Some context-specific graphical models for discrete longitudinal data

David Edwards; Smitha Ankinakatte

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arXiv · 1311.5066

Some context-specific graphical models for discrete longitudinal data

David Edwards·Smitha Ankinakatte

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Abstract

Ron et al (1998) introduced a rich family of models for discrete longitudinal data, called acyclic probabilistic finite automata. These may be described as context-specific graphical models, since they are represented as directed multigraphs that embody context-specific conditional independence relations. Here we develop the methodology from a statistical modelling perspective. We show how likelihood ratio tests may be constructed using standard contingency table methods, and indicate how these may be used in model selection. We also show that the models generalize certain subclasses of conventional undirected and directed graphical models.

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David Edwards, Smitha Ankinakatte. 2014-08-13. Some context-specific graphical models for discrete longitudinal data. https://arxiv.org/abs/1311.5066

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