Abstract
ABSTRACTIn this paper we study a particular multidimensional deconvolution problem. The distribution of the noise is assumed to be of the form , where δ is the Dirac mass at , is a density and . We propose a new minimax estimation procedure, which is not based on a Fourier approach, but on a fixed-point method. The performances of the procedure are studied over isotropic Besov balls for loss functions, . A numerical study illustrates the method.
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