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by Michael H. Neumann, Rainer Von Sachs
http://www-stat.stanford.edu/reports/rvs/aniso.ps.gz
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Abstract:

Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra

Citations

369 Ideal spatial adaptation by wavelet shrinkage – Donoho, Johnstone - 1994
325 Fast wavelet transforms and numerical algorithms I – Beylkin, Coifman, et al. - 1991
257 Spectral Analysis and Time Series – Priestley - 1981
175 Wavelets on the interval and fast wavelet transforms – Cohen, Daubechies, et al. - 1993
98 Wavelet shrinkage: asymptopia? (with discussion – Donoho, Johnstone, et al. - 1995
70 Asymptotic equivalence of nonparametric regression and white noise – Brown, Low - 1996
67 Ideal denoising in an orthonormal basis chosen from a library of bases – Donoho, Johnstone - 1994
58 Fitting Time Series Models to Nonstationary Processes – Dahlhaus - 1997
43 Ondelettes sur l'intervalle – Meyer - 1991
40 Wigner-Ville spectral analysis of nonstationary processes – Martin, Flandrin - 1985
38 best-ortho-basis: A connection – Donoho, “CART - 1997
33 Wavelet smoothing of evolutionary spectra by nonlinear thresholding – Sachs, Schneider - 1996
25 Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series – Neumann - 1996
24 Approximation of Functions of Several Variables and Imbedding Theorems – Nikol'skii - 1975
23 Wavelet estimation of spectral densities in time series analysis – Gao - 1993
19 Wavelet estimators, global error measures: revisited – Delyon, Juditsky - 1993
16 On the efficiency of wavelet estimators under arbitrary error distributions – Neumann, Spokoiny - 1995
13 On the Kullback–Leibler information divergence of locally stationary processes, Stochastic Process – Dahlhaus - 1996
13 Wavelet thresholding: beyond the Gaussian I.I.D. situation – Neumann, Sachs - 1995
11 Asymptotic statistical inference for nonstationary processes with evolutionary spectra – Dahlhaus - 1996
11 Asymptotic equivalence of density estimation and white noise – Nussbaum - 1994
9 A general lemma on probabilities of large deviations – Rudzkis, Saulis, et al. - 1978
8 Practical estimation of multivariate densities using wavelet methods – Tribouley - 1995
6 Martingales with a multidimensional parameter and stochastic integrals in the plane – Walsh - 1986
5 Fourier series – Edwards - 1982
4 Estimation des densit'es: risque mimimax – Bretagnolle, Huber - 1979
4 Large deviations for estimates of spectrum of stationary series – Rudzkis - 1978
3 Bases of wavelets in spaces of differentiable functions of anisotropic smoothness – Berkolajko, Novikov - 1992