Minimax lower bounds for the simultaneous wavelet deconvolution with fractional Gaussian noise and unknown kernels

Rida Benhaddou

Statistics & Probability Letters, 2018, vol. 140, issue C, 91-95

Abstract: Lower bounds are constructed for estimators of a function in the simultaneous deconvolution with fractional Gaussian noise and unknown kernels, and are expressed as the maxima between two terms that represent the noise sources and their weakest Long-range dependence.

Keywords: Simultaneous wavelet deconvolution; Blind deconvolution; Besov space; Long-range dependence; Minimax convergence rate (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.05.002

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