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Wavelet block thresholding for samples with random design: A minimax approach under the Lp risk
Regression with random design wavelets block thresholding
2009/9/18
We consider the regression model with (known) random design. We investigate the minimax performances of an adaptive wavelet block thresholding estimator under the Lp risk with p >2 over Besov balls. W...
Statistical minimax approach of the Hausdorff moment problem
Minimax estimation Statistical inverse problems Problemof the moments Legendre polynomials Kullback-Leibler information
2010/4/29
The purpose of this paper is to study the problem of estimating a compactly
supported function from noisy observations of its moments in an ill-posed
inverse problem framework. We provide a statisti...