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Uncertainty Levels of Second-Order Probability
Stockholm University, Faculty of Social Sciences, Department of Computer and Systems Sciences.
2013 (English)In: POLIBITS Research Journal on Computer Science and Computer Engineering With Applications, ISSN 1870-9044, no 48, 5-11 p.Article in journal (Refereed) Published
Abstract [en]

Since second-order probability distributions assign probabilities to probabilities there is uncertainty on two levels. Although different types of uncertainty have been distinguished before and corresponding measures suggested, the distinction made here between first- and second-order levels of uncertainty has not been considered before. In this paper previously existing measures are considered from the perspective of first- and second-order uncertainty and new measures are introduced. We conclude that the concepts of uncertainty and informativeness needs to be qualified if used in a second-order probability context and suggest that from a certain point of view information can not be minimized, just shifted from one level to another.

Place, publisher, year, edition, pages
2013. no 48, 5-11 p.
Keyword [en]
Uncertainty, entropy, second-order probability
National Category
Information Systems
Research subject
Computer and Systems Sciences
Identifiers
URN: urn:nbn:se:su:diva-98597OAI: oai:DiVA.org:su-98597DiVA: diva2:684528
Available from: 2014-01-08 Created: 2014-01-08 Last updated: 2017-12-06Bibliographically approved

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http://polibits.gelbukh.com/2013_48/Uncertainty%20Levels%20of%20Second-Order%20Probability.pdf

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