Browsing by Subject "Thresholding"
Now showing items 1-10 of 10
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Article
Multichannel deconvolution with long range dependence: Upper bounds on the Lp-risk (1 ≤ p < ∞)
(2015)We consider multichannel deconvolution in a periodic setting with long-memory errors under three different scenarios for the convolution operators, i.e., super-smooth, regular-smooth and box-car convolutions. We investigate ...
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Article
Nonlinear spectral density estimation: Thresholding the correlogram
(2012)Traditional kernel spectral density estimators are linear as a function of the sample autocovariance sequence. The purpose of this article is to propose and analyse two new spectral estimation methods that are based on the ...
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Article
Nonlinear spectral density estimation: Thresholding the correlogramAAA
(2012)Traditional kernel spectral density estimators are linear as a function of the sample autocovariance sequence. The purpose of this article is to propose and analyse two new spectral estimation methods that are based on the ...
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Article
Nonparametric regression estimation based on spatially inhomogeneous data: Minimax global convergence rates and adaptivity
(2014)We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known density g with a finite number of ...
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Article
On Bayesian testimation and its application to wavelet thresholding
(2010)We consider the problem of estimating the unknown response function in the Gaussian white noise model. We first utilize the recently developed Bayesian maximum a posteriori testimation procedure of Abramovich et al. (2007) ...
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Article
On convergence rates equivalency and sampling strategies in functional deconvolution models
(2010)Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a wide range of Besov balls and for the ...
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On the estimation of the function and its derivatives in nonparametric regression: A bayesian testimation approach
(2011)We consider the problem of estimating the unknown response function and its deriva- tives in the standard nonparametric regression model. Recently, Abramovich et al. (2010) applied a Bayesian testimation procedure in a ...
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Article
Signal detection in underwater sound using wavelets
(1998)This article considers the use of wavelet methods in relation to a common signal processing problem, that of detecting transient features in sound recordings that contain interference or distortion. In this particular case, ...
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Article
Wavelet estimators in nonparametric regression: A comparative simulation study
(2001)Wavelet analysis has been found to be a powerful tool for the nonparametric estimation of spatially-variable objects. We discuss in detail wavelet methods in nonparametric regression, where the data are modelled as ...
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Article
Wavelet thresholding via a Bayesian approach
(1998)We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in nonparametric regression. A prior distribution is imposed on the wavelet coefficients of the unknown response function, designed ...