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math.ST2012
Anisotropic Denoising in Functional Deconvolution Model with Dimension-free Convergence Rates
Rida Benhaddou, Marianna Pensky, Dominique Picard
In the present paper we consider the problem of estimating a periodic -dimensional function based on observations from its noisy convolution. We construct a wavelet esti…
math.ST2012
Adaptive Nonparametric Empirical Bayes Estimation Via Wavelet Series: the Minimax Study
Rida Benhaddou, Marianna Pensky
In the present paper, we derive lower bounds for the risk of the nonparametric empirical Bayes estimators. In order to attain the optimal convergence rate, we propose generalizatio…