On Minimax Wavelet Estimators
نویسندگان
چکیده
منابع مشابه
On the Minimax Optimality of Block Thresholded Wavelet Estimators with Long Memory Data
We consider the estimation of nonparametric regression function with long memory data and investigate the asymptotic rates of convergence of estimators based on block thresholding. We show that the estimators achieve optimal minimax convergence rates over a large class of functions that involve many irregularities of a wide variety of types, including chip and Doppler functions, and jump discon...
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Inverting the distortion of signals and images in presence of additive noise is often numerically unstable. To solve these ill-posed inverse problems, we study linear and non-linear diagonal estimators in an orthogonal basis. General conditions are given to build nearly minimax optimal estimators with a thresholding in an orthogonal basis. As an application, we study the deconvolution of bounde...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1996
ISSN: 1063-5203
DOI: 10.1006/acha.1996.0017