Electronic Communications in Probability

Subdiagonal and Almost Uniform Distributions

Paul Ressel

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Abstract

A distribution (function) $F$ on $[0,1]$ with $F(t)$ less or equal $t$ for all $t$ is called subdiagonal. The extreme subdiagonal distributions are identified as those whose distribution functions are almost surely the identity, or equivalently for which $F \circ F = F$. There exists a close connection to exchangeable random orders on $\{1,2,3,...\}$.

Article information

Source
Electron. Commun. Probab., Volume 7 (2002), paper no. 10, 97-100.

Dates
Accepted: 10 September 2001
First available in Project Euclid: 16 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1463434777

Digital Object Identifier
doi:10.1214/ECP.v7-1051

Mathematical Reviews number (MathSciNet)
MR1902597

Zentralblatt MATH identifier
1010.60023

Subjects
Primary: 60E99: None of the above, but in this section
Secondary: 60E15: Inequalities; stochastic orderings 46A55: Convex sets in topological linear spaces; Choquet theory [See also 52A07]

Keywords
Subdiagonal distribution almost uniform distribution exchangeable random order

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

Citation

Ressel, Paul. Subdiagonal and Almost Uniform Distributions. Electron. Commun. Probab. 7 (2002), paper no. 10, 97--100. doi:10.1214/ECP.v7-1051. https://projecteuclid.org/euclid.ecp/1463434777


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References

  • Hirth, U. and Ressel, P. (2000), Exchangeable Random Orders and Almost Uniform Distributions, J. Theoretical Probability 13, 609-634.