Electronic Journal of Probability

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

Jeff Lin

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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

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

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

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

exchangeable moment problems uniqueness

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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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