Asymptotic analysis of non-stationary functional series TAR estimators

2007 Mediterranean Conference on Control and Automation, MED

Volumn , Issue , 2007, Pages

  Poulimenos, A G ^a   Fassois, S D ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; DATA FUSION; ESTIMATION; INDUSTRIAL ENGINEERING; LEAST SQUARES APPROXIMATIONS; SENSOR DATA FUSION; TAR;

ANALYSIS RESULTS; ASYMPTOTIC PROPERTIES; AUTO-REGRESSIVE; CONTROL AND AUTOMATION; MONTE CARLO EXPERIMENTS; NON-STATIONARY; NON-STATIONARY SIGNALS; TIME-DEPENDENT; WEIGHTED LEAST-SQUARES;

ASYMPTOTIC ANALYSIS;

EID: 50249158583     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MED.2007.4433845     Document Type: Conference Paper

References (17)

1. M. Niedzwiecki, Identification of Time-Varying Processes. New York: John Wiley & sons, 2000.
2. A. Poulimenos and S. Fassois, "Parametric time-domain methods for non-stationary random vibration modelling and analysis - a critical survey and comparison," Mechanical Systems and Signal Processing, vol. 20, pp. 763-816, 2006.
3. F. Kozin and F. Nakajima, "The order determination problem for linear time-varying AR models," IEEE Transactions on Automatic Control, vol. 25, pp. 250-257, 1980.
4. S. Conforto and T. D'Alessio, "Spectral analysis for non-stationary signals from mechanical measurements: a parametric approach," Mechanical Systems and Signal Processing, vol. 13, pp. 395-441, 1999.
5. K. Petsounis and S. Fassois, "Non-stationary functional series TARMA vibration modelling and analysis in a planar manipulator," Journal of Sound and Vibration, vol. 231, pp. 1355-1376, 2000.
6. L. Ljung, System Identification Theory for the User (second edition). NJ: Prentice-Hall, 1999.
7. G. Kwoun and Y. Yoshihiro, "On an autoregressive model with time-dependent coefficients," Annals of the Institute of Statistical Mathematics, vol. 38, pp. 297.309, 1986.
8. R. Dahlhaus, "Fitting time series models to nonstationary processes," The Annals of Statistics, vol. 25, pp. 1-37, 1997.
9. R. Azrak and G. Melard, "Asymptotic properties of quasi-maximum likelihood estimators for ARMA models with time-dependent coefficients," Technical Report, IAP Statistics Network, 2004.
10. Y. Grenier, "Time-dependent ARMA modeling of nonstationary signals," IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 31, pp. 899-911, 1983.
11. th European Signal Processing Conference, Antalya, Turkey, 2006.
12. _, "On the estimation of non-stationary functional series TAR models - an asymptotic analysis framework," under preparation for publication, 2007.
13. R. Dahlhaus, "On the Kullback-Leibler information divergence of locally stationary processes," Stochastic Processes and their Applications, vol. 62, pp. 139-168, 1996.
14. H. White, Asymptotic Theory for Econometricians. California: Academic Press, 2001.
15. W. Greene, Econometric Analysis. NJ: Prentice-Hall, 2003.
16. J. Schott, Matrix Analysis for Statistics. New York: John Wiley & Sons, 1997.
17. H. Lilliefors, "On the Kolmogorov-Smirnov test for normality with mean and variance unknown," Journal of the American Statistical Association, vol. 62, pp. 399-402, 1967.