36 citations · 97 across the 10 of their papers we have counts for
4 papers · 1 filter
Estimation of a discrete monotone distribution
Hanna K. Jankowski, Jon A. Wellner
We study and compare three estimators of a discrete monotone distribution: (a) the (raw) empirical estimator; (b) the "method of rearrangements" estimator; and (c) the maximum like…
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions
Larissa I. Stanberry, Hanna K. Jankowski
Shape estimation and object reconstruction are common problems in image analysis. Mathematically, viewing objects in the image plane as random sets reduces the problem of shape est…
Confidence Regions for Means of Random Sets using Oriented Distance Functions
Hanna K. Jankowski, Larissa I. Stanberry
Image analysis frequently deals with shape estimation and image reconstruction. The ob jects of interest in these problems may be thought of as random sets, and one is interested i…
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 is unbounded at zero, wit…