English, Article, Journal or magazine article edition: Independence and Conditional Independence in Causal Systems Karim Chalak; Halbert White

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Bookmark: http://trove.nla.gov.au/version/73493
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Independence and Conditional Independence in Causal Systems
Author
  • Karim Chalak
  • Halbert White
Physical Description
  • preprint
Notes
  • We study the interrelations between (conditional) independence and causal relations in settable systems. We provide definitions in terms of functional dependence for direct, indirect, and total causality as well as for (indirect) causality via and exclusive of a set of variables. We then provide necessary and su¢ cient causal and stochastic conditions for (conditional) dependence among random vectors of interest in settable systems. Immediate corollaries ensure the validity of Reichenbach's principle of common cause and its informative extension, the conditional Reichenbach principle of common cause. We relate our results to notions of d-separation and D-separation in the artificial intelligence literature.
  • causality, conditional independence, d-separation, direct effect, Reichenbach principle, settable systems
  • RePEc:boc:bocoec:689
Language
  • English
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