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Nested markov properties for acyclic directed mixed graphs

Abstract:

Conditional independence models associated with directed acyclic graphs (DAGs) may be characterized in at least three different ways: via a factorization, the global Markov property (given by the dseparation criterion), and the local Markov property. Marginals of DAG models also imply equality constraints that are not conditional independences; the well-known ‘Verma constraint’ is an example. Constraints of this type are used for testing edges, and in a computationally efficient marginalizati...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1214/22-AOS2253

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Jesus College
Role:
Author
ORCID:
0000-0002-9341-1313
Publisher:
Institute of Mathematical Statistics
Journal:
Annals of Statistics More from this journal
Volume:
51
Issue:
1
Pages:
334-361
Publication date:
2023-03-23
Acceptance date:
2022-12-14
DOI:
ISSN:
0090-5364
Language:
English
Keywords:
Pubs id:
1315149
Local pid:
pubs:1315149
Deposit date:
2022-12-14

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