3 papers
math.ST2022
Adaptive estimation for the nonparametric bivariate additive model in random design with long-memory dependent errors
Rida Benhaddou, Qing Liu
We investigate the nonparametric bivariate additive regression estimation in the random design and long-memory errors and construct adaptive thresholding estimators based on wavele…
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…