# Staged trees are curved exponential families.

@article{Gorgen2020StagedTA, title={Staged trees are curved exponential families.}, author={Christiane Gorgen and Manuele Leonelli and Orlando Marigliano}, journal={arXiv: Statistics Theory}, year={2020} }

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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