Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet

Rida Benhaddou and Qing Liu

Journal of Nonparametric Statistics, 2019, vol. 31, issue 3, 567-595

Abstract: 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 the $L^p $Lp-risk, $1 \leq p 2, and the corresponding convergence rates do not suffer from the curse of dimensionality.

Date: 2019
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DOI: 10.1080/10485252.2019.1604953

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