Uniform and individual convergence rates for convex density classes

Meister Alexander

Statistics & Risk Modeling, 2008, vol. 26, issue 1, 25-34

Abstract: In this paper, we prove coincidence of uniform and individual convergence rates for convex density classes, which are Baire spaces with respect to the L1(Rd)-metric, in the field of nonparametric estimation. We show that for convex density classes, which are no Baire spaces, the validity of this result is not guaranteed, in general.

Keywords: deconvolution; density estimation; minimax rates; nonparametric estimation; speed of convergence (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1524/stnd.2008.0910

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