## Electronic Communications in Probability

### Subdiagonal and Almost Uniform Distributions

Paul Ressel

#### 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

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

Rights