3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…