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On pointwise adaptive nonparametric deconvolution - MaRDI portal

On pointwise adaptive nonparametric deconvolution (Q1962758)

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scientific article; zbMATH DE number 1396209
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English
On pointwise adaptive nonparametric deconvolution
scientific article; zbMATH DE number 1396209

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    On pointwise adaptive nonparametric deconvolution (English)
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    10 January 2001
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    Let \(f\) be an unknown function from which only convoluted observations under white noise are available. In this paper kernel smoothing is applied to obtain nonparametric estimators of \(f(t_0)\) that can adapt to the unknown smoothness of \(f\) and achieve the minimax rate of convergence.
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    adaptive estimation
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    deconvolution
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    rates of convergence
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