B. and S. , Some extremal properties of the Bernoulli distribution, Theory Probab. Appl, vol.41, pp.748-755, 1996.

B. and O. , Concentration inequalities for sub-additive functions using the entropy method, Stochastic Inequalities and Applications, vol.56, pp.213-247, 2003.

K. and T. , Une inégalité de concentration à gauche pour les processus empiriques, C. R. Acad. Sci. Paris Sér. I Math, vol.334, pp.495-500, 2002.

L. and M. , On Talagrand's deviation inequalities for product measures, ESAIM Probab. Statist, vol.1, pp.63-87, 1996.

L. , M. , T. , and M. , Probability in Banach Spaces. Isoperimetry and Processes, 1991.

M. and P. , About the constants in Talagrand's concentration inequalities for empirical processes, Ann. Probab, vol.28, pp.863-884, 2000.

P. and D. , A note on Talagrand's concentration inequality, Electron. Comm. Probab, vol.6, pp.55-65, 2001.

P. and D. , Symmetrization approach to concentration inequalities for empirical processes, Ann. Probab, vol.31, pp.2068-2081, 2003.

R. and E. , Inégalités de concentration pour les processus empiriques de classes de parties, Mathématiques et Applications, vol.119, pp.163-175, 2000.

R. and E. , Une inégalité de Bennett pour les maxima de processus empiriques, Ann. Inst. H. Poincaré Probab. Statist, vol.38, pp.1053-1057, 2002.

T. and M. , New concentration inequalities in product spaces, Invent. Math, vol.126, pp.503-563, 1996.

C. Umr-8100 and . Yvelines,

A. Des-etats-unis-78035 and V. France-e-mail,