Open Access
Translator Disclaimer
August, 1979 On the Zero-one Law for Exchangeable Events
David Aldous, Jim Pitman
Ann. Probab. 7(4): 704-723 (August, 1979). DOI: 10.1214/aop/1176994992

Abstract

We seek conditions for the exchangeable $\sigma$-field of an independent non-identically-distributed sequence of random variables to be trivial. A simple necessary condition is given, and this condition is shown to be sufficient when the range space is finite. In the case of a general range space, a stronger condition is shown to be sufficient.

Citation

Download Citation

David Aldous. Jim Pitman. "On the Zero-one Law for Exchangeable Events." Ann. Probab. 7 (4) 704 - 723, August, 1979. https://doi.org/10.1214/aop/1176994992

Information

Published: August, 1979
First available in Project Euclid: 19 April 2007

zbMATH: 0414.60042
MathSciNet: MR537216
Digital Object Identifier: 10.1214/aop/1176994992

Subjects:
Primary: 60F20
Secondary: 60J10

Keywords: coupling , Exchangeable events , Markov chain , Zero-one law

Rights: Copyright © 1979 Institute of Mathematical Statistics

JOURNAL ARTICLE
20 PAGES


SHARE
Vol.7 • No. 4 • August, 1979
Back to Top