文章基本信息

标题：The curved exponential family of a staged tree
本地全文：下载
作者：Christiane Görgen ; Manuele Leonelli ; Orlando Marigliano 等
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2022
卷号：16
期号：1
页码：2607-2620
DOI：10.1214/22-EJS1984
语种：English
出版社：Institute of Mathematical Statistics
摘要：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.
关键词：62H99;68T99;Bayesian Information Criterion;chain event graph;curved exponential family;Graphical model;staged tree