Arseni Seregin

most citedNonparametric estimation of multivariate convex-transformed densities

44 citations · 47 across the 3 of their papers we have counts for

collaborators

3 papers

math.ST2010

Uniqueness of the maximum likelihood estimator for k-monotone densities

Arseni Seregin

We prove uniqueness of the maximum likelihood estimator for the class of k-monotone densities.

math.ST2009★ 44 cited

Nonparametric estimation of multivariate convex-transformed densities

Arseni Seregin, Jon A. Wellner

We study estimation of multivariate densities $p$ of the form $p (x) = h (g (x))$ for $x \in R^{d}$ and for a fixed monotone function $h$ and an unknown convex function $g$ . The…

math.ST2009★ 3 cited

On the Grenander estimator at zero

Fadoua Balabdaoui, Hanna K. Jankowski, Marios Pavlides +2

We establish limit theory for the Grenander estimator of a monotone density near zero. In particular we consider the situation when the true density $f_{0}$ is unbounded at zero, wit…