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Abstract: this paper, attention has been focused on methods that treat coe#cients at least as if they were independent. However, it is intuitively clear that if one coe#cient in the wavelet array is nonzero, then it is more likely #in some appropriate sense# that neighbouring coe#cients will be also. One way of incorporating this notion is by some form of block thresholding, where coe#cients are considered in neighbouring blocks; see for example Hall et al. #1998# and Cai & Silverman #1998#. An obvious... (Update)
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...data points on the real line. Although these issues have been around for a long time, their careful study is fairly recent Silverman, 1999. As we can see, the issues that we raised are shared by many popular methods in current use and are far from being the sole appanage of...
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BibTeX entry: (Update)
Silverman, B.W. (1999). Wavelets in statistics: beyond the standard assumptions. Phil. Trans. Roy. Soc. Lond. A, 357, 000--000. http://citeseer.ist.psu.edu/article/silverman99wavelets.html More
@misc{ silverman99wavelets,
author = "B. Silverman",
title = "Wavelets in statistics: beyond the standard assumptions",
text = "Silverman, B.W. (1999). Wavelets in statistics: beyond the standard assumptions.
Phil. Trans. Roy. Soc. Lond. A, 357, 000--000.",
year = "1999",
url = "citeseer.ist.psu.edu/article/silverman99wavelets.html" }
Citations (may not include all citations):1526 Ten Lectures on Wavelets (context) - Daubechies - 1992
520 Generalized Linear Models (context) - McCullagh, Nelder - 1989
401 An Introduction to Wavelets (context) - Chui - 1992
243 Ideal spatial adaptation via wavelet shrinkage (context) - Donoho, Johnstone - 1994
198 Wavelet shrinkage: Asymptopia - Donoho, Johnstone et al. - 1995
134 Minimax estimation via wavelet shrinkage - Donoho, Johnstone - 1998
127 Wavelet threshold estimators for data with correlated noise - Johnstone, Silverman - 1997
95 a Wavelet thresholding via a Bayesian approach - Abramovich, Sapatinas et al. - 1998
90 AdaptiveBayesian wavelet shrinkage (context) - Chipman, Kolaczyk et al. - 1997
78 Translation-invariant denoising (context) - Coifman, Donoho - 1994
73 Structural image restoration through deformable templates (context) - Amit, Grenander et al. - 1991
60 Multiple shrinkage and subset selection in wavelets - Clyde, Parmigiani et al. - 1998
41 Noise reduction using an undecimated discrete wavelet transf.. - Lang, Guo et al. - 1996
40 Wavelet decomposition approaches to statistical inverse prob.. - Abramovich, Silverman - 1998
26 Wavelets on irregular pointsets - Daubechies, Sweldens - 1999
24 Extending the scope of wavelet regression methods by coe#cie.. - Kovac, Silverman - 1998
23 The discrete multiple wavelet transform and thresholding met.. - Downie, Silverman - 1998
18 Adapting to unknown smoothness bywavelet shrinkage (context) - Donoho, Johnstone - 1995
15 Block threshold rules for curve estimation using kernel and .. (context) - Hall, Kerkyacharian et al. - 1998
10 Smoothing and robust wavelet analysis (context) - Bruce, Donoho et al. - 1994
9 Biological signals that need detection: currents through sin.. (context) - Eisenberg - 1994
5 Empirical Bayes approaches to wavelet regression (context) - Johnstone, Silverman - 1998
5 Economical representation of image deformation functions usi.. - Downie, Shepstone et al. - 1998
4 neural networks and statistics (context) - Candes, Donoho - 1999
4 Incorporating information on neighboring coe#cients into wav.. - Cai, Silverman - 1998
2 Iterated reweighted least squares for maximum likelihood est.. (context) - Green - 1994
2 Stochastic atomic decompositions in awavelet dictionary (context) - Abramovich, Sapatinas et al. - 1998
2 SIAM journal of mathematical analysis (context) - Donoho, Yu - 1998
The graph only includes citing articles where the year of publication is known.
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Multivariate Nonparametric Regression Using Lifting - Jansen, Nason, Silverman (2004) (Correct)
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Wavelet Threshold Estimators for Data with Correlated Noise - Johnstone, Silverman (1997) (Correct)
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