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The curved exponential family of a staged tree. (English) Zbl 1493.62416

Summary: 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 and sufficient graphical criteria for classifying regular subfamilies and discuss implications for model selection.

MSC:

62H99 Multivariate analysis
68T99 Artificial intelligence

Software:

stagedtrees
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References:

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