References
Beck J (2007) Bayesian updating and model class selection of deteriorating hysteretic structural models using seismic response data. In: Proceedings of the ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, Rethymno
Beck J (2009) Using model classes in system identification for robust response predictions. In: Proceedings of COMPDYN 2009, ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, Rhodos
Beck JL (2010) Bayesian system identification based on probability logic. Struct Control Health Monit 17(7):825–847
Beck J, Katafygiotis L (1998) Updating models and their uncertainties. I: Bayesian statistical framework. ASCE J Eng Mech 124(4):455–461
Beck J, Yuen K-V (2004) Model selection using response measurements: Bayesian probabilistic approach. ASCE J Eng Mech 130(2):192–203
Cheung SH, Beck JL (2010) Calculation of posterior probabilities for bayesian model class assessment and averaging from posterior samples based on dynamic system data. Comput-Aided Civ Infrastruct Eng 25(5):304–321
Diaconis P, Ylvisaker D (1979) Conjugate priors for exponential families. Ann Stat 7(2):269–281
Gelfand A, Dey D (1994) Bayesian model choice: asymptotics and exact calculations. J R Stat Soc 56(3):501–514
Jaynes E (1957) Information theory and statistical mechanics. Phys Rev 106(4):620–630
Papadimitriou C, Beck J, Katafygiotis L (1997) Asymptotic expansions for reliability and moments of uncertain systems. ASCE J Eng Mech 123(12):1219–1229
Simoen E, Papadimitriou C, Lombaert G (2013) On prediction error correlation in Bayesian model updating. J Sound Vib 332(18):4136–4152
Soize C (2003) Probabilités et modélisation des incertitudes: éléments de base et concepts fondamentaux. Handed out at the séminaire de formation de l’école doctorale MODES, Paris
Soize C (2008) Construction of probability distributions in high dimensions using the maximum entropy principle: applications to stochastic processes, random fields and random matrices. Int J Numer Methods Eng 75:1583–1611
Yuen K-V (2010) Recent developments of Bayesian model class selection and applications in civil engineering. Struct Saf 32(5):338–346
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Simoen, E., Papadimitriou, C., Lombaert, G. (2021). Model Class Selection for Prediction Error Estimation. In: Beer, M., Kougioumtzoglou, I., Patelli, E., Au, IK. (eds) Encyclopedia of Earthquake Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36197-5_80-1
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