Equivalence Classes of Staged Trees
Statistics Theory
2017-05-29 v4 Methodology
Statistics Theory
Abstract
In this paper we give a complete characterization of the statistical equivalence classes of CEGs and of staged trees. We are able to show that all graphical representations of the same model share a common polynomial description. Then, simple transformations on that polynomial enable us to traverse the corresponding class of graphs. We illustrate our results with a real analysis of the implicit dependence relationships within a previously studied dataset.
Keywords
Cite
@article{arxiv.1512.00209,
title = {Equivalence Classes of Staged Trees},
author = {Christiane Görgen and Jim Q. Smith},
journal= {arXiv preprint arXiv:1512.00209},
year = {2017}
}
Comments
18 pages, 4 figures