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Handbook of Graphical Models
- 1.0497345 - ÚTIA 2019 RIV US eng M - Monography Chapter
Studený, Milan
Conditional Independence and Basic Markov Properties.
Handbook of Graphical Models. Boca Raton: CRC Press, 2018 - (Maathuis, M.; Drton, M.; Lauritzen, S.; Wainwright, M.), s. 3-38. Chapman & Hall/CRC Handbooks of Modern Statistical Methods. ISBN 9781498788625
R&D Projects: GA ČR(CZ) GA16-12010S
Institutional support: RVO:67985556
Keywords : conditional independence * undirected graphs * directed acycclic graphs
OECD category: Pure mathematics
http://library.utia.cas.cz/separaty/2018/MTR/studeny-0497345.pdf
In this chapter, the concept of conditional independence (CI) is recalled and an overview of both former and recent results on the description of CI structures is given. The traditional graphical models, namely those ascribed to undirected graphs (UGs) and directed acyclic graphs (DAGs), can be interpreted as special cases of statistical models of a CI structure. Therefore, an overview of Markov properties for these two basic types of graphs is also given.
Permanent Link: http://hdl.handle.net/11104/0290639
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