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The curved exponential family of a staged tree

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The curved exponential family of a staged tree.pdf (272.48 KB)
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2022-04-08
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https://hdl.handle.net/20.500.14417/3680
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https://doi.org/10.1214/22-EJS1984
Abstract
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.
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IE School of Science & Technology
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Görgen, C., Leonelli, M., & Marigliano, O. (2022). The curved exponential family of a staged tree. Electronic Journal of Statistics, 16(1), 2607-2620. https://doi.org/10.1214/22-EJS1984.
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