S. Arlot, Resampling and Model Selection, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00198803

S. Arlot and G. Blanchard, Some non-asymptotic results on resampling in high dimension, II: Multiple tests, Ann. Statist, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00446197

Y. Baraud, Confidence balls in Gaussian regression, The Annals of Statistics, vol.32, issue.2, pp.528-551, 2004.
DOI : 10.1214/009053604000000085

URL : https://hal.archives-ouvertes.fr/hal-00012909

R. Beran, The Impact of the Bootstrap on Statistical Algorithsm and Theory, Statistical Science, vol.18, issue.2, pp.175-184, 2003.
DOI : 10.1214/ss/1063994972

R. Beran and L. Dümbgen, Modulation of estimators and confidence sets, The Annals of Statistics, vol.26, issue.5, pp.1826-1856, 1998.
DOI : 10.1214/aos/1024691359

T. Cai and M. Low, Adaptive confidence balls, The Annals of Statistics, vol.34, issue.1, pp.202-228, 2006.
DOI : 10.1214/009053606000000146

URL : http://arxiv.org/abs/math/0605462

B. R. Cirel-'son, I. A. Ibragimov, and V. N. Sudakov, Norms of Gaussian sample functions, Proceedings of the Third Japan?USSR Symposium on Probability Theory, pp.20-41, 1976.
DOI : 10.1090/S0002-9947-1938-1501970-8

F. Darvas, M. Rautiainen, D. Pantazis, S. Baillet, H. Benali et al., Investigations of dipole localization accuracy in MEG using the bootstrap, NeuroImage, vol.25, issue.2, pp.355-368, 2005.
DOI : 10.1016/j.neuroimage.2004.09.045

C. Durot and Y. Rozenholc, An adaptive test for zero mean, Math. Methods Statist, vol.15, issue.1, pp.26-60, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00748951

B. Efron, Bootstrap Methods: Another Look at the Jackknife, The Annals of Statistics, vol.7, issue.1, pp.1-26, 1979.
DOI : 10.1214/aos/1176344552

R. A. Fisher, Design of Experiments, BMJ, vol.1, issue.3923, 1935.
DOI : 10.1136/bmj.1.3923.554-a

M. Fromont, Model selection by bootstrap penalization for classification, Machine Learning, pp.165-207, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00457774

Y. Ge, S. Dudoit, and T. P. Speed, Resampling-based multiple testing for microarray data analysis, Test, vol.82, issue.406, pp.1-77, 2003.
DOI : 10.1007/BF02595811

P. Hall, The bootstrap and Edgeworth expansion, 1992.
DOI : 10.1007/978-1-4612-4384-7

P. Hall and E. Mammen, On General Resampling Algorithms and their Performance in Distribution Estimation, The Annals of Statistics, vol.22, issue.4, pp.2011-2030, 1994.
DOI : 10.1214/aos/1176325769

M. Hoffmann and O. Lepski, Random rates in anisotropic regression (with a discussion and a rejoinder by the authors), The Annals of Statistics, vol.30, issue.2, pp.325-396, 2002.
DOI : 10.1214/aos/1021379858

K. Jerbi, J. Lachaux, K. N-'diaye, D. Pantazis, R. M. Leahy et al., Coherent neural representation of hand speed in humans revealed by MEG imaging, Proceedings of the National Academy of Sciences, vol.104, issue.18, pp.1047676-7681, 2007.
DOI : 10.1073/pnas.0609632104

A. Juditsky and S. Lambert-lacroix, Nonparametric confidence set estimation, Math. Methods Statist, vol.12, pp.410-428, 2003.

V. Koltchinskii, Rademacher penalties and structural risk minimization, IEEE Transactions on Information Theory, vol.47, issue.5, pp.1902-1914, 2001.
DOI : 10.1109/18.930926

URL : http://bayes.stat.washington.edu/jaw/COURSES/STOP/593.sp.00/PAPERS/radpen1.pdf

O. V. Lepski, How to improve the accuracy of estimation, Math. Methods Statist, vol.8, issue.4, pp.441-486, 1999.

K. Li, Honest Confidence Regions for Nonparametric Regression, The Annals of Statistics, vol.17, issue.3, pp.1001-1008, 1989.
DOI : 10.1214/aos/1176347253

D. M. Mason and M. A. Newton, A Rank Statistics Approach to the Consistency of a General Bootstrap, The Annals of Statistics, vol.20, issue.3, pp.1611-1624, 1992.
DOI : 10.1214/aos/1176348787

P. Massart, Concentration Inequalities and Model Selection (Lecture notes of the St-Flour probability summer school, Lecture notes in Mathematics, vol.1896, 2003.

C. Mcdiarmid, On the method of bounded differences, Surveys in combinatorics, pp.148-188, 1989.
DOI : 10.1017/CBO9781107359949.008

D. Pantazis, T. E. Nichols, S. Baillet, and R. M. Leahy, A comparison of random field theory and permutation methods for the statistical analysis of MEG data, NeuroImage, vol.25, issue.2, pp.383-394, 2005.
DOI : 10.1016/j.neuroimage.2004.09.040

J. Praestgaard and J. A. Wellner, Exchangeably Weighted Bootstraps of the General Empirical Process, The Annals of Probability, vol.21, issue.4, pp.2053-2086, 1993.
DOI : 10.1214/aop/1176989011

J. Robins, A. Van, and . Vaart, Adaptive nonparametric confidence sets, The Annals of Statistics, vol.34, issue.1, pp.229-253, 2006.
DOI : 10.1214/009053605000000877

J. P. Romano and M. Wolf, Exact and Approximate Stepdown Methods for Multiple Hypothesis Testing, SSRN Electronic Journal, vol.100, issue.469, pp.94-108, 2005.
DOI : 10.2139/ssrn.563267

A. W. Van-der-vaart and J. A. Wellner, Weak convergence and empirical processes, 1996.
DOI : 10.1007/978-1-4757-2545-2

T. Waberski, R. Gobbele, W. Kawohl, C. Cordes, and H. Buchner, Immediate cortical reorganization after local anesthetic block of the thumb: source localization of somatosensory evoked potentials in human subjects, Neuroscience Letters, vol.347, issue.3, pp.151-154, 2003.
DOI : 10.1016/S0304-3940(03)00650-5

C. Sylvain-arlot, INRIA UMR 8548) 45, rue d'Ulm, 75230 Paris, France E-mail: sylvain.arlot@ens.fr Gilles Blanchard Weierstrass institute for applied stochastics and analysis Mohrenstrasse 39, p.12489, 10117.