K. T. Alfriend, M. R. Akella, J. Frisbee, F. L. Foster, D. Lee et al., Probability of collision error analysis, Journal of Space Debris, vol.1, issue.1, 1999.

M. R. Akella and K. T. , Probability of Collision Between Space Objects, Journal of Guidance, Control, and Dynamics, vol.23, issue.5, 2000.
DOI : 10.2514/2.4611

R. P. Patera, General method for calculating satellite conjunction probability, Journal of Guidance, Control and Dynamics, vol.24, issue.4, 2001.

S. Alfano, A numerical implementation of spherical objet collision probability, Journal of Astronautical Sciences, vol.53, issue.1, 2005.

F. K. Chan, Spacecraft Collision Probability, 2008.
DOI : 10.2514/4.989186

V. T. Coppola, Including Velocity Uncertainty in the Probability of Collision Between Space Objects, AAS/AIAA Spaceflight Mechanics Meeting, pp.12-247, 2012.

S. Alfano, Satellite conjunction monte carlo analysis, Proceedings of AAS/AIAA Spaceflight Mechanics Meeting, 2009.

J. L. Foster and H. S. Estes, A parametric analysis of orbital debris collision probability and maneuver rate for space debris, 1992.

S. Alfano, Aerospace support to space situation awareness, Applicationes Mathematicae, 2002.

F. K. Chan, Collision probability analyses for earth-orbiting satellites, Applicationes Mathematicae, 1997.

J. B. Lasserre and E. S. Zeron, Solving a class of multivariate integration problems via Laplace techniques, Applicationes Mathematicae, vol.28, issue.4, 2001.
DOI : 10.4064/am28-4-2

D. Zeilberger, A holonomic systems approach to special functions identities, Journal of Computational and Applied Mathematics, vol.32, issue.3, pp.321-368, 1990.
DOI : 10.1016/0377-0427(90)90042-X

B. Salvy, D-finiteness, Proceedings of the 2005 international symposium on Symbolic and algebraic computation , ISSAC '05, pp.2-3, 2005.
DOI : 10.1145/1073884.1073886

A. Genz and F. Bretz, Computation of multivariate normal and t probabilities, 2009.
DOI : 10.1007/978-3-642-01689-9

V. T. Coppola, Evaluating the Short Encounter Assumption of the Probability of Collision Formula, AAS/AIAA Spaceflight Mechanics Meeting, pp.12-248, 2012.

A. Papoulis and S. U. Pillai, Probability, random variables, and stochastic processes. Tata McGraw-Hill Education, 2002.

S. Chevillard and M. Mezzarobba, Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation, 2013 IEEE 21st Symposium on Computer Arithmetic, pp.175-182, 2013.
DOI : 10.1109/ARITH.2013.33

URL : https://hal.archives-ouvertes.fr/hal-00767085

W. Gawronski, J. Müller, and M. Reinhard, Reduced Cancellation in the Evaluation of Entire Functions and Applications to the Error Function, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2564-2576, 2007.
DOI : 10.1137/060669589

D. V. Widder, An introduction to transform theory, 1971.

D. V. Widder, The Laplace transform. Princeton mathematical series, 1946.

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009.
DOI : 10.1017/CBO9780511801655

URL : https://hal.archives-ouvertes.fr/inria-00072739

W. Feller, An Introduction to Probability Theory and Its Applications, 1957.