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dc.contributor.author
Peters, Jonas
dc.date.accessioned
2021-05-13T14:27:13Z
dc.date.available
2019-12-06T11:03:01Z
dc.date.available
2019-12-06T13:57:48Z
dc.date.available
2021-05-13T14:27:13Z
dc.date.issued
2015-03
dc.identifier.issn
2193-3685
dc.identifier.issn
2193-3677
dc.identifier.other
10.1515/jci-2014-0015
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/383354
dc.identifier.doi
10.3929/ethz-b-000383354
dc.description.abstract
This work investigates the intersection property of conditional independence. It states that for random variables A,B,C and X we have that X⊥⊥A|B,C and X⊥⊥B|A,C implies X⊥⊥(A,B)|C. Here, “ ⊥⊥” stands for statistical independence. Under the assumption that the joint distribution has a density that is continuous in A,B and C, we provide necessary and sufficient conditions under which the intersection property holds. The result has direct applications to causal inference: it leads to strictly weaker conditions under which the graphical structure becomes identifiable from the joint distribution of an additive noise model.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
De Gruyter
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Probability theory
en_US
dc.subject
Causal discovery
en_US
dc.subject
Graphical models
en_US
dc.title
On the Intersection Property of Conditional Independence and its Application to Causal Discovery
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2014-10-28
ethz.journal.title
Journal of Causal Inference
ethz.journal.volume
3
en_US
ethz.journal.issue
1
en_US
ethz.pages.start
97
en_US
ethz.pages.end
108
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
en_US
ethz.identifier.wos
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02537 - Seminar für Statistik (SfS) / Seminar for Statistics (SfS)::03502 - Bühlmann, Peter L. / Bühlmann, Peter L.
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02537 - Seminar für Statistik (SfS) / Seminar for Statistics (SfS)::03502 - Bühlmann, Peter L. / Bühlmann, Peter L.
en_US
ethz.date.deposited
2019-12-06T11:03:12Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-12-06T13:57:59Z
ethz.rosetta.lastUpdated
2020-02-15T22:54:24Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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