## Electronic Journal of Probability

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

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

#### 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