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An algebraic characterisation of staged trees : their geometry and causal implications
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Görgen, Christiane (2017) An algebraic characterisation of staged trees : their geometry and causal implications. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3084201~S15
Abstract
This dissertation develops the mathematical formalism to analyse now established staged tree models which are graphical, discrete and parametric statistical models. We investigate the properties of these models in three important settings: geometrically, specifying these as algebraic varieties inside a probability simplex; statistically, characterising the class of all graphical representations of the same family of probability distributions; and philosophically, formulating putative causal hypotheses inferred from a class of staged trees.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Trees (Graph theory), Graphical modeling (Statistics), Mathematical statistics, Algebra | ||||
Official Date: | 12 April 2017 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Department of Statistics | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Smith, J. Q., 1953- | ||||
Format of File: | |||||
Extent: | x, 146 leaves : illustrations | ||||
Language: | eng |
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