论文标题
弯曲的一棵树的弯曲指数家族
The curved exponential family of a staged tree
论文作者
论文摘要
上演的树模型是贝叶斯网络的离散概括。我们表明，这些形式弯曲的指数族，并得出其自然参数，足够的统计量和累积的生成功能作为其图形表示的功能。我们提供了对常规亚家族分类并讨论对模型选择的含义的必要图形标准。
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.
