M. Arnst, R. Ghanem, and C. Soize, Identification of Bayesian posteriors for coefficients of chaos expansions, Journal of Computational Physics, vol.229, issue.9, pp.3134-3154, 2010.
DOI : 10.1016/j.jcp.2009.12.033
URL : https://hal.archives-ouvertes.fr/hal-00684317

S. Das, R. Ghanem, and J. C. Spall, Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach, SIAM Journal on Scientific Computing, vol.30, issue.5, pp.2207-2234, 2007.
DOI : 10.1137/060652105

C. Desceliers, R. Ghanem, and C. Soize, Maximum likelihood estimation of stochastic chaos representations from experimental data, International Journal for Numerical Methods in Engineering, vol.11, issue.6, pp.978-1001, 2006.
DOI : 10.1002/nme.1576
URL : https://hal.archives-ouvertes.fr/hal-00686154

R. Ghanem and P. Spanos, Stochastic Finite Elements: A Spectral Approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

R. Ghanem, S. Masri, and M. Pellissetti, Identification and prediction of stochastic dynamical systems in a polynomial chaos basis, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16
DOI : 10.1016/j.cma.2004.05.031

R. Ghanem and J. Red-horse, Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach, Physica D: Nonlinear Phenomena, vol.133, issue.1-4, pp.137-144, 1999.
DOI : 10.1016/S0167-2789(99)00102-5

R. Ghanem and D. Ghosh, Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition, International Journal for Numerical Methods in Engineering, vol.64, issue.4, pp.486-504, 2007.
DOI : 10.1002/nme.2025

D. Ghosh and C. Farhat, Strain and stress computations in stochastic finite element methods, International Journal for Numerical Methods in Engineering, vol.12, issue.8, pp.1219-1239, 2008.
DOI : 10.1002/nme.2206

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

H. J. Pradlwarter, G. I. Schueller, and G. S. Szekely, Random eigenvalue problems for large systems, Computers & Structures, vol.80, issue.27-30, pp.2415-2424, 2002.
DOI : 10.1016/S0045-7949(02)00237-7

G. I. Schueller, Computational methods in stochastic mechanics and reliability analysis, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.12-16, 2005.

G. I. Schueller and H. J. Pradlwarter, Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches, Engineering Structures, vol.31, issue.11, pp.31-2507, 2009.
DOI : 10.1016/j.engstruct.2009.07.005

G. I. Schueller and H. J. Pradlwarter, Uncertainty analysis of complex structural systems, International Journal for Numerical Methods in Engineering, vol.16, issue.2, pp.881-913, 2009.
DOI : 10.1002/nme.2549

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

C. E. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

C. Soize and R. Ghanem, Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure, SIAM Journal on Scientific Computing, vol.26, issue.2, pp.395-410, 2004.
DOI : 10.1137/S1064827503424505
URL : https://hal.archives-ouvertes.fr/hal-00686211

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.1333-1366, 2005.
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187

C. Soize, Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.195, issue.4, pp.1583-1611, 2008.
DOI : 10.1002/nme.2385
URL : https://hal.archives-ouvertes.fr/hal-00684517

C. Soize, Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions, International Journal for Numerical Methods in Engineering, vol.80, issue.21-26, pp.939-970, 2010.
DOI : 10.1002/nme.2712
URL : https://hal.archives-ouvertes.fr/hal-00684322

C. Soize, Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.33-36, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00684324

J. C. Spall, Introduction to Stochastic Search and Optimization, 2003.
DOI : 10.1002/0471722138