. Remerciements, J. Je-voudrais-remercier-bernard-bercu, and . Bony, François Caron et Pierre Del Moral pour leurs questions et commentaires avisés, qui m'ont permis d

K. Azuma, Weighted sums of certain dependent random variables, Tohoku Mathematical Journal, vol.19, issue.3, 1967.
DOI : 10.2748/tmj/1178243286

G. Bennett, Probability Inequalities for the Sum of Independent Random Variables, Journal of the American Statistical Association, vol.18, issue.297, pp.33-45, 1962.
DOI : 10.1214/aoms/1177730437

D. A. Freedman, On Tail Probabilities for Martingales, The Annals of Probability, vol.3, issue.1, pp.100-118, 1975.
DOI : 10.1214/aop/1176996452

W. Hoeffding, Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963.
DOI : 10.1214/aoms/1177730491

T. Klein and E. Et-rio, Concentration around the mean for maxima of empirical processes, The Annals of Probability, vol.33, issue.3, pp.1060-1077, 2005.
DOI : 10.1214/009117905000000044

M. Diarmid and C. , On the method of bounded differences, Surveys in Combinatorics, pp.148-188, 1989.

M. Ledoux, On Talagrand's deviation inequalities for product measures, ESAIM: Probability and Statistics, vol.1, pp.63-87, 1996.
DOI : 10.1051/ps:1997103

F. Merlevède, M. Peligrad, and E. Et-rio, A Bernstein type inequality and moderate deviations for weakly dependent sequences, Probability Theory and Related Fields, vol.4, issue.1, pp.435-474, 2011.
DOI : 10.1007/s00440-010-0304-9

E. Rio, Local invariance principles and their, 1994.

E. Rio, Théorie asymptotique des processus aléatoires faiblement dépendants, 2000.

M. Talagrand, New concentration inequalities in product spaces, Inventiones Mathematicae, vol.126, issue.3, pp.505-563, 1996.
DOI : 10.1007/s002220050108