Bernoulli

  • Bernoulli
  • Volume 24, Number 4A (2018), 2676-2692.

Equivalence classes of staged trees

Christiane Görgen and Jim Q. Smith

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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.

Article information

Source
Bernoulli, Volume 24, Number 4A (2018), 2676-2692.

Dates
Received: January 2016
Revised: February 2017
First available in Project Euclid: 26 March 2018

Permanent link to this document
https://projecteuclid.org/euclid.bj/1522051221

Digital Object Identifier
doi:10.3150/17-BEJ940

Mathematical Reviews number (MathSciNet)
MR3779698

Zentralblatt MATH identifier
06853261

Keywords
algebraic statistics Chain Event Graphs probability trees staged trees

Citation

Görgen, Christiane; Smith, Jim Q. Equivalence classes of staged trees. Bernoulli 24 (2018), no. 4A, 2676--2692. doi:10.3150/17-BEJ940. https://projecteuclid.org/euclid.bj/1522051221


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