Bayesian nonlinear structural equation modeling for hierarchical validation of dynamical systems

作者: Xiaomo Jiang , Sankaran Mahadevan , Angel Urbina

DOI: 10.1016/J.YMSSP.2009.10.002

关键词:

摘要: Abstract This paper presents a new Bayesian nonlinear structural equation modeling approach to hierarchical model assessment of dynamic systems, considering uncertainty in both predicted and measured time series data. A generalized with latent variables is presented two sets relationships multivariate assessment, namely, the computational system-level data, low-level data network Markov Chain Monte Carlo simulation Gibbs sampling developed represent estimate influencing factors between them. interval hypothesis testing-based method employed quantify confidence predictive at various levels. The effect on system level identified by inference factor analysis. proposed methodology implemented for validation three problems.

参考文章(56)
DANNY LYNN GREGORY, BRIAN R RESOR, RONALD G COLEMAN, DAVID ORA SMALLWOOD, Experimental Investigations of an Inclined Lap-Type Bolted Joint Other Information: PBD: 1 Apr 2003. ,(2003) , 10.2172/810683
RICHARD GUY HILLS, TIMOTHY G TRUCANO, Statistical Validation of Engineering and Scientific Models: A Maximum Likelihood Based Metric Other Information: PBD: 1 Jan 2002. ,(2002) , 10.2172/791881
Muni S. Srivastava, Methods of Multivariate Statistics ,(2002)
G. E. P. Box, D. R. Cox, An Analysis of Transformations Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 26, pp. 211- 243 ,(1964) , 10.1111/J.2517-6161.1964.TB00553.X
P. G. Stoica, Randolph L. Moses, Introduction to spectral analysis ,(1997)
Kevin J. Dowding, Ian H. Leslie, Michael L. Hobbs, Brian Milne Rutherford, Richard Guy Hills, Martin M. Pilch, Case study for model validation : assessing a model for thermal decomposition of polyurethane foam. Sandia National Laboratories. ,(2004) , 10.2172/919109
Timothy G Trucano, Robert G Easterling, Kevin J Dowding, Thomas L Paez, Angel Urbina, Vicente J Romero, Brian M Rutherford, RICHARD GUY HILLS, Description of the Sandia Validation Metrics Project Conference title not supplied, Conference location not supplied, Conference dates not supplied. ,(2001)
Julie M. Legler, Louise M. Ryan, Louise M. Ryan, Latent Variable Models for Teratogenesis Using Multiple Binary Outcomes Journal of the American Statistical Association. ,vol. 92, pp. 13- 20 ,(1997) , 10.1080/01621459.1997.10473598