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math.ST2008★ 56 cited
Universal pointwise selection rule in multivariate function estimation
Alexander Goldenshluger, Oleg Lepski
In this paper, we study the problem of pointwise estimation of a multivariate function. We develop a general pointwise estimation procedure that is based on selection of estimators…
math.ST2007★ 30 cited
Structural adaptation via -norm oracle inequalities
A. Goldenhsluger, O. Lepski
In this paper we study the problem of adaptive estimation of a multivariate function satisfying some structural assumption. We propose a novel estimation procedure that adapts simu…