• Corpus ID: 225103125

Staged trees are curved exponential families.

@article{Grgen2020StagedTA,
  title={Staged trees are curved exponential families.},
  author={Christiane G{\"o}rgen 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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