On the characterization of exchangeable sequences through reverse-martingale empirical distributions
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It is a well-known fact that an exchangeable sequence has empirical distributions that form a reverse-martingale. This paper is devoted to the proof of the converse statement. As a byproduct of the proof for the binary case, we introduce and discuss the notion of two-coloring exchangeability.
| Original language | English |
|---|---|
| Article number | 56 |
| Journal | Electronic Communications in Probability |
| Volume | 28 |
| Pages (from-to) | 1-11 |
| ISSN | 1083-589X |
| DOIs | |
| Publication status | Published - 2023 |
Bibliographical note
Publisher Copyright:
© 2023, Institute of Mathematical Statistics. All rights reserved.
- empirical distributions, exchangeability, reverse-martingales
Research areas
ID: 382444251