P. Abrahamsen, A review of Gaussian random fields and correlation functions, Tech. rep., Norwegian Computing Center, 1997.

R. Adler, On excursion sets, tube formulas and maxima of random fields, The Annals of Applied Probability, vol.10, issue.1, pp.1-74, 2000.
DOI : 10.1214/aoap/1019737664

S. Chib and E. Greenberg, Understanding the Metropolis-Hastings algorithm, Amer. Statist, vol.49, issue.4, pp.327-335, 1995.

J. Chilès and P. Delfiner, Geostatistics, Modeling Spatial Uncertainty, 1999.

T. M. Cover and A. J. Thomas, Elements of Information Theory, 1991.

D. Cox and S. John, Sdo: a statistical method for global optimization, Multidisciplinary Design Optimization: State of the Art, pp.315-329, 1997.

P. Delfiner, Shift invariance under linear models, 1977.

L. Dixon and G. Szegö, The global optimisation problem: an introduction, 1978.

D. Geman and B. Jedynak, An active testing model for tracking roads in satellite images, Institut National de Recherche en Informatique et en Automatique (INRIA), 1995.
DOI : 10.1109/34.476006
URL : https://hal.archives-ouvertes.fr/inria-00073935

H. Gutmann, A radial basis function method for global optimization, Journal of Global Optimization, vol.19, issue.3, pp.201-227, 2001.
DOI : 10.1023/A:1011255519438

D. Huang, Experimental planning and sequential Kriging optimization using variable fidelity data, 2005.

D. Huang, T. Allen, W. Notz, and N. Zeng, Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models, Journal of Global Optimization, vol.25, issue.1, pp.441-466, 2006.
DOI : 10.1007/s10898-005-2454-3

D. Jones, A taxonomy of global optimization methods based on response surfaces, Journal of Global Optimization, vol.21, issue.4, pp.345-383, 2001.
DOI : 10.1023/A:1012771025575

D. Jones, M. Schonlau, and J. William, Efficient global optimization of expensive black-box functions, Journal of Global Optimization, vol.13, issue.4, pp.455-492, 1998.
DOI : 10.1023/A:1008306431147

G. Matheron, Principles of geostatistics, Economic Geology, vol.58, issue.8, pp.1246-1266, 1963.
DOI : 10.2113/gsecongeo.58.8.1246

G. Matheron, Le krigeage universel, 1969.

M. Sasena, P. Papalambros, and P. Goovaerts, Exploration of Metamodeling Sampling Criteria for Constrained Global Optimization, Engineering Optimization, vol.34, issue.3, pp.263-278, 2002.
DOI : 10.1080/03052150211751

M. Schonlau, Computer experiments and global optimization, 1997.

E. Sjö, Crossings and maxima in Gaussian fields and seas, 2000.

A. Smola, Learning with kernels, 1998.

M. Stein, Interpolation of Spatial Data: Some Theory for Kriging, 1999.
DOI : 10.1007/978-1-4612-1494-6

A. Vechia, Estimation and model identification for continuous spatial processes, J. Royal Statist. Soc. B, issue.50, pp.297-312, 1998.

G. Wahba, Support vector machines, reproducing kernel Hilbert spaces, and randomized GACV, Advances in Kernel Methods -Support Vector Learning, pp.69-87, 1998.

A. Watson and R. Barnes, Infill sampling criteria to locate extremes, Mathematical Geology, vol.15, issue.no. 3, pp.589-698, 1995.
DOI : 10.1007/BF02093902

B. Williams, T. Santner, and W. Notz, Sequential design of computer experiments to minimize integrated response functions, Stat. Sinica, vol.10, pp.1133-1152, 2000.

C. Williams and C. Rasmussen, Regression with Gaussian Processes, Advances in Neural Information Processing Systems, 1996.
DOI : 10.1007/978-1-4615-6099-9_66

A. Yaglom, Correlation Theory of Stationary and Related Random Functions I: Basic Results. Springer Series in Statistics, 1986.