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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
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 | |||||||||
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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: |
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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: |
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