An Aldous--Hoover Theorem for Radon Distributions
Probability
2023-07-10 v2 Logic
Abstract
We show that the Aldous--Hoover Theorem, giving representations for exchangeable arrays of Borel-valued random variables, extends to random variables where the common distribution of the random variables is Radon, or even merely compact, a weaker condition that does not even require that the values come from a Hausdorff space. This extends work of Alam \cite{alam2023generalizing} who showed a similar generalization of the di Finetti--Hewitt-Savage Theorem.
Keywords
Cite
@article{arxiv.2306.03057,
title = {An Aldous--Hoover Theorem for Radon Distributions},
author = {Henry Towsner},
journal= {arXiv preprint arXiv:2306.03057},
year = {2023}
}