriging of large data sets with Gaussian Markov random fields, Computational Statistics & Data Analysis, vol.52, issue.5, pp.2331-2349, 2008. ,
DOI : 10.1016/j.csda.2007.09.018
R: A language for data analysis and graphics, J. Comput. Graph. Stat, vol.5, pp.299-314, 1996. ,
Covariance Tapering for Likelihood-Based Estimation in Large Spatial Data Sets, Journal of the American Statistical Association, vol.103, issue.484, pp.1545-1555, 2008. ,
DOI : 10.1198/016214508000000959
An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.17, issue.4, pp.423-498, 2011. ,
DOI : 10.1111/j.1467-9868.2011.00777.x
Modification of the minimum-degree algorithm by multiple elimination, ACM Transactions on Mathematical Software, vol.11, issue.2, pp.141-153, 1985. ,
DOI : 10.1145/214392.214398
Covariance Matrices for Second-Order Vector Random Fields in Space and Time, IEEE Transactions on Signal Processing, vol.59, issue.5, pp.2160-2168, 2011. ,
DOI : 10.1109/TSP.2011.2112651
VECTOR RANDOM FIELDS WITH LONG-RANGE DEPENDENCE, Fractals, vol.19, issue.02, pp.249-258, 2011. ,
DOI : 10.1142/S0218348X11005312
Maximum likelihood estimation of models for residual covariance in spatial regression, Biometrika, vol.71, issue.1, pp.135-146, 1984. ,
DOI : 10.1093/biomet/71.1.135
Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers, SIAM Journal on Scientific Computing, vol.14, issue.5, pp.1034-1056, 1993. ,
DOI : 10.1137/0914063
R: A language and environment for statistical computing. R Foundation for Statistical Computing, 2015. ,
Equivalence of Gaussian measures of multivariate random fields, Stochastic Environmental Research and Risk Assessment, vol.123, issue.2, pp.325-334, 2015. ,
DOI : 10.1007/s00477-014-0926-z
A spatial analysis of multivariate output from regional climate models, The Annals of Applied Statistics, vol.5, issue.1, pp.150-175, 2011. ,
DOI : 10.1214/10-AOAS369
Tapered Covariance: Bayesian Estimation and Asymptotics, Journal of Computational and Graphical Statistics, vol.50, issue.2, pp.433-452, 2012. ,
DOI : 10.1080/00949658908811149
Asymptotically Efficient Prediction of a Random Field with a Misspecified Covariance Function, The Annals of Statistics, vol.16, issue.1, pp.55-63, 1988. ,
DOI : 10.1214/aos/1176350690
Uniform Asymptotic Optimality of Linear Predictions of a Random Field Using an Incorrect Second-Order Structure, The Annals of Statistics, vol.18, issue.2, pp.850-872, 1990. ,
DOI : 10.1214/aos/1176347629
Efficiency of linear predictors for periodic processes using an incorrect covariance function, Journal of Statistical Planning and Inference, vol.58, issue.2, pp.321-331, 1997. ,
DOI : 10.1016/S0378-3758(96)00088-2
Predicting random fields with increasing dense observations, The Annals of Applied Probability, vol.9, issue.1, pp.242-273, 1999. ,
DOI : 10.1214/aoap/1029962604
The screening effect in Kriging, The Annals of Statistics, vol.30, issue.1, pp.298-323, 2002. ,
DOI : 10.1214/aos/1015362194
A modeling approach for large spatial datasets, Journal of the Korean Statistical Society, vol.37, issue.1, pp.3-10, 2008. ,
DOI : 10.1016/j.jkss.2007.09.001
Statistical Properties of Covariance Tapers, Journal of Computational and Graphical Statistics, vol.99, issue.4, pp.866-885, 2013. ,
DOI : 10.1080/10618600.2012.719844
Approximating likelihoods for large spatial data sets, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.17, issue.2, pp.275-296, 2004. ,
DOI : 10.1016/0167-9473(91)90055-7
On fixed-domain asymptotics and covariance tapering in Gaussian random field models, Electronic Journal of Statistics, vol.5, issue.0, pp.238-269, 2011. ,
DOI : 10.1214/11-EJS607
On maximum likelihood estimation of parameters in incorrectly specified models of covariance for spatial data, Mathematical Geology, vol.16, issue.2, pp.151-173, 1990. ,
DOI : 10.1007/BF00891821
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Advances in Computational Mathematics, vol.4, issue.1, pp.389-396, 1995. ,
DOI : 10.1007/BF02123482