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Equivalence classes of staged trees

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Görgen, Christiane and Smith, J. Q. (2018) Equivalence classes of staged trees. Bernoulli, 24 (4A). pp. 2676-2692. doi:10.3150/17-BEJ940 ISSN 1350-7265.

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Official URL: http://doi.org/10.3150/17-BEJ940

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH): Mathematical statistics, Probabilities
Journal or Publication Title: Bernoulli
Publisher: Int Statistical Institute
ISSN: 1350-7265
Official Date: 26 March 2018
Dates:
DateEvent
26 March 2018Published
27 February 2017Accepted
Volume: 24
Number: 4A
Page Range: pp. 2676-2692
DOI: 10.3150/17-BEJ940
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 2 March 2017
Date of first compliant Open Access: 23 April 2018
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/L505110/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/K039628/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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