On statistical model validation

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 118, Issue 2, 1996, Pages 226-236

  Lee, L H ^a   Poolla, K ^a  

^a University of Caiitornia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009888703     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.2802308     Document Type: Article

References (28)

1. Applegate, D., and Kannan, R., “Sample and Integration of Near Log-Concave Functions,” Comp. Science Report CMU, 1990.
2. Barany, I., and Furedi, Z., “Computing the Volume is Difficult,” Proc. of the 18th Annual Symp. on Theory of Computing, pp. 442-447, 1986.
3. Belisle, C. J. P., Romejin, H. E., and Smith, R. L., “Hit-and-Run Algorithms for Generating Multivariate Distributions,” Mathematics' of Operations Research, Vol. 18, No. 2, pp. 255-266, 1993.
4. Dyer, M. E., and Frieze, A. M., “On the Complexity of Computing the Volume of a Polyhedron,” SIAM J, Computing, Vol. 17, pp. 967-974, 1988.
5. Goodwin, G. C., Gevers, M., and Ninness, B., “Quantifying the Error in Estimated Transfer Functions with Application to Model Selection,” IEEE TAC, Vol. 37, pp. 913-928, July 1992.
6. Gu, G., and Khargonekar, P. P., “Linear and Nonlinear Algorithms for Identification in flos with Error Bounds,” IEEE TAC, Vol. 37, pp. 953-963, July 1992.
7. m,” IEEE TAC, Vol. 36, pp. 1163-1176, Oct 1991.
8. Karwan, M. H., ed., Redundancy in Mathematical Programming, SpringerVerlag, New York, 1993.
9. Kearns, M. J., and Vazirani, U. V., Topics in Computational Learning Theory, preprint, 1993.
10. Khachiyan, L. G., “On the Complexity of Computing the Volume of a Polytope,” Izvestia Acad. Nauk. SSSR Engr. Cybernetics, Vol. 3, pp. 216-217, 1988. (in Russian)
11. Kosut, R. L., Lau, M., and Boyd, S., “Set-Membership Identification of Systems with Parametric and Nonparametric Uncertainties,” IEEE TAC, Vol. 37, pp. 929-941, July 1992.
12. Krause, J. M., and Khargonekar, P. P., “Parameter Identification in the Presence of Nonparametric Dynamic Uncertainty,” Automatica, Vol. 26, pp. 113-124, Jan. 1990.
13. Lee, L., and Poolla, K., “Statistical Validation for Uncertainty Models,” Control, Complexity, and Identification: A festschrift for Professor George Zames, Springer-Verlag, 1994.
14. Lee, L. H., and Poolla, K., “Statistical Validation and Testability of Uncertainty Models,” submitted for publication to Automatica.
15. Ljung, L., System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ, 1987.
16. Ljung, L., and Yuan, Z.-D., “Asymptotic Properties of Black-Box Identification of Transfer Functions,” IEEE TAC, Vol. 30, pp. 514-530, June 1985.
17. Makila, P. M., and Partington, J. R., “Robust Approximation and Identification in Proc. of the 1991 ACC, pp. 70-76, 1991.
18. Meyn, S. P., and Tweedie, R. L., Markov Chains and Stochastic Stability, Springer-Verlag, New York, 1993.
19. Partington, J. R., “Robust Identification and Interpolation in,” Int. J. Contr., Vol. 54, pp. 1281-1290, 1991.
20. Poolla, K., Khargonekar, P. P., Tikku, A., Krause, J., and Nagpal, K. M., “A Time-Domain Approach to Model Validation,” IEEE TAC, Vol. 39, No. 5, pp. 951-959, 1994.
21. Popper, K., Conjectures and Refutations, Harper and Row, 1963.
22. Smith, R. L., “Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed Over Bounded Regions,” Operations Research, Vol. 32, No. 6, pp. 1296-1308, 1984.
23. Smith, R., and Doyle, J. C., “Towards a Methodology for Robust Parameter Identification,” IEEE TAC, Vol. 37, pp. 942-952, July 1992.
24. Tempo, R., and Wasilkowski, G., “Maximum Likelihood Estimators and Worst Case Optimal Algorithms for System Identification,” Systems and Control Letters, Vol. 10, pp. 265-270, 1988.
25. Tse, D. N. C., Dahleh, M. A., and Tsitsiklis, J. N., “Optimal Asymptotic Identification Under Bounded Disturbances,” IEEE TAC, Vol. 38, pp. 1176-1190, 1993.
26. Valiant, L. G., “A Theory of the Learnable,” Communications of the ACM, Vol. 27, pp. 1134-1142, 1984.
27. Younce, R. C., and Rohrs, C. E., “Identification with Non-Parametric Uncertainties,” IEEE TAC, Vol. 37, pp. 715-728, June 1992.
28. Zames, G., Lin, L., and Wang, L. Y., “Fast Identification n-Width and Uncertainty Principles for LTI and Slowly Varying Systems,” IEEE TAC, Vol. 39, pp. 1827-1838, Sept 1994.