A solution to the static frame validation challenge problem using Bayesian model selection

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 29-32, 2008, Pages 2540-2549

  Grigoriu, M D ^a   Field Jr , R V ^b  

^a Cornell University   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Bayesian analysis; Model selection; Model validation; Random fields

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL EFFICIENCY; OPTIMIZATION; STRUCTURAL ANALYSIS; TECHNICAL PRESENTATIONS; UNCERTAINTY ANALYSIS;

MODEL SELECTION; STATIC FRAME VALIDATION;

BAYESIAN NETWORKS;

BAYESIAN NETWORKS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL EFFICIENCY; OPTIMIZATION; STRUCTURAL ANALYSIS; TECHNICAL PRESENTATIONS; UNCERTAINTY ANALYSIS;

EID: 43049157536     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.09.023     Document Type: Article

References (11)

1. Babuška I., Nobile F., and Tempone R. Formulation of the static frame problem. Comput. Methods Appl. Mech. Engrg. 197 29-32 (2008) 2496-2499
2. Hills R.G., Pilch M., Dowding K.J., Red-Horse J., Paez T., Babuška I., and Tempone R. Validation challenge workshop. Comput. Meth. Appl. Mech. Engrg. 197 29-32 (2008) 2375-2380
3. R.V. Field, Jr., Methods for model selection in applied science and engineering, Tech. Rep. SAND2004-5082, Sandia National Laboratories (2004).
4. Grigoriu M., Veneziano D., and Cornell C.A. Probabilistic modeling as decision making. J. Engrg. Mech. 105 4 (1979) 585-596
5. E.S. Keeping, Introduction to Statistical Inference, Dover, 1995.
6. Zellner A. An Introduction to Bayesian Inference in Econometrics (1971), John Wiley & Sons, Inc.
7. Berger J.O. Statistical Decision Theory and Bayesian Analysis. second ed. (1985), Springer
8. Grigoriu M. Applied Non-Gaussian Processes (1995), PTR Prentice-Hall, Englewood Cliffs, NJ
9. Grigoriu M. Stochastic Calculus: Applications in Science and Engineering (2002), Birkhäuser, Boston, MA
10. Johnson N.L., Kotz S., and Balakrishnan N. Continuous Univariate Distributions. second ed. vol. 2 (1995), John Wiley & Sons, Inc., New York, NY
11. Raiffa H., and Schlaifer R. Applied Statistical Decision Theory (1961), The M.I.T. Press, Cambridge, Massachusetts