Year: 2015
Type: preprint
Abstract: We make the simple, and yet deep, observation that a regular conditional distribution (rcd) almost surely trivialises the conditioning $σ$-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.
Source: arXiv (Cornell University)
Author: Newman, Julian
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2269650494