Wavelet Analysis and its Statistical Applications
By Felix Abramovich, Trevor C. Bailey, Theofanis Sapatinas. 2000
272 citations recorded by the source corpus.
Subfields: Analytical Chemistry, Computer Vision and Pattern Recognition, Signal Processing
View Paper: https://www.semanticscholar.org/paper/54c0d53fd3fb45a25c484dc8422d1bdd7e48301d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Analytical Chemistry
- Anestis Antoniadis
- Paul S. Addison
- Theofanis Sapatinas
- Felix Abramovich
- Jianqing Fan
- Jérémie Bigot
- Panagiotis Besbeas
- Guy P. Nason
In Computer Vision and Pattern Recognition
- Anestis Antoniadis
- Jianqing Fan
- Theofanis Sapatinas
- Jérémie Bigot
- Paul S. Addison
- Guy P. Nason
- Maarten Jansen
- Felix Abramovich
In Signal Processing
- Paul S. Addison
- Guy P. Nason
- Anestis Antoniadis
- Maarten Jansen
- Felix Abramovich
- Theofanis Sapatinas
- Panagiotis Besbeas
- Jérémie Bigot
Citations in the corpus
- Wavelet transforms and the ECG: a review (2005, methodology): “The reader is referred instead to Abramovich et al (2000) for a concise summary of the commonly used wavelet thresholding methods together with a comprehensive list of references on the subject.)”
- Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes (2003, background): “For comprehensive expositions and reviews on wavelets in statistical settings we refer, for example, to [1,5,6,43].”
- Regularization of Wavelet Approximations (2001, background): “They correspond to the lower and upper envelopes of a class of the penalized least squares estimators.”
- Real nonparametric regression using complex wavelets (2004, unknown): “For more detailed introductions to wavelets in statistics, see Vidakovic (1999) or Abramovich et al. (2000). Section 3 introduces our two new proposals for the estimation of real signals by using complex wavelets and derives a risk bound for one of them.”
- Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study (2001, methodology): “During the 1980s and 1990s, the literature was inundated by hundreds (and perhaps thousands) of papers regarding various linear (on a fixed spatial scale) estimators to the nonparametric regression problem.”
- Multiscale methods for data on graphs and irregular multidimensional situations (2009, background): “See, for example, Vidakovic (1999), Silverman and Vassilicos (2000), Percival and Walden (2000) and Abramovich et al. (2000) for reviews.”
- Empirical Bayes approach to block wavelet function estimation (2002, methodology): “Finally, due to the vague priors imposed on the scaling coefficients cj0k and using (2), any of the above losses will result in estimating cj0k by their empirical counterparts ĉj0k.”