Estimating the Prediction Mean Squared Error in Gaussian Stochastic Processes with Exponential Correlation Structure, Scandinavian Journal of Statistics, vol.26, issue.4, pp.563-578, 1999. ,
DOI : 10.1111/1467-9469.00168
Optimal exact experimental designs with correlated errors through a simulated annealing algorithm, Computational Statistics & Data Analysis, vol.37, issue.3, pp.275-296, 2001. ,
DOI : 10.1016/S0167-9473(01)00011-1
Information Theory, 1965. ,
New approach for planning out experiments, Problems of Dynamics and Strengths, vol.35, pp.104-107, 1977. ,
Eigenvalues of Euclidean distance matrices, Journal of Approximation Theory, vol.68, issue.1, pp.74-82, 1992. ,
DOI : 10.1016/0021-9045(92)90101-S
Experimental design and observation for large systems, Journal of the Royal Statistical Society Series BMethodological), vol.58, issue.1, pp.77-94, 1996. ,
Nonparametric entropy estimation; an overview, International Journal of Mathematical and Statistical Sciences, vol.6, issue.1, pp.17-39, 1997. ,
Equally spaced design points in polynomial regression: A comparison of systematic sampling methods with the optimal design of experiments, Canadian Journal of Statistics, vol.20, issue.2, pp.77-90, 1984. ,
DOI : 10.2307/3315172
Design of experiments for response diversity A sequential design method for the inversion of an unknown system, Proc. 6th International Conference on Inverse Problems in Engineering (ICIPE) Proc. 15th IFAC Symposium on System Identification, pp.1298-1303, 2008. ,
Optimal designs which are efficient for lack of fit tests, The Annals of Statistics, vol.34, issue.4, pp.2015-2025, 2006. ,
DOI : 10.1214/009053606000000597
Algorithmic Geometry Comparison of designs for computer experiments, Journal of Statistical Planning and Inference, vol.136, issue.3, pp.1103-1119, 1998. ,
lhs: Latin Hypercube Samples. R package version 0, 2009. ,
A review on design, modeling and applications of computer experiments, IIE Transactions, vol.19, issue.4, pp.273-291, 2006. ,
DOI : 10.2307/2670057
DeWall: A fast divide and conquer Delaunay triangulation algorithm in Ed, Computer-Aided Design, vol.30, issue.5, pp.333-341, 1998. ,
DOI : 10.1016/S0010-4485(97)00082-1
Nonsmooth Coordination and Geometric Optimization via Distributed Dynamical Systems, SIAM Review, vol.51, issue.1, pp.163-189, 2009. ,
DOI : 10.1137/080737551
Statistics for Spatial Data Wiley- Interscience The correct kriging variance estimated by bootstrapping, wiley Series in Probability and Statistics, pp.400-409, 1993. ,
Generalized Latin Hypercube Design for Computer Experiments, Technometrics, vol.52, issue.4, pp.421-429, 2010. ,
DOI : 10.1198/TECH.2010.09157
Exact optimal designs for weighted least squares analysis with correlated errors, Statistica Sinica, vol.18, issue.1, pp.135-154, 2008. ,
The uniform design: application of number theoretic methods in experimental design, Acta Mathematicae Applicatae Sinica, vol.3, pp.363-372, 1980. ,
Uniform design for computer experiments and its optimal properties, International Journal of Materials and Product Technology, vol.25, issue.1/2/3, pp.198-210, 2006. ,
DOI : 10.1504/IJMPT.2006.008282
Uniform Design: Theory and Application, Technometrics, vol.34, issue.3, pp.237-248, 1993. ,
DOI : 10.1016/0167-9473(94)00041-G
Design and Modeling for Computer Experiments. Chapman and Hall/CRC Fedorov V (1972) Theory of Optimal Experiments, 1997. ,
Planification d'expériences numériques en phase exploratoire pour la simulation de phénom` enes complexes, 2008. ,
Pre- print, Département 3MI, ´ Ecole Nationale Supérieure des Mines de Saint-Etienne ,
Minimum Spanning Tree: A new approach to assess the quality of the design of computer experiments, Chemometrics and Intelligent Laboratory Systems, vol.97, issue.2, pp.164-169, 2009. ,
DOI : 10.1016/j.chemolab.2009.03.011
URL : https://hal.archives-ouvertes.fr/hal-00409737
Dense packings of equal spheres in a cube, Electronic J Combinatorics, vol.11, 2004. ,
Genetic algorithms and tabu search: Hybrids for optimization, Computers & Operations Research, vol.22, issue.1, pp.111-134, 1995. ,
DOI : 10.1016/0305-0548(93)E0023-M
Cases for the nugget in modeling computer experiments, Statistics and Computing, vol.4, issue.4, 2010. ,
DOI : 10.1007/s11222-010-9224-x
Adaptive Design and Analysis of Supercomputer Experiments, Technometrics, vol.51, issue.2, pp.130-144, 2009. ,
DOI : 10.1198/TECH.2009.0015
Spatial Autocorrelation and Spatial Filtering: Gaining Understanding through Theory and Scientific Visualization On the estimation of entropy, Ann Inst Statist Math, vol.45, issue.1, pp.69-88, 1993. ,
Mean Squared Error of Estimation or Prediction under a General Linear Model, Journal of the American Statistical Association, vol.2, issue.419, pp.724-731, 1992. ,
DOI : 10.1007/BF00048668
Quantification method of classification processes: concept of structural ?entropy, Kybernetika, vol.3, pp.30-35, 1967. ,
A comparison of equally spaced designs with different correlation structures in one and more dimensions, Canadian Journal of Statistics, vol.198, issue.2, pp.203-208, 1981. ,
DOI : 10.2307/3314613
Model Selection For Geostatistical Models, Ecological Applications, vol.16, issue.1, pp.87-98, 2006. ,
DOI : 10.1080/03610927808827599
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.462.5841
Space-filling latin hypercube designs for computer experiments. Discussion Paper Numerical studies of the metamodel fitting and validation processes, International Journal on Advances in Systems and Measurements, vol.18, issue.31 2, pp.11-21, 2006. ,
DOI : 10.1007/s11081-010-9129-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.3850
Spatial designs and properties of spatial correlation: Effects on covariance estimation, Journal of Agricultural, Biological, and Environmental Statistics, vol.33, issue.4, pp.450-469, 2007. ,
DOI : 10.1198/108571107X249799
An efficient algorithm for constructing optimal design of computer experiments, Journal of Statistical Planning and Inference, vol.134, issue.1, pp.268-287, 2005. ,
DOI : 10.1016/j.jspi.2004.02.014
Minimax and maximin distance designs, Journal of Statistical Planning and Inference, vol.26, issue.2, pp.131-148, 1990. ,
DOI : 10.1016/0378-3758(90)90122-B
Comparing designs for computer simulation experiments, 2008 Winter Simulation Conference, pp.463-470, 2008. ,
DOI : 10.1109/WSC.2008.4736101
Limit Kriging, Technometrics, vol.48, issue.4, pp.458-466, 2006. ,
DOI : 10.1198/004017006000000011
Optimal Latin hypercube designs for??the??Kullback???Leibler criterion, AStA Advances in Statistical Analysis, vol.90, issue.4, pp.341-351, 2010. ,
DOI : 10.1007/s10182-010-0145-y
The equivalence of two extremum problems, Journal canadien de math??matiques, vol.12, issue.0, pp.363-366, 1960. ,
DOI : 10.4153/CJM-1960-030-4
Equidistant and D-optimal designs for parameters of Ornstein???Uhlenbeck process, Statistics & Probability Letters, vol.78, issue.12, pp.1388-1396, 2008. ,
DOI : 10.1016/j.spl.2007.12.012
Design and Analysis of Simulation Experiments Computer experiments Design and Analysis of Experiments, Statistics, vol.13, pp.261-308, 1996. ,
On statistical estimation of entropy of random vector, Problems Infor Transmiss, vol.23, issue.23 2, pp.95-101, 1987. ,
Optimal orthogonal-array-based latin hypercubes, Journal of Applied Statistics, vol.30, issue.5, pp.585-598, 2003. ,
DOI : 10.1080/0266476032000053691
URL : http://eprints.soton.ac.uk/22393/1/lear_03.pdf
A class of R??nyi information estimators for multidimensional densities, The Annals of Statistics, vol.36, issue.5, pp.2153-21823837, 2008. ,
DOI : 10.1214/07-AOS539
On the entropic regularization method for solving min-max problems with applications, Mathematical Methods of Operations Research, vol.19, issue.1, pp.119-130, 1997. ,
DOI : 10.1007/BF01199466
A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, vol.21, issue.2, pp.239-245, 1979. ,
Packing and covering with circles An algorithm for the construction of " D-optimal " experimental designs, Technometrics, vol.16, pp.203-210, 1974. ,
Exploratory designs for computational experiments, Journal of Statistical Planning and Inference, vol.43, issue.3, pp.381-402, 1995. ,
DOI : 10.1016/0378-3758(94)00035-T
Collecting Spatial Data: Optimum Design of Experiments for Random Fields Compound optimal spatial designs, Heidelberg Müller WG, Stehlík M Environmetrics, vol.21, pp.3-4354, 2007. ,
Relations between designs for prediction and estimation in random fields: an illustrative case Fast bayesian inference for gaussian process models. Tech. rep., The University of British Columbia, Department of Statistics Narcowich F (1991) Norms of inverses and condition numbers for matrices associated with scattered data, Journal of Approximation Theory, vol.64, pp.69-94, 2007. ,
Random Number Generation and Quasi-Monte Carlo Methods (CBMS-NSF Regional Conference Series in Applied Mathematics) SIAM Okabe A, Books B, Sugihama K (1992) Spatial Tessellations . Concepts and Applications of Voronoi Diagrams A finite packing problem, Canadian Mathematical Bulletin, vol.4, pp.153-155, 1961. ,
Latin Hypercube Sampling of Gaussian Random Fields, Technometrics, vol.28, issue.4, pp.303-312, 1999. ,
DOI : 10.1080/00401706.1987.10488205
Laws of large numbers and nearest neighbor distances Advances in Directional and Linear Statistics. A Festschrift for Sreenivasa Rao Jammalamadaka Latin hypercube sampling with inequality constraints, Advances in Statistical Analysis, vol.94, pp.325-339, 2010. ,
Adaptive Designs of Experiments for Accurate Approximation of a Target Region, Journal of Mechanical Design, vol.132, issue.7, p.71008, 2010. ,
DOI : 10.1115/1.4001873
URL : https://hal.archives-ouvertes.fr/hal-00319385
Comparing and generating Latin Hypercube designs in??Kriging models, AStA Advances in Statistical Analysis, vol.90, issue.1, pp.353-366, 2010. ,
DOI : 10.1007/s10182-010-0142-1
Optimal experimental design and some related control problems, Automatica, vol.44, issue.2, pp.303-325, 2008. ,
DOI : 10.1016/j.automatica.2007.05.016
URL : https://hal.archives-ouvertes.fr/hal-00259532
On the Effect of Covariance Function Estimation on the Accuracy of Kriging Predictors, Bernoulli, vol.7, issue.3, pp.421-438, 2001. ,
DOI : 10.2307/3318494
Construction of nested space-filling designs, The Annals of Statistics, vol.37, issue.6A, pp.3616-3643, 2009. ,
DOI : 10.1214/09-AOS690
Asymptotics for Euclidian functionals with power-weighted edges, Stochastic Processes and their Applications, pp.289-304, 1996. ,
Nested maximin Latin hypercube designs, Structural and Multidisciplinary Optimization, vol.90, issue.1, pp.371-395, 2010. ,
DOI : 10.1007/s00158-009-0432-y
On measures of entropy and information, Proc. 4th Berkeley Symp. on Math. Statist. and Prob, pp.547-561, 1961. ,
Lattice-based D -optimum design for Fourier regression, The Annals of Statistics, vol.25, issue.6, pp.2313-2327, 1997. ,
DOI : 10.1214/aos/1030741074
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.5337
An algorithm for the construction of spatial coverage designs with implementation in SPLUS, Computers & Geosciences, vol.24, issue.5, pp.479-488, 1998. ,
DOI : 10.1016/S0098-3004(98)00020-X
Design and Analysis of Computer Experiments, Statistical Science, vol.4, issue.4, pp.409-435, 1989. ,
DOI : 10.1214/ss/1177012413
The Design and Analysis of Computer Experiments Lower bounds for norms of inverses of interpolation matrices for radial basis functions, Journal of Approximation Theory, vol.79, pp.287-306, 1994. ,
Spatial designs when the observations are correlated, Communications in Statistics - Simulation and Computation, vol.8, issue.1, pp.243-267, 1992. ,
DOI : 10.1088/0305-4470/18/17/009
Multivariate Density Estimation Maximum entropy sampling, Applied Statistics, vol.14, pp.165-170, 1987. ,
The Bootstrap and Kriging Prediction Intervals, Scandinavian Journal of Statistics, vol.21, issue.1, pp.175-192, 2003. ,
DOI : 10.1016/0167-7152(93)90035-H
Interpolation of Spatial Data Some Theory for Kriging Constrained maximin designs for computer experiments, Technometrics, vol.45, issue.4, pp.340-346, 1999. ,
Norm estimates for inverses of Euclidean distance matrices, Journal of Approximation Theory, vol.70, issue.3, pp.339-347, 1992. ,
DOI : 10.1016/0021-9045(92)90064-U
Orthogonal Array-Based Latin Hypercubes, Journal of the American Statistical Association, vol.2, issue.424, 1993. ,
DOI : 10.1214/aos/1176347399
Possible generalization of Boltzmann-Gibbs statistics, Journal of Statistical Physics, vol.8, issue.1-2, pp.479-487, 1988. ,
DOI : 10.1007/BF01016429
Two-dimensional minimax Latin hypercube designs, Discrete Applied Mathematics, vol.156, issue.18, pp.3483-3493, 2007. ,
DOI : 10.1016/j.dam.2008.02.009
Maximin Latin Hypercube Designs in Two Dimensions, Operations Research, vol.55, issue.1, pp.158-169, 2007. ,
DOI : 10.1287/opre.1060.0317
Bounds for Maximin Latin Hypercube Designs, Operations Research, vol.57, issue.3, pp.595-608, 2009. ,
DOI : 10.1287/opre.1080.0604
The influence of variogram parameters on optimal sampling schemes for mapping by kriging, Geoderma, vol.97, issue.3-4, pp.3-4223, 2000. ,
DOI : 10.1016/S0016-7061(00)00040-9
An R package for spatial coverage sampling and random sampling from compact geographical strata by k-means, Computers & Geosciences, vol.36, issue.10, pp.1261-1267, 2010. ,
DOI : 10.1016/j.cageo.2010.04.005
Scattered Data Approximation Bounds for eigenvalues using traces, Linear Algebra and its Applications, vol.29, pp.471-506, 1980. ,
Maximum entropy sampling and general equivalence theory (eds) mODa'7 ? Advances in Model? Oriented Design and Analysis, Proceedings of the 7th Int. Workshop, Heeze (Netherlands), Physica Verlag, pp.211-218, 2004. ,
Efficiency of kriging estimation for square, triangular, and hexagonal grids, Mathematical Geology, vol.7, issue.4, pp.183-205, 1987. ,
DOI : 10.1007/BF00897746
Probability Theory of Classical Euclidean Optimization Problems Optimal designs for parameter estimation of the ornstein-uhlenbeck process, Applied Stochastic Models in Business and Industry, vol.25, issue.5, pp.583-600, 1998. ,
Towards reconciling two asymptotic frameworks in spatial statistics, Biometrika, vol.92, issue.4, pp.921-936, 2005. ,
DOI : 10.1093/biomet/92.4.921
Spatial sampling design for parameter estimation of the covariance function, Journal of Statistical Planning and Inference, vol.134, issue.2, pp.583-603, 2005. ,
DOI : 10.1016/j.jspi.2004.04.017
Spatial sampling design under the infill asymptotic framework, Environmetrics, vol.44, issue.4, pp.323-337, 2006. ,
DOI : 10.1002/env.772
Mean squared prediction error in the spatial linear model with estimated covariance parameters, Annals of the Institute of Statistical Mathematics, vol.33, issue.1, pp.27-43, 1992. ,
DOI : 10.1007/BF00048668
Optimal network design for spatial prediction, covariance parameter estimation, and empirical prediction, Environmetrics, vol.2, issue.6, pp.635-652, 2006. ,
DOI : 10.1002/env.769