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Second-Order Credal Combination of Evidence
University of Skövde, School of Humanities and Informatics. University of Skövde, The Informatics Research Centre.
Department of Computer and Systems Sciences, DSV, Stockholm University, DSV, Forum 100, Kista, Sweden.
2013 (English)Conference paper, Published paper (Refereed)
Abstract [en]

We utilize second-order probability distributions for modeling second-order information over imprecise evidence in the form of credal sets. We generalize the Dirichlet distribution to a shifted version, denoted the S-Dirichlet, which allows one to restrict the support of the distribution by lower bounds. Based on the S-Dirichlet distribution, we present a simple combination schema denoted as second-order credal combination (SOCC), which takes second-order probability into account. The combination schema is based on a set of particles, sampled from the operands, and a set of weights that are obtained through the S-Dirichlet distribution. We show by examples that the second-order probability distribution over the imprecise joint evidence can be remarkably concentrated and hence that the credal combination operator can significantly overestimate the imprecision.

Place, publisher, year, edition, pages
2013. 169-178 p.
Keyword [en]
Second-order credal combination, Imprecise probability, Credal sets, Second-order probability, Combination, Evidence
National Category
Computer and Information Science
Research subject
Technology
Identifiers
URN: urn:nbn:se:his:diva-8545ISBN: 978-2-913923-35-5 OAI: oai:DiVA.org:his-8545DiVA: diva2:656850
Conference
ISIPTA'13 - Eighth International Symposium on Imprecise Probability: Theory and Applications, Heuristics and Diagnostics for Complex Systems Laboratory, Compiègne University, France , July 2-5 2013
Available from: 2013-10-17 Created: 2013-10-17 Last updated: 2015-12-28Bibliographically approved

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