0497345 20240103221020.820181130235959.9 536 36 s. P cav_un_epca*04973449781498788625Part I Conditional indepencies and Markov properties3-38Boca RatonCRC Press2018MaathuisMarloesDrtonMathiasLauritzenSteffenWainwrightMartin conditional independence undirected graphs directed acycclic graphs cav_un_auth*0101202 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Studený Milan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2018/MTR/studeny-0497345.pdf GA16-12010S GA ČR CZ cav_un_auth*0332303 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. BA 10000 10100 10101 2019 1 RVO:67985556 http://hdl.handle.net/11104/0290639 S 2018 SCOPUS PUBMED WOS cav_un_epca*0497344 Handbook of Graphical Models Part I Conditional indepencies and Markov properties CRC Press 2018 Boca Raton 3 38 9781498788625 Chapman & Hall/CRC Handbooks of Modern Statistical Methods 340 Maathuis Marloes 340 Drton Mathias 340 Lauritzen Steffen 340 Wainwright Martin