Exchangeable Random Orders and Almost Uniform Distributions |
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Authors: | Ulrich Hirth Paul Ressel |
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Affiliation: | (1) Kath. Universität Eichstätt, Ostenstr. 26, D-85071 Eichstätt, Germany |
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Abstract: | Random orders on invariant under permutations are called exchangeable. The compact and convex set of all random total orders is shown to be a Bauer simplex whose set of extreme points, the socalled totally ordered paintbox processes, is homeomorphically parametrized by almost uniform distributions on the unit interval, i.e. by probability measures w on [0, 1] whose distribution functions are w-almost surely the identity. |
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Keywords: | exchangeable random order almost uniform distribution |
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