The curved exponential family of a staged tree
Statistics Theory
2022-01-31 v3 Methodology
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2010.15515,
title = {The curved exponential family of a staged tree},
author = {Christiane Görgen and Manuele Leonelli and Orlando Marigliano},
journal= {arXiv preprint arXiv:2010.15515},
year = {2022}
}