Staged trees are curved exponential families

10/29/2020 ∙ by Christiane Görgen, et al. ∙ 0

Staged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical representation. We give necessary graphical criteria for classifying regular subfamilies and discuss implications for model selection.

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