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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
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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 > 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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| Date of first compliant deposit: | 2 March 2017 | |||||||||
| 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 | |||||||||
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