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Adaptive nonparametric estimation for Lévy processes observed at low frequency
Authors:Johanna Kappus
Affiliation:Institut für Mathematik, Universität Rostock, 18051 Rostock, Germany
Abstract:This article deals with adaptive nonparametric estimation for Lévy processes observed at low frequency. For general linear functionals of the Lévy measure, we construct kernel estimators, provide upper risk bounds and derive rates of convergence under regularity assumptions.
Keywords:  vy process   Nonparametric estimation   Adaptive estimation   Deconvolution   Model selection
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