Linking Models and Experiments, Volume 2

8. REFERENCES [1] Silverman, B. W., Density Estimation for Statistics and Data Analysis, Chapman and Hall, London, 1986. [2] Robert, C. P., and Casella, G., Monte Carlo Statistical Methods: Second Edition, Springer Texts in Statistics: New York, 2004. [3] Urbina, A., Uncertainty Quantification and Decision Making in Hierarchical Development of Computational Models, Ph. D. Dissertation, Vanderbilt University, 2009. [4] Stasiunas, E. C., Simmermacher, T. W., “Development of a Constitutive Model For a Carbon Foam Material,” Proceedings of the International Modal Analysis Conference, Feb, 2005. [5] Marwala, T., Sibisi, S. , “Finite Element Model Updating Using Bayesian Framework and Modal Properties,” AIAA Journal of Aircraft, Vol. 42, No 1, Pg 275 – 278, 2005. [6] Hanson, K. M., and Hemez, F. ,“Bayesian Calibration of Material Models Based on Taylor Impact Tests,” Proceedings of the NECDC, 2002. [7] Neal, R, “Slice Sampling,” Annals of Statistics, Vol. 31, No 3, pp 705-767, 2003. [8] Statistics Toolbox User’s Guide, The Mathworks, Inc. : Massachusetts, 2010. [9] Kennedy, M. C. and O’Hagan, A. “Bayesian Calibration of Computer Models,” Journal of the Royal Statistical Society, Series B (Statistical Methodology), Vol. 63, No. 3, pp. 425-464, 2001. [10] Johnson, N. L., “Systems of Frequency Curves Generated by Methods of Translation,” Biometrika Trust, Vol. 36, No. ½, pp. 149-176, 1949. 229

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