3 citations · 3 across the 5 of their papers we have counts for
7 papers
A note on badly approximable linear forms on manifolds
Paloma Bengoechea, Nikolay Moshchevitin, Natalia Stepanova
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable points in submanifolds of a Euclidian space. We study the problem in the area of…
Variable selection with Hamming loss
Cristina Butucea, Mohamed Ndaoud, Natalia A. Stepanova +1
We derive non-asymptotic bounds for the minimax risk of variable selection under expected Hamming loss in the Gaussian mean model in for classes of -sparse vector…
Adaptive variable selection in nonparametric sparse additive models
Cristina Butucea, Natalia Stepanova
We consider the problem of recovery of an unknown multivariate signal observed in a -dimensional Gaussian white noise model of intensity . We assume that be…
Goodness-of-fit tests based on sup-functionals of weighted empirical processes
Natalia Stepanova, Tatjana Pavlenko
A large class of goodness-of-fit test statistics based on sup-functionals of weighted empirical processes is proposed and studied. The weight functions employed are Erdős-Feller-Ko…
On estimation of analytic density in L_p
Natalia Stepanova
The problem of estimation of analytic density function using L_p minimax risk is considered. A kernel-type estimator of an unknown density function is proposed and the upper bound…
An extremal problem with applications to testing multivariate independence
Alexander Nazarov, Natalia Stepanova
Some problems of statistics can be reduced to extremal problems of minimizing functionals of smooth functions defined on the cube , . In this paper, we study a cl…
On asymptotic efficiency of multivariate version of Spearman's rho
Alexander Nazarov, Natalia Stepanova
A multivariate version of Spearman's rho for testing independence is considered. Its asymptotic efficiency is calculated under a general distribution model specified by the depende…