22 citations · 26 across the 3 of their papers we have counts for
3 papers
math.ST2020
Structural adaptation in the density model
Lepski O. V., Rebelles G
This paper deals with non-parametric density estimation on $\bR^2$ from i.i.d observations. It is assumed that after unknown rotation of the coordinate system the coordinates of th…
math.ST2015★ 22 cited
Pointwise adaptive estimation of a multivariate density under independence hypothesis
Gilles Rebelles
In this paper, we study the problem of pointwise estimation of a multivariate density. We provide a data-driven selection rule from the family of kernel estimators and derive for i…
math.ST2015★ 4 cited
Structural adaptive deconvolution under -losses
Gilles Rebelles
In this paper, we address the problem of estimating a multidimensional density by using indirect observations from the statistical model . Here, …