R. Bahadur and R. Rao, On Deviations of the Sample Mean, The Annals of Mathematical Statistics, vol.31, issue.4, pp.1015-1027, 1960.
DOI : 10.1214/aoms/1177705674

O. E. Barndoff-nielsen and D. R. Cox, Asymptotic techniques for uses in statistics, 1989.

B. Bercu, F. Gamboa, and M. Lavielle, Sharp large deviations for Gaussian quadratic forms with applications, ESAIM: Probability and Statistics, vol.4, pp.1-29, 2000.
DOI : 10.1051/ps:2000101

B. Bercu and A. Rouault, Sharp large deviations for the Ornstein-Uhlenbeck process. SIAM Theory of Probability and Its Applications, pp.1-19, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00386239

N. Berrahou, Principe de grandes d??viations pour l'estimateur de la densit?? par la m??thode des delta-suites, Comptes Rendus Mathematique, vol.337, issue.5, pp.347-352, 2003.
DOI : 10.1016/S1631-073X(03)00361-3

N. Chaganty and J. Sethuraman, Strong Large Deviation and Local Limit Theorems, The Annals of Probability, vol.21, issue.3, pp.1671-1690, 1993.
DOI : 10.1214/aop/1176989136

H. Cramer, Random variables and probability distributions, 1970.

A. Dembo and O. Zeitouni, Large deviations techniques and applications, 1998.
DOI : 10.1007/978-1-4612-5320-4

J. D. Deuschel and D. W. Stroock, Large deviations, 1989.
DOI : 10.1090/chel/342

F. Gao, Moderate deviations and large deviations for Kernel density estimators, Journal of Theoretical Probability, vol.16, issue.2, pp.401-418, 2003.
DOI : 10.1023/A:1023574711733

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

J. L. Jensen, Saddlepoint approximations, 1995.

C. Joutard, Sharp large deviations in nonparametric estimation, Journal of Nonparametric Statistics, vol.337, issue.3, pp.293-306, 2006.
DOI : 10.1023/A:1023574711733

L. Liangzhen, Large deviations of kernel density estimator in L 1 (R d ) for reversible Markov processes, Bernoulli, vol.12, issue.1, pp.65-83, 2006.

D. Louani, Large Deviations Limit Theorems for the Kernel Density Estimator, Scandinavian Journal of Statistics, vol.25, issue.1, pp.243-253, 1998.
DOI : 10.1111/1467-9469.00101

D. Louani, Some Large Deviations Limit Theorems in Conditional Nonparametric Statistics, Statistics, vol.26, issue.2, pp.171-196, 1999.
DOI : 10.1214/aos/1176349943

J. Worms, Moderate deviations of some dependent variables. II: Some kernel estimators, Math. Methods Stat, vol.10, issue.2, pp.161-193, 2001.

W. Stute, Conditional empirical process, Ann. Stat, vol.14, pp.891-901, 1986.