Confidence Regions for Means of Random Sets using Oriented Distance Functions
Methodology
2011-06-09 v2 Statistics Theory
Applications
Statistics Theory
Abstract
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 in finding a representative, or expected, set. We consider a definition of set expectation using oriented distance functions and study the properties of the associated empirical set. Conditions are given such that the empirical average is consistent, and a method to calculate a confidence region for the expected set is introduced. The proposed method is applied to both real and simulated data examples.
Cite
@article{arxiv.0903.1869,
title = {Confidence Regions for Means of Random Sets using Oriented Distance Functions},
author = {Hanna K. Jankowski and Larissa I. Stanberry},
journal= {arXiv preprint arXiv:0903.1869},
year = {2011}
}
Comments
26 pages, 10 figures