F. Cérou, P. Del-moral, A. Guyader, F. Le-gland, P. Lezaud et al., Some recent improvements to importance splitting, 6th International Workshop on Rare Event Simulation, 2006.

F. Cérou, P. Del-moral, F. Le-gland, and P. Lezaud, Limit theorems for the multilevel splitting algorithm in the simulation of rare events, Proceedings of the Winter Simulation Conference, 2005., pp.682-691, 2005.
DOI : 10.1109/WSC.2005.1574309

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

D. Moral, P. , and J. Garnier, Genealogical particle analysis of rare events, The Annals of Applied Probability, vol.15, issue.4, pp.2496-2534, 2005.
DOI : 10.1214/105051605000000566

URL : https://hal.archives-ouvertes.fr/hal-00113982

M. Garvels, The splitting in rare event estimation Available via http, 2000.

M. Garvels, J. Van-ommeren, and D. Kroese, On the importance function in splitting simulation, European Transactions on Telecommunications, vol.13, issue.1, pp.363-371, 2002.
DOI : 10.1002/ett.4460130408

P. Glasserman, P. Heidelberger, P. Shahabuddin, and T. Zajic, A large deviations perspective on the efficiency of multilevel splitting, IEEE Transactions on Automatic Control, vol.43, issue.12, pp.43-1666, 1998.
DOI : 10.1109/9.736061

D. Jacquemart and J. Morio, Conflict probability estimation between aircraft with dynamic importance splitting, Safety Science, vol.51, issue.1, pp.94-100, 2013.
DOI : 10.1016/j.ssci.2012.05.010

URL : https://hal.archives-ouvertes.fr/hal-00911787

S. Juneja and P. Shahabuddin, Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances, Handbooks in Operations Research and Management Science, vol.13, issue.06, pp.291-350, 2006.
DOI : 10.1016/S0927-0507(06)13011-X

L. Gland and F. , Combined use of importance weights and resampling weights in sequential Monte Carlo methods, ESAIM: Proceedings, vol.19, pp.85-100, 2007.
DOI : 10.1051/proc:071912

URL : https://hal.archives-ouvertes.fr/hal-00912067

L. 'ecuyer, P. , V. Demers, B. Tuffin, P. L-'´-ecuyer et al., Splitting for Rare-Event Simulation Rare events, splitting, and quasi?Monte Carlo, Proceedings of the 2006 Winter Simulation Conference, pp.137-148, 2006.

L. Ecuyer, P. , F. Le-gland, P. Lezaud, and B. Tuffin, Splitting methods, Monte Carlo Methods for Rare Event Analysis, pp.39-61, 2009.

M. Prandini, H. Blom, and G. Bakker, Air traffic complexity and the interacting particle system method: An integrated approach for collision risk estimation, Proceedings of the 2011 American Control Conference, pp.2154-2159, 2011.
DOI : 10.1109/ACC.2011.5991305

A. Biographies, D. Jacquemart-tomi, and . Ph, D student in applied mathematics at ONERA and INRIA. He obtained agrégation in mathematics, in 2010. Then, he graduated from the University of Marseille, France with a Research Masters Degree in Probability and Statistics His research interests include rare event estimation with aerospace applications, 2011.

F. Le, directeur de recherche) at INRIA Rennes since 1993, where he is the head of the ASPI research team. He graduated from Ecole Centrale Paris in 1978 and obtained a Ph.D. in applied mathematics from université Paris Dauphine in 1981. His main research theme is the application of interacting particle systems to Bayesian estimation, to rare event estimation and to global optimization. His email address is francois

J. Morio and R. Engineer, He graduated from Ecole Nationale Supérieure de Physique de Marseille, France His main research interests include rare event estimations, sensitivity analysis and uncertainty propagation, Ph.D. in physics from, 2007.