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math.ST2018
Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet
Rida Benhaddou, Qing Liu
We look into the minimax results for the anisotropic two-dimensional functional deconvolution model with the two-parameter fractional Gaussian noise. We derive the lower bounds for…
math.ST2018
Minimax adaptive wavelet estimator for the anisotropic functional deconvolution model with unknown kernel
Rida Benhaddou, Qing Liu
In the present paper, we consider the estimation of a periodic two-dimensional function based on observations from its noisy convolution, and convolution kernel $g…
math.ST2018
Minimax adaptive wavelet estimator for the simultaneous blind deconvolution with fractional Gaussian noise
Rida Benhaddou
We construct an adaptive wavelet estimator that attains minimax near-optimal rates in a wide range of Besov balls. The convergence rates are affected only by the weakest dependence…