Bayesian system identification based on probability logic

Yuen, 2010, Bayesian Methods for Structural Dynamics and Civil Engineering, 10.1002/9780470824566

Beck, 1991, Proceedings First International Conference on Computational Stochastic Mechanics, 125, 10.1007/978-94-011-3692-1_12

Beck, 1998, Updating models and their uncertainties. I: Bayesian statistical framework, Journal of Engineering Mechanics, 124, 455, 10.1061/(ASCE)0733-9399(1998)124:4(455)

Katafygiotis, 1998, Updating models and their uncertainties. II: Model identifiability, Journal of Engineering Mechanics, 124, 463, 10.1061/(ASCE)0733-9399(1998)124:4(463)

Katafygiotis, 2002, Tangential-projection algorithm for manifold representation in unidentifiable model updating problems, Earthquake Engineering and Structural Dynamics, 31, 791, 10.1002/eqe.122

Papadimitriou, 2001, Updating robust reliability using structural test data, Probabilistic Engineering Mechanics, 16, 103, 10.1016/S0266-8920(00)00012-6

Yuen, 2004, Structural damage detection and assessment using adaptive Markov Chain Monte Carlo simulation, Journal of Structural Control and Health Monitoring, 11, 327, 10.1002/stc.47

Muto, 2008, Bayesian updating and model class selection using stochastic simulation, Journal of Vibration and Control, 14, 7, 10.1177/1077546307079400

Beck JL. Probability logic, information quantification and robust predictive system analysis 2008

Cox, 1946, Probability, frequency and reasonable expectation, American Journal of Physics, 14, 1, 10.1119/1.1990764

Cox, 1961, The Algebra of Probable Inference, 10.56021/9780801869822

Jaynes, 1983, Papers on Probability, Statistics and Statistical Physics

Jaynes, 2003, Probability Theory: The Logic of Science, 10.1017/CBO9780511790423

Jaynes, 1957, Information theory and statistical mechanics, Physical Review, 106, 620, 10.1103/PhysRev.106.620

Kolmogorov, 1950, Foundations of the Theory of Probability

Loredo, 1990, Maximum Entropy and Bayesian Methods, 81, 10.1007/978-94-009-0683-9_6

Bishop, 2006, Pattern Recognition and Machine Learning

Oh, 2008, Bayesian learning using automatic relevance determination prior with an application to earthquake early warning, Journal of Engineering Mechanics, 134, 1013, 10.1061/(ASCE)0733-9399(2008)134:12(1013)

Neal RM. Probabilistic inference using Markov Chain Monte Carlo methods 1993

Robert, 2004, Monte Carlo Statistical Methods, 10.1007/978-1-4757-4145-2

Beck, 2002, Bayesian updating of structural models and reliability using Markov Chain Monte Carlo simulation, Journal of Engineering Mechanics, 128, 380, 10.1061/(ASCE)0733-9399(2002)128:4(380)

Ching, 2007, Transitional Markov Chain Monte Carlo method for Bayesian updating, model class selection, and model averaging, Journal of Engineering Mechanics, 133, 816, 10.1061/(ASCE)0733-9399(2007)133:7(816)

Ching, 2006, Structural model updating and health monitoring with incomplete modal data using Gibbs Sampler, Computer-Aided Civil and Infrastructure Engineering, 21, 242, 10.1111/j.1467-8667.2006.00432.x

Cheung SH. Stochastic analysis, model and reliability updating of complex systems with applications to structural dynamics 2009

Cheung, 2009, Bayesian model updating using Hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters, Journal of Engineering Mechanics, 135, 243, 10.1061/(ASCE)0733-9399(2009)135:4(243)

Beck, 2004, Model selection using response measurements: a Bayesian probabilistic approach, Journal of Engineering Mechanics, 130, 192, 10.1061/(ASCE)0733-9399(2004)130:2(192)

Cheung SH Beck JL. New Bayesian updating methodology for model validation and robust predictions based on data from hierarchical subsystem tests 2008

Cheung, 2010, Calculation of the posterior probability for Bayesian model class assessment and averaging from posterior samples based on dynamic system data, Computer-Aided Civil and Infrastructure Engineering, 25, 304, 10.1111/j.1467-8667.2009.00642.x

Mackay DJC. Bayesian methods for adaptive models 1992

Cover, 2006, Elements of Information Theory

Ching J Muto M Beck JL. Bayesian linear structural model updating using Gibbs sampler with modal data 2005

Gull, 1989, Maximum Entropy and Bayesian Methods, 53, 10.1007/978-94-015-7860-8_4

Jeffreys, 1961, Theory of Probability

Box, 1970, Time Series Analysis: Forecasting and Control

Akaike, 1974, A new look at the statistical model identification, IEEE Transactions on Automatic Control, 19, 716, 10.1109/TAC.1974.1100705

Schwarz, 1978, Estimating the dimension of a model, The Annals of Statistics, 6, 461, 10.1214/aos/1176344136

Hoeting, 1999, Bayesian model averaging: a tutorial (with Discussion), Statistical Science, 14, 382

Cheung SH Beck JL. Comparison of different model classes for Bayesian updating and robust predictions using stochastic state-space system models 2009

Johnson, 2004, Phase I IASC-ASCE structural health monitoring benchmark problem using simulated data, Journal of Engineering Mechanics, 130, 3, 10.1061/(ASCE)0733-9399(2004)130:1(3)

Schueller, 2007, Benchmark study on reliability estimation in higher dimensions of structural systems-an overview, Structural Safety, 29, 167, 10.1016/j.strusafe.2006.07.010

Au, 2001, First excursion probabilities for linear systems by very efficient importance sampling, Probabilistic Engineering Mechanics, 16, 193, 10.1016/S0266-8920(01)00002-9

Taflanidis, 2008, An efficient framework for optimal robust stochastic system design using stochastic simulation, Computer Methods in Applied Mechanics and Engineering, 198, 88, 10.1016/j.cma.2008.03.029

Schueller, 2008, Computational methods in optimization considering uncertainties-An overview, Computer Methods in Applied Mechanics and Engineering, 198, 2, 10.1016/j.cma.2008.05.004