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Published on: September 19, 2012
The Measurement of Qualitative Probability
1University of Kentucky
Abstract:
This essay presents necessary and sufficient conditions for representing a binary relation on a space of bounded random variables with a unique quantitative expectations operator. This result is used to provide a new characterization of qualitative probability. We also show that two distinct probability measures can induce the same qualitative ordering of events, even though they always produce different qualitative expectations relations. Copyright 2000 Academic Press.
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