3 citations · 10 across the 5 of their papers we have counts for
5 papers
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…
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…
Nonequilibrium density fluctuations for the zero range process with colour
Hanna Jankowski
We examine the fluctuations of the empirical density measure for the colour version of the symmetric nearest neighbour zero range particle systems in dimension one. We show that th…
Logarithmic Sobolev inequality for the inhomogeneous zero range process
Hanna Jankowski
We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N^2. We apply this result to the…