Electronic Journal of Probability

A negative answer to a problem of Aldous on determination of exchangeable sequences

Jeff Lin

Full-text: Open access

Abstract

We present results concerning when the joint distribution of an exchangeable sequence is determined by the marginal distributions of its partial sums. The question of whether or not this determination occurs was posed by David Aldous. We then consider related uniqueness problems, including a continuous time analog to the Aldous problem and a randomized univariate moment problem.

Article information

Source
Electron. J. Probab., Volume 21 (2016), paper no. 30, 26 pp.

Dates
Received: 2 July 2015
Accepted: 2 April 2016
First available in Project Euclid: 14 April 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1460652931

Digital Object Identifier
doi:10.1214/16-EJP4403

Mathematical Reviews number (MathSciNet)
MR3492934

Zentralblatt MATH identifier
1385.60047

Subjects
Primary: 60-02: Research exposition (monographs, survey articles)

Keywords
exchangeable moment problems uniqueness

Rights
Creative Commons Attribution 4.0 International License.

Citation

Lin, Jeff. A negative answer to a problem of Aldous on determination of exchangeable sequences. Electron. J. Probab. 21 (2016), paper no. 30, 26 pp. doi:10.1214/16-EJP4403. https://projecteuclid.org/euclid.ejp/1460652931


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References

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