B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, A first course in order statistics, Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, 1992.
DOI : 10.1137/1.9780898719062

A. Barg, G. R. Blakley, and G. A. Kabatiansky, Digital fingerprinting codes: problem statements, constructions, identification of traitors, IEEE Transactions on Information Theory, vol.49, issue.4, pp.960-980, 2003.
DOI : 10.1109/TIT.2003.809570

Z. I. Botev and D. P. Kroese, An Efficient Algorithm for Rare-event Probability Estimation, Combinatorial Optimization, and Counting, Methodology and Computing in Applied Probability, vol.8, issue.1, pp.471-505, 2008.
DOI : 10.1007/s11009-008-9073-7

F. Cérou, P. , and A. Guyader, A non asymptotic variance theorem for unnormalized Feynman-Kac particle models, 2008.

F. Cérou, P. Del-moral, F. Le-gland, and P. Lezaud, Genetic genealogical models in rare event analysis, Latin American Journal of Probability and Mathematical Statistics, vol.1, 2006.

F. Cérou, T. Furon, and A. Guyader, Experimental assessment of the reliability for watermarking and fingerprinting schemes, EURASIP Journal on Information Security, 2008.

F. Cérou and A. Guyader, Adaptive Multilevel Splitting for Rare Event Analysis, Stochastic Analysis and Applications, vol.23, issue.2, pp.417-443, 2007.
DOI : 10.1214/aop/1176990746

P. and D. Moral, Feynman-Kac formulae, Genealogical and interacting particle systems with applications. Probability and its Applications, 2004.

P. , D. Moral, A. Doucet, and A. Jasra, Sequential Monte Carlo samplers, J. R. Stat. Soc. Ser. B Stat. Methodol, vol.68, issue.3, pp.411-436, 2006.

P. , D. Moral, and P. Lezaud, Branching and interacting particle interpretation of rare event probabilities, Stochastic Hybrid Systems : Theory and Safety Critical Applications , number 337 in Lecture Notes in Control and Information Sciences, pp.277-323, 2006.

M. J. Garvels, The splitting method in rare event simulation. Thesis, 2000.

W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, pp.97-109, 1970.
DOI : 10.1093/biomet/57.1.97

H. Kahn and T. E. Harris, Estimation of particle transmission by random sampling, National Bureau of Standards Appl. Math. Series, vol.12, pp.27-30, 1951.

A. Lagnoux, RARE EVENT SIMULATION, Probability in the Engineering and Informational Sciences, pp.45-66, 2006.
DOI : 10.1214/aoap/1034968137

URL : https://hal.archives-ouvertes.fr/hal-00644139

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1092, 1953.
DOI : 10.1063/1.1699114

S. P. Meyn and R. L. Tweedie, Markov chains and stochastic stability. Communications and Control Engineering Series, 1993.

R. Rubinstein, The Gibbs Cloner for Combinatorial Optimization, Counting and Sampling, Methodology and Computing in Applied Probability, vol.32, issue.4, 2008.
DOI : 10.1007/s11009-008-9101-7

G. Tardos, Optimal probabilistic fingerprint codes, Proc. of the 35th annual ACM symposium on theory of computing, pp.116-125, 2003.
DOI : 10.1145/1346330.1346335

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

L. Tierney, Markov Chains for Exploring Posterior Distributions, The Annals of Statistics, vol.22, issue.4, pp.1701-1762, 1994.
DOI : 10.1214/aos/1176325750

M. Villén-altamirano and J. Villén-altamirano, RESTART: a straightforward method for fast simulation of rare events, Proceedings of Winter Simulation Conference, pp.282-289, 1994.
DOI : 10.1109/WSC.1994.717150