A note on the "conditional triviality" property for regular conditional distributions
Probability
2015-12-01 v1
Abstract
We make the simple, and yet deep, observation that a regular conditional distribution (rcd) almost surely trivialises the conditioning -algebra if and only if there exists a "measurable selection" of regular conditional distributions for almost all the measures arising out of the original rcd.
Cite
@article{arxiv.1511.08864,
title = {A note on the "conditional triviality" property for regular conditional distributions},
author = {Julian Newman},
journal= {arXiv preprint arXiv:1511.08864},
year = {2015}
}