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arxiv: 1806.00558 · v2 · pith:W3U3TH7Nnew · submitted 2018-06-01 · 🧮 math.ST · stat.TH

Minimax adaptive wavelet estimator for the simultaneous blind deconvolution with fractional Gaussian noise

classification 🧮 math.ST stat.TH
keywords adaptiveestimatorminimaxnoiserateswaveletaccountaffected
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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 amongst the channels, and take into account both noise sources.

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