The curved exponential family of a staged tree

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dc.contributor.authorLeonelli, Manuele
dc.contributor.authorGörgen, Christiane
dc.contributor.authorMarigliano, Orlando
dc.contributor.rorhttps://ror.org/02jjdwm75
dc.date.accessioned2025-04-01T10:33:34Z
dc.date.available2025-04-01T10:33:34Z
dc.date.issued2022-04-08
dc.description.abstractStaged 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.
dc.description.peerreviewedyes
dc.description.statusPublished
dc.formatapplication/pdf
dc.identifier.citationGörgen, 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.
dc.identifier.doihttps://doi.org/10.1214/22-EJS1984
dc.identifier.issn1935-7524
dc.identifier.urihttps://hdl.handle.net/20.500.14417/3680
dc.issue.number1
dc.journal.titleElectronic Journal of Statistics
dc.language.isoen
dc.page.final2620
dc.page.initial2607
dc.page.total14
dc.publisherProject euclid
dc.relation.departmentComputer Science and AI
dc.relation.entityIE University
dc.relation.schoolIE School of Science & Technology
dc.rightsAttribution 4.0 International
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed
dc.subject.keywordBayesian information criterion
dc.subject.keywordChain event graph
dc.subject.keywordCurved exponential family
dc.subject.keywordGraphical model
dc.subject.keywordStaged tree.
dc.titleThe curved exponential family of a staged tree
dc.typeinfo:eu-repo/semantics/article
dc.version.typeinfo:eu-repo/semantics/publishedVersion
dc.volume.number16
dspace.entity.typePublication
relation.isAuthorOfPublicationbc86b9eb-18b3-4fab-bf14-ad6f5509312f
relation.isAuthorOfPublication.latestForDiscoverybc86b9eb-18b3-4fab-bf14-ad6f5509312f

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