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On Dependence in Second-Order Probability
Department of Computer and Systems Sciences, Stockholm University, Sweden.
University of Skövde, School of Humanities and Informatics. University of Skövde, The Informatics Research Centre.
2012 (English)In: Scalable Uncertainty Management: 6th International Conference, SUM 2012, Marburg, Germany, September 17-19, 2012. Proceedings / [ed] Eyke Hüllermeier, Sebastian Link, Thomas Fober & Bernhard Seeger, Springer Berlin/Heidelberg, 2012, 379-391 p.Conference paper, (Refereed)
Abstract [en]

We present a notion, relative independence, that models independence in relation to a predicate. The intuition is to capture the notion of a minimum of dependencies among variables with respect to the predicate. We prove that relative independence coincides with conditional independence only in a trivial case. For use in second-order probability, we let the predicate express first-order probability, i.e. that the probability variables must sum to one in order to restrict dependency to the necessary relation between probabilities of exhaustive and mutually exclusive events. We then show examples of Dirichlet distributions that do and do not have the property of relative independence. These distributions are compared with respect to the impact of further dependencies, apart from those imposed by the predicate.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2012. 379-391 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 7520
Keyword [en]
Imprecise probability, second-order probability, dependency
National Category
Computer and Information Science
Research subject
Technology
Identifiers
URN: urn:nbn:se:his:diva-6579DOI: 10.1007/978-3-642-33362-0_29Scopus ID: 2-s2.0-84867607625ISBN: 978-3-642-33361-3 ISBN: 978-3-642-33362-0 OAI: oai:DiVA.org:his-6579DiVA: diva2:563795
Conference
6th International Conference, SUM 2012, Marburg, Germany, September 17-19, 2012
Available from: 2012-10-31 Created: 2012-10-29 Last updated: 2015-12-29Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf