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On Gaussian conditional independence structures
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SYSNO ASEP 0085049 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On Gaussian conditional independence structures Title O Gaussovských strukturách podmíněné nezávislosti Author(s) Lněnička, Radim (UTIA-B)
Matúš, František (UTIA-B) RIDSource Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 43, č. 3 (2007), s. 327-342Number of pages 16 s. Language eng - English Country CZ - Czech Republic Keywords multivariate Gaussian distribution ; positive definite matrices ; determinants ; gaussoids ; covariance selection models ; Markov perfectness Subject RIV BA - General Mathematics R&D Projects IAA100750603 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation The simultaneous occurrence of conditional independences among subvectors of a regular Gaussian vector is examined. All configurations of the conditional independences within four jointly regular Gaussian variables are found and completely characterized in terms of implications involving conditional independence statements. The statements induced by the separation in any simple graph are shown to correspond to such a configuration within a regular Gaussian vector. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2008
Number of the records: 1