论文信息 - Nonparametric high resolution spectral estimation

Nonparametric high resolution spectral estimation

SummaryThe uniform rate of convergence of the integrated relative mean square error over a (with the sample sizeT) increasing classIT of stationary processes is studied for several estimates of the spectral density. The classIT is chosen in a way such that estimates with a good uniform rate of convergence overIT may be termed ‘high resolution spectral estimates’. By using this criterion several effects are explained theoretically, for example the leakage effect. The advantages uf using data tapers are proved and the use of local and global bandwiths are studied. Furthermore, the behaviors of segment estimates are studied. Simulations are presented for the illustration of some effects.

Rainer Dahlhaus | R. Dahlhaus

[1] Rainer Dahlhaus,et al. Small Sample Effects in Time Series Analysis: A New Asymptotic Theory and a New Estimate , 1988 .

[2] Donald G. Childers,et al. Modern Spectrum Analysis , 1978 .

[3] D. B. Preston. Spectral Analysis and Time Series , 1983 .

[4] Rainer Dahlhaus. SPECTRAL ANALYSIS WITH TAPERED DATA , 1983 .

[5] C. Granger,et al. Advanced Seminar on Spectral Analysis of Time Series. , 1968 .

[6] C. Chatfield,et al. Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[7] Peter Bloomfield,et al. Fourier Analysis of Time Series: An Introduction , 1977 .

[8] David R. Brillinger,et al. Time Series: Data Analysis and Theory. , 1982 .

[9] Wolfgang Härdle,et al. On Bootstrapping Kernel Spectral Estimates , 1992 .

[10] M. Bartlett. Periodogram analysis and continuous spectra. , 1950, Biometrika.

[11] I. G. Žhurbenko. On the Efficiency of Spectral Density Estimates of a Stationary Process. II , 1981 .

[12] E. J. Hannan,et al. Multiple time series , 1970 .

[13] P. Welch. The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .