Algebraic properties of linear structural equation models

Thesis

In this thesis, we explore the problems of identifiability and finding constraints in linear structural equation models (SEMs) and explore the applications of such results.

We start by analysing the effects of interventions on linear SEMs and provide sufficient conditions for when the resulting distribution is identifiable. We then demonstrate how we could use a series of interventions to find constraints in linear SEMs, as long as each resulting distribution is identifiable.

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Authors: Yao, B

• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: graphical models; structural equation models; causal inference
• Subjects: Algebra; Statistics