Time-domain estimation of time-varying linear systems

Journal of Nonparametric Statistics

Volumn 17, Issue 3, 2005, Pages 365-383

  Chiann, Chang ^a   Morettin, Pedro A ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Kernels estimators; Locally stationary processes; Time varying systems; Wavelets

Indexed keywords

EID: 16244387347     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485250500038728     Document Type: Article

References (20)

1. Dahlhaus, R., 1997, Fitting time series models to nonstationary processes. The Annals of Statistics, 25, 1-37.
2. Robinson, P.M., 1979, Distributed lag approximation to linear time-invariant systems. The Annals of Statistics, 7, 507-515
3. Priestley, M.B., 1981, Spectral Analysis and Time Series (Academic Press).
4. Daubechies, I., 1992, Ten Lectures on Wavelets. CBMS Lecture Notes Series, SIAM.
5. Cohen, A., Daubechies, I. and Vial, P., 1993, Wavelets on the interval and fast wavelet transforms. Applied and Computational Harmonic Analysis, 1, 54-81.
6. Vidakovic, B., 1999, Statistical Modeling by Wavelets (Wiley).
7. Walter, W.W. and Cai, L., 1998, Periodic wavelets from scratch. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Preprint.
8. Meyer, Y., 1990, Ondelettes et Opérateurs I (Hermann).
9. Donoho, D.L., 1993, Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Proceedings of Symposia in Applied Mathematics, 57, 173-205, AMS.
10. Donoho, D.L. and Johnstone, I.M., 1990, Wavelets and optimal nonlinear function estimates. Technical Report no. 281, Statistics Department, University of California, Berkeley.
11. Dahlhaus, R., Neumann, M.H. and von Sachs, R., 1999, Nonlinear wavelet estimation of time-varying autoregressive processes. Bernoulli, 5, 873-906.
12. Dahlhaus, R., 1996, Asymptotic statistical inference for nonstationary processes with evolutionary spectra. In: RM. Robinson and M. Rosenblatt, (Eds) Athens Conference on Applied Probability and Time Series Analysis, Vol. II (Springer-Verlag).
13. Hardie, W. and Tsybakov, A., 1997, A local polynomial estimators of the volatility function in nonparametric autoregression. Journal of Econometrics, 81, 223-242.
14. Fan, J. and Yao, Q., 1998, Efficient estimation of conditional variance functions in stochastic regression. Biometrika, 85, 645-660.
15. Ziegelman, F.A., 2000, Nonparametric estimation of volatility functions: The local exponential estimator. Econometric Theory, 18, 985-991.
16. Harville, D.A., 1997, Matrix Algebra from a Statistician's Perspective (Springer).
17. Donoho, D.L., Johnstone, I.M., Kerkyacharian, G. and Picard, D., 1995, Wavelet shringage: Asymptopia? (with discussion). Journal of the Royal Statistical Society Series B, 57, 301-369.
18. Chiann, C. and Morettin, P.A., 1999, Estimation of time-varying linear systems. Statistical Inference for Stochastic Processes, 2, 253-285.
19. Fuller, W.A., 1976, Introduction to Statistical Time Series (Wiley).
20. Brillinger, D.R., 1975, Time Series: Data Analysis and Theory (Holt, Rinehart and Winston).