179 citations · 328 across the 16 of their papers we have counts for
16 papers
Minimax estimation of norms of a probability density: II. Rate-optimal estimation procedures
Alexander Goldenshluger, Oleg Lepski
In this paper we develop rate--optimal estimation procedures in the problem of estimating the --norm, of a probability density from independent observations…
Minimax estimation of norms of a probability density: I. Lower bounds
Alexander Goldenshluger, Oleg Lepski
The paper deals with the problem of nonparametric estimating the --norm, , of a probability density on , from independent observations. The unk…
Estimation in the convolution structure density model. Part II: adaptation over the scale of anisotropic classes
Oleg Lepski, Thomas Willer
This paper continues the research started in \cite{LW16}. In the framework of the convolution structure density model on $\bR^d$, we address the problem of adaptive minimax estimat…
Estimation in the convolution structure density model. Part I: oracle inequalities
Oleg Lepski, Thomas Willer
We study the problem of nonparametric estimation under $\bL_p$-loss, , in the framework of the convolution structure density model on $\bR^d$. This observation sch…
Some new ideas in nonparametric estimation
Oleg Lepski
In the framework of an abstract statistical model we discuss how to use the solution of one estimation problem ({\it Problem A}) in order to construct an estimator in another, comp…
Adaptive estimation over anisotropic functional classes via oracle approach
Oleg Lepski
We address the problem of adaptive minimax estimation in white gaussian noise model under --loss, on the anisotropic Nikolskii classes. We present the est…