An algebraic characterisation of staged trees : their geometry and causal implications
Christiane Görgen · Warwick Research Archive Portal (University of Warwick) · 2017
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.