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November 2018 Equivalence classes of staged trees
Christiane Görgen, Jim Q. Smith
Bernoulli 24(4A): 2676-2692 (November 2018). DOI: 10.3150/17-BEJ940

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.

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Christiane Görgen. Jim Q. Smith. "Equivalence classes of staged trees." Bernoulli 24 (4A) 2676 - 2692, November 2018. https://doi.org/10.3150/17-BEJ940

Information

Received: 1 January 2016; Revised: 1 February 2017; Published: November 2018
First available in Project Euclid: 26 March 2018

zbMATH: 06853261
MathSciNet: MR3779698
Digital Object Identifier: 10.3150/17-BEJ940

Keywords: Algebraic statistics , Chain Event Graphs , probability trees , Staged trees

Rights: Copyright © 2018 Bernoulli Society for Mathematical Statistics and Probability

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Vol.24 • No. 4A • November 2018
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