The use of kernel densities and confidence intervals to cope with insufficient data in validation experiments

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 29-32, 2008, Pages 2550-2560

  Pradlwarter, H J ^a   Schueller G I ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Confidence level; Failure probability; Insufficient data; Kernel density; Stochastic; Validation

Indexed keywords

CALIBRATION; FAILURE (MECHANICAL); PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES;

CALIBRATION DATA; KERNEL DENSITIES;

DATA PROCESSING;

CALIBRATION; DATA PROCESSING; FAILURE (MECHANICAL); PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES;

EID: 43049106413     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.09.028     Document Type: Article

References (10)

1. Abramson I. On bandwidth variation in kernel estimation - a square root law. Ann. Stat. 10 (1982) 1217-1223
2. Foster P. A comparative study of some bias correction techniques for kernel-based density estimators. J. Stat. Comput. Simulat. 51 (1995) 137-152
3. Hall P., Hu T., and Marron J. Improved variable windows kernel estimates of probability densities. Ann. Statist. 23 (1995) 1-10
4. I. Babuska, F. Nobile, R. Tempone, Model validation challenge problem: static frame problem Sandia, Validation Workshop, November 7, 2005, Sandia, Albuquerque, NM, USA, 2005.
5. Babuska I., Nobile F., and Tempone R. Model validation challenge problem: static frame problem. Comput. Methods Appl. Engrg. 193 (2004) 4057-4066
6. Babuska I., and Oden J.T. Verification and validation in computational engineering and science: basic concepts. Comput. Methods Appl. Engrg. 193 (2004) 4057-4066
7. W.L. Oberkampf, T.G. Trucano, C. Hirsch, Verification, validation, and predictive capability, in: Computational Engineering and Physics Sandia National Laboratories (SAND2003-3769), Albuquerque, NM 87185, USA, 2003.
8. F.M. Hemez, S.W. Doebling, Test-analysis correlation and finite element model updating for nonlinear, in: Transient Dynamics 17th SEM Int. Modal Analysis Conf., Kissimmee, FL, USA, February 8-11, 1999, pp. 1501-1510.
9. P.J. Roache, Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, NM, USA, 1998.
10. Freudenthal A.M. Safety and the probability of structural failure. Transactions of ASCE Proc. Paper 2843 121 (1956) 1337-1397