An algebraic characterisation of staged trees : their geometry and causal implications

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 insid...

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Main Author:	Görgen, Christiane
Published:	University of Warwick 2017
Subjects:	511 QA Mathematics
Online Access:	https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.723141

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record_format	oai_dc
spelling	ndltd-bl.uk-oai-ethos.bl.uk-7231412019-03-05T15:28:20ZAn algebraic characterisation of staged trees : their geometry and causal implicationsGörgen, Christiane2017This 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.511QA MathematicsUniversity of Warwickhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.723141http://wrap.warwick.ac.uk/91331/Electronic Thesis or Dissertation
collection	NDLTD
sources	NDLTD
topic	511 QA Mathematics
spellingShingle	511 QA Mathematics Görgen, Christiane An algebraic characterisation of staged trees : their geometry and causal implications
description	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.
author	Görgen, Christiane
author_facet	Görgen, Christiane
author_sort	Görgen, Christiane
title	An algebraic characterisation of staged trees : their geometry and causal implications
title_short	An algebraic characterisation of staged trees : their geometry and causal implications
title_full	An algebraic characterisation of staged trees : their geometry and causal implications
title_fullStr	An algebraic characterisation of staged trees : their geometry and causal implications
title_full_unstemmed	An algebraic characterisation of staged trees : their geometry and causal implications
title_sort	algebraic characterisation of staged trees : their geometry and causal implications
publisher	University of Warwick
publishDate	2017
url	https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.723141
work_keys_str_mv	AT gorgenchristiane analgebraiccharacterisationofstagedtreestheirgeometryandcausalimplications AT gorgenchristiane algebraiccharacterisationofstagedtreestheirgeometryandcausalimplications
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An algebraic characterisation of staged trees : their geometry and causal implications

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