Ordering ordinal probability distributions

Ordering ordinal probability distributions

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Article ID: iaor20062399
Country: Spain
Volume: 6
Issue: 1
Start Page Number: 3
End Page Number: 18
Publication Date: May 2001
Journal: Fuzzy Economic Review
Authors:
Keywords: fuzzy sets, economics, statistics: distributions
Abstract:

We consider the problem of ordering probability distributions which take the values in a set having only an ordering. Using the cumulative distribution function we are able to introduce some fundamental properties required of such procedures. We then consider ordering procedures that are based on the mapping of a probability distribution into a single value. Finally we consider an ordering procedure that involves a pairwise comparison of the probability distributions.

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