Structural Dynamics with Parameter Uncertainties, Applied Mechanics Reviews, vol.40, issue.3, pp.309-328, 1987. ,
DOI : 10.1115/1.3149532
Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998, Applied Mechanics Reviews, vol.52, issue.5, pp.177-197, 1999. ,
DOI : 10.1115/1.3098933
A state-of-the-art report on computational stochastic mechanics, Probabilistic Engineering Mechanics, vol.12, pp.197-321, 1997. ,
Computational stochastic mechanics ??? recent advances, Computers & Structures, vol.79, issue.22-25, pp.2225-2234, 2001. ,
DOI : 10.1016/S0045-7949(01)00078-5
Stochastic Finite Elements:A Spectral Approach, 1991. ,
A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000. ,
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293
Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001. ,
DOI : 10.1121/1.1360716
URL : https://hal.archives-ouvertes.fr/hal-00686287
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
Reduced chaos decomposition with random coeffi, p.32 ,
DOI : 10.1016/j.cma.2008.12.035
URL : https://hal-upec-upem.archives-ouvertes.fr/hal-00684487/file/publi-2009-CMAME-198_21-26_1926-1934-soize-ghanem-preprint.pdf
The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938. ,
DOI : 10.2307/2371268
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations, SIAM Journal on Scientific Computing, vol.24, issue.2, pp.619-644, 2002. ,
DOI : 10.1137/S1064827501387826
Information Theory and Statistics, 1968. ,
Mathematical Methods of Statistics, 1946. ,
Probabilistic equivalence and stochastic model reduction in multiscale analysis, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.43-44, pp.3584-3592, 2008. ,
DOI : 10.1016/j.cma.2008.03.016
Probabilistic model identification of uncertainties in computational models for dynamical systems and experimental validation, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.1, pp.150-163, 2008. ,
DOI : 10.1016/j.cma.2008.04.007
URL : https://hal.archives-ouvertes.fr/hal-00686138
Inversion of probabilistic structural models using measured transfer functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.589-608, 2008. ,
DOI : 10.1016/j.cma.2007.08.011
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
A probabilistic construction of model validation, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.29-32, pp.2585-2595, 2008. ,
DOI : 10.1016/j.cma.2007.08.029
On asymptotic properties of maximum likeli, p.33 ,
Probability and Related Fields, pp.143-163, 1995. ,
Stochastic spectral methods for efficient Bayesian solution of inverse problems, AIP Conference Proceedings, pp.560-586, 2007. ,
DOI : 10.1063/1.2149785
A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems, Communications in Computational Physics, vol.6, issue.4, pp.826-847, 2009. ,
DOI : 10.4208/cicp.2009.v6.p826
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems, Journal of Computational Physics, vol.228, issue.6, pp.1862-1902, 2009. ,
DOI : 10.1016/j.jcp.2008.11.024
Asymptotic sampling distribution for polynomial chaos representation of data: A maximum entropy and fisher information approach, SIAM Journal on Scientific Computing, vol.28, pp.2207-2234, 2008. ,
On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data, Journal of Computational Physics, vol.217, issue.1, pp.63-81, 2006. ,
DOI : 10.1016/j.jcp.2006.01.037
The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals, The Annals of Mathematics, vol.48, issue.2, pp.385-392, 1947. ,
DOI : 10.2307/1969178
Inverse Problem Theory and Methods for Model Parameter Estimation, 2005. ,
DOI : 10.1137/1.9780898717921
Bayesian Data Analysis, 2003. ,
Bayesian theory, 2000. ,
DOI : 10.1002/9780470316870
Probability Theory: The Logic of Science, 2003. ,
DOI : 10.1017/CBO9780511790423
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, p.15831611, 2008. ,
DOI : 10.1002/nme.2385
URL : https://hal.archives-ouvertes.fr/hal-00684517
A probabilistic approach to uncertainty quantification with limited information, Reliability Engineering & System Safety, vol.85, issue.1-3, pp.183-190, 2004. ,
DOI : 10.1016/j.ress.2004.03.011
Monte Carlo Statistical Methods, 2005. ,
On Estimation of a Probability Density Function and Mode, The Annals of Mathematical Statistics, vol.33, issue.3, pp.1065-1076, 1962. ,
DOI : 10.1214/aoms/1177704472
Remarks on Some Nonparametric Estimates of a Density Function, The Annals of Mathematical Statistics, vol.27, issue.3, pp.832-837, 1956. ,
DOI : 10.1214/aoms/1177728190
Multivariate Density Estimation: Theory, Practice, and Visualization, 1992. ,
DOI : 10.1002/9781118575574
Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983. ,
DOI : 10.1126/science.220.4598.671
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
Genetic Algorithms in Search, Optimization and Machine Learning, 1989. ,
Aeroelasticity of Plates and Shells, Journal of Applied Mechanics, vol.43, issue.2, 1974. ,
DOI : 10.1115/1.3423871
Nonlinear plate aeroelastic response with uncertain stiffness and boundary conditions, Structure and Infrastructure Engineering, vol.26, issue.3-4, pp.201-220, 2006. ,
DOI : 10.2514/3.6041
Bayesian stochastic inversion: first-order marginal posterior PDF over p 0 1 for the data set of length 25 estimated from 10, pp.1000-5000 ,