Uniform quadratic variation for Gaussian processes, Stochastic Process. Appl, vol.48, issue.2, pp.191-209, 1993. ,
Level sets and extrema of random processes and fields, 2009. ,
Cross validation and maximum likelihood estimations of hyper-parameters of gaussian processes with model misspecification, Computational Statistics & Data Analysis, vol.66, pp.55-69, 2013. ,
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. ,
URL : https://hal.archives-ouvertes.fr/hal-00906934
Asymptotic analysis of covariance parameter estimation for gaussian processes in the misspecified case, Bernoulli, vol.24, issue.2, pp.1531-1575, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01092042
Fixed-domain asymptotic properties of composite likelihood estimators for Gaussian processes, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02079975
The combination of forecasts, Journal of the Operational Research Society, vol.20, issue.4, pp.451-468, 1969. ,
A strong limit theorem for Gaussian processes, Proc. Amer. Math. Soc, vol.7, pp.522-527, 1956. ,
Generalized product of experts for automatic and principled fusion of Gaussian process predictions, Modern Nonparametrics 3: Automating the Learning Pipeline workshop at NIPS, Montreal, 2014. ,
Applied Science Publishers London, vol.3, 1979. ,
Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths, Stat. Inference Stoch. Process, vol.4, issue.2, pp.199-227, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00383118
Fractional fields and applications, Mathématiques & Applications, vol.73 ,
URL : https://hal.archives-ouvertes.fr/hal-00871783
, , 2013.
Statistics for spatial data, 1993. ,
Robust estimation of the variogram: I, Journal of the International Association for Mathematical Geology, vol.12, issue.2, pp.115-125, 1980. ,
Efficient parameter estimation for self-similar processes. The annals of Statistics, pp.1749-1766, 1989. ,
Hierarchical nearest-neighbor Gaussian process models for large geostatistical datasets, Journal of the American Statistical Association, vol.111, issue.514, pp.800-812, 2016. ,
Orthonormal bases of compactly supported wavelets, Communications on pure and applied mathematics, vol.41, issue.7, pp.909-996, 1988. ,
Geostatistical ore reserve estimation, 2012. ,
Distributed Gaussian processes, Proceedings of the 32nd International Conference on Machine Learning, vol.37, 2015. ,
Covariance tapering for interpolation of large spatial datasets, Journal of Computational and Graphical Statistics, vol.15, issue.3, pp.502-523, 2006. ,
A new limit theorem for stochastic processes with Gaussian increments, Teor. Verojatnost. i Primenen, vol.6, pp.57-66, 1961. ,
Abstract inference, Wiley Series in Probability and Mathematical Statistics, 1981. ,
Convergence en loi des H-variations d'un processus gaussien stationnaire sur R, Ann. Inst. H. Poincaré Probab. Statist, vol.25, issue.3, pp.265-282, 1989. ,
On the nonparametric estimation of covariance functions, The Annals of Statistics, vol.22, issue.4, pp.2115-2134, 1994. ,
Properties of nonparametric estimators of autocovariance for stationary random fields. Probability Theory and Related Fields, vol.99, pp.399-424, 1994. ,
Financial time series volatility analysis using gaussian process state-space models, 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP), pp.358-362, 2015. ,
Gaussian processes for big data, Uncertainty in Artificial Intelligence, pp.282-290, 2013. ,
Training products of experts by minimizing contrastive divergence, Neural computation, vol.14, issue.8, pp.1771-1800, 2002. ,
Gaussian Random Processes, 1978. ,
Quadratic variations and estimation of the local Hölder index of a Gaussian process, Ann. Inst. H. Poincaré Probab. Statist, vol.33, issue.4, pp.407-436, 1997. ,
Bureau De Recherches Geologiques Et Miniers, 1978. ,
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. ,
Estimating the fractal dimension of a locally self-similar Gaussian process by using increments, J. Roy. Statist. Soc. Ser. B, vol.59, issue.3, pp.679-699, 1997. ,
On asymptotic distribution and asymptotic efficiency of least squares estimators of spatial variogram parameters, Journal of Statistical Planning and Inference, vol.103, issue.1-2, pp.65-85, 2002. ,
Semi-parametric estimation of the Hölder exponent of a stationary Gaussian process with minimax rates, Stat. Inference Stoch. Process, vol.4, issue.3, pp.283-306, 2001. ,
A general procedure to combine estimators, Computational Statistics & Data Analysis, vol.94, pp.175-192, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00936024
Le mouvement brownien plan, Amer. J. Math, vol.62, pp.487-550, 1940. ,
Introduction to Dynamic Systems: Theory, Models, and Applications, 1979. ,
Fitting negative spatial covariances to geothermal field temperatures in Nea Kessani (Greece), International Environmetrics Society, vol.18, issue.7, pp.759-773, 2007. ,
Traité de géostatistique appliquée, Mémoires du Bureau de Recherches Géologiques et Minières, vol.14, 1962. ,
AMLE3D: A computer program for the inference of spatial covariance parameters by approximate maximum likelihood estimation, Computers & Geosciences, vol.23, issue.7, pp.793-805, 1997. ,
Quadratic variation for Gaussian processes and application to time deformation, Stochastic Process. Appl, vol.82, issue.2, pp.293-305, 1999. ,
Remarks on characteristic functions, Proceedings of the First Berkeley Symposium on Mathematical Statistics and Probability, vol.501, pp.115-123, 1945. ,
Gaussian Processes for Machine Learning, 2006. ,
Anisotropy of hölder gaussian random fields: characterization, estimation, and application to image textures, Statistics and Computing, vol.28, issue.6, pp.1155-1168, 2018. ,
ADNI: Simultaneous multiscale registration using large deformation diffeomorphic metric mapping, IEEE Transactions on Medical Imaging, vol.30, issue.10, pp.1746-1759, 2011. ,
Dicekriging, diceoptim: Two r packages for the analysis of computer experiments by kriging-based metamodeling and optimization, Journal of Statistical Software, vol.51, issue.1, pp.1-55, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00495766
DiceOptim: Two R packages for the analysis of computer experiments by Kriging-based metamodeling and optimization, Journal of Statistical Software, vol.51, issue.1, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00495766
Gaussian Markov random fields, Theory and applications, 2005. ,
Nested Kriging predictions for datasets with a large number of observations, Statistics and Computing, vol.28, issue.4, pp.849-867, 2018. ,
The design and analysis of computer experiments, Springer Series in Statistics, 2003. ,
On the zeros of Gaussian noise, Proc. Sympos. Time Series Analysis (Brown Univ., 1962), pp.104-115, 1963. ,
Interpolation of Spatial Data: Some Theory for Kriging, 1999. ,
Limitations on low rank approximations for covariance matrices of spatial data, Spatial Statistics, vol.8, pp.1-19, 2014. ,
Approximating likelihoods for large spatial data sets, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.66, issue.2, pp.275-296, 2004. ,
A Bayesian committee machine, Neural Computation, vol.12, issue.11, pp.2719-2741, 2000. ,
Optimally weighted cluster Kriging for big data regression, International Symposium on Intelligent Data Analysis, pp.310-321, 2015. ,
An overview of composite likelihood methods, Statistica Sinica, vol.21, pp.5-42, 2011. ,
Estimation and model identification for continuous spatial processes, Journal of the Royal Statistical Society: Series B (Methodological), vol.50, issue.2, pp.297-312, 1988. ,
Gaussian process volatility model, Advances in Neural Information Processing Systems, vol.27, pp.1044-1052, 2014. ,
Kriging and cross-validation for massive spatial data, Environmetrics, vol.21, issue.3/4, pp.290-304, 2010. ,