H. Bibliographie and . Evans, Statistical tolerancing: the state of the art, Part I: background, Journal of Quality Technology, vol.6, pp.188-195, 1974.

H. Evans, Statistical tolerancing: the state of the art, Part II: methods for estimating moments, Journal of Quality Technology, vol.7, pp.1-12, 1975.

H. Favreliere, S. Samper, P. Adragna, M. F. Giordano, S. Formosa et al., 3D statistical analysis and representation of form error by a modal approach Modal Expression of Form Defects, Proceedings of the 10th CIRP International Seminar on Computer Aided Tolerancing Proceedings of the 9th CIRP International Seminar on Computer Aided Tolerancing, 2005.

J. Gao, K. W. Chase, and S. P. Magleby, Comparison of Assembly Tolerance Analysis by the Direct Linearization and Modified Monte Carlo Simulation Methods, Proceedings of the ASME Design Engineering Technical Conferences, pp.353-360, 1995.

W. Ghie, L. Laperriere, and A. Desrochers, A Unified Jacobian-Torsor Model for Analysis in Computer Aided Tolerancing, CD-rom Proceedings,IDMME, 2002.
DOI : 10.1007/978-94-017-0161-7_7

M. Giordano, E. Pairel, and S. Samper, Mathematical representation of Tolerance Zones, Proceedings of the 6th CIRP International Seminar on Computer- Aided Tolerancig, pp.177-186, 1999.
DOI : 10.1007/978-94-017-1705-2_18

M. Giordano, B. Kataya, and E. Pairel, Tolerance analysis and synthesis by means of clearance and deviation spaces, Proceedings of 7th CIRP seminar on Computer-Aided Tolerancing, pp.345-354, 2001.
DOI : 10.1007/978-94-017-1691-8_15

URL : https://hal.archives-ouvertes.fr/hal-00258235

M. Giordano, S. Samper, and J. P. Petit, Tolerance analysis and synthesis by means of deviation, axi-symetric cases, Models for computer aided tolerancing in design and manufacturing, 2007.

G. Glancy and K. W. Chase, A second-order method for assembly tolerance analysis, Proceedings of the 1999 ASME Design Engineering Technical Conferences, 1999.

J. Gonzalez, F. Tuerlinckx, P. De-boeck, and R. Cools, Numerical integration in logistic-normal models, Computational Statistics & Data Analysis, vol.51, issue.3, pp.1535-1548, 2006.
DOI : 10.1016/j.csda.2006.05.003

J. Guilford and J. Turner, Advanced Tolerance Analysis and Synthesis for Geometric tolerances, International Forum on Dimensional Tolerancing and Metrology, ASME, vol.27, pp.187-198, 1993.

P. Hernandez, G. Legrais, and M. Giordano, Process definition for computer aided tolerancing, Proceedings of the 8th CIRP International Seminar on Computer Aided Tolerancing, pp.62-69, 2003.

S. Hong and T. Chang, A comprehensive review of tolerancing research, International Journal of Production Research, vol.30, issue.11, pp.2425-2459, 2002.
DOI : 10.1080/002075499189880

G. Koksal and Y. Fathi, Statistical tolerancing using designed experiments in a noisy environment, Computers & Industrial Engineering, vol.44, issue.3, pp.515-526, 2003.
DOI : 10.1016/S0360-8352(02)00234-6

O. and L. Joskowicz, Tolerance envelopes of planar mechanical parts with parametric tolerances, Computer-Aided Design, vol.37, pp.531-544, 2005.

. Ph, S. Petit, M. Samper, and . Giordano, Minimum clearance for tolerancing analysis of a vacum pump, Proceedings of the 8th CIRP International Seminar on Computer-Aided Tolerancig, pp.43-51, 2003.

M. Pillet, F. Bernard, L. Avrillon, and M. Carrard, Le tolérancement inertiel, une autre façon d'intégrer l'aspect combinatoire dans les processus assemblés, Revue internationale de CFAO et d'informatique graphique, pp.401-413, 2001.

L. Rivest, C. Fortin, and A. Desrochers, Tolerance modeling for 3d analysis, Presenting a kinematic formulation, Proceedings of 3rd CIRP Semainars, pp.51-73, 1993.

R. and B. Li, Representation and interpretation of geometric tolerances for polyhedral objects. II. Size, orientation and position tolerances, Computer-Aided Design, vol.99, issue.31, pp.273-285, 1999.

E. Bibliographie, L. Sacks, and . Joskowicz, Parametric kinematic tolerance analysis of general planar systems, Computer-Aided Design, vol.30, issue.9, pp.707-714, 1998.

A. Shan, R. N. Roth, and R. J. Wilson, A New Approach to Statistical Geometrical Tolerance Analysis, The International Journal of Advanced Manufacturing Technology, vol.15, issue.3, pp.222-230, 1999.
DOI : 10.1007/s001700050060

A. Shan and R. N. Roth, Genetic algorithms in statistical tolerancing, Mathematical and Computer Modelling, vol.38, issue.11-13, pp.1427-1436, 2003.
DOI : 10.1016/S0895-7177(03)90146-4

J. Skowronski and J. U. Turner, Using Monte-Carlo variance reduction in statistical tolerance synthesis, Computer-Aided Design, vol.29, issue.1, pp.63-69, 1997.
DOI : 10.1016/S0010-4485(96)00050-4

G. Takhtamyshev, B. Vandewoestyne, and R. Cools, Quasi-random integration in high dimensions, Mathematics and Computers in Simulation, vol.73, issue.5, pp.309-319, 2007.
DOI : 10.1016/j.matcom.2006.04.001

D. Teissandier and J. Dufaure, Tolerance synthesis with polytopes: Application to radial ball bearing arrangements, CD-rom Proceedings, 2002.

. Vil-03-]:-f, F. Villeneuve, and . Vignat, 3D synthesis of manufacturing tolerances using a SDT approach, Proceedings of the 8th CIRP International Seminar on Computer Aided Tolerancing, pp.279-290, 2003.

X. Wang and K. Fang, The effective dimension and quasi-Monte Carlo integration, Journal of Complexity, vol.19, issue.2, pp.101-124, 2003.
DOI : 10.1016/S0885-064X(03)00003-7

H. Wu, Evaluate Fuzzy Riemann Integrals Using the Monte Carlo Method, Journal of Mathematical Analysis and Applications, vol.264, issue.2, pp.324-343, 2001.
DOI : 10.1006/jmaa.2001.7659

Z. Zou and E. Morse, Statistical Tolerance Analysis Using Gap Space, Geometric Product Specification and Verification: Integration of Functionality, Selected Conference Papers of the 7th CIRP International Seminar on Computer Aided Tolerancing, pp.105-114, 2001.