Exchangeable Random Orders and Almost Uniform Distributions

Ulrich Hirth and Paul Ressel
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Ulrich Hirth: Kath. Universität Eichstätt
Paul Ressel: Kath. Universität Eichstätt

Journal of Theoretical Probability, 2000, vol. 13, issue 3, 609-634

Abstract: Abstract Random orders on $$\mathbb{N}$$ 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.

Keywords: exchangeable; random order; almost uniform distribution (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1007805925957

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