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.
@article{1176994992,
author = {Aldous, David and Pitman, Jim},
title = {On the Zero-one Law for Exchangeable Events},
journal = {Ann. Probab.},
volume = {7},
number = {6},
year = {1979},
pages = { 704-723},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994992}
}
Aldous, David; Pitman, Jim. On the Zero-one Law for Exchangeable Events. Ann. Probab., Tome 7 (1979) no. 6, pp. 704-723. http://gdmltest.u-ga.fr/item/1176994992/