A de Finetti-type representation of joint hierarchically exchangeable arrays on directed acyclic graphs
Probability
2021-04-23 v2
Abstract
We define joint exchangeability on arrays indexed by a vector of natural numbers with coordinates being the vertices of directed acyclic graphs (DAGs) using local isomorphisms. The notion provides a new version of exchangeability, which is a joint version of hierarchical exchangeability defined in Jung, L., Staton, Yang (2020). We also prove the existence of a generic representation by independent uniform random variables.
Keywords
Cite
@article{arxiv.2006.13091,
title = {A de Finetti-type representation of joint hierarchically exchangeable arrays on directed acyclic graphs},
author = {Jiho Lee},
journal= {arXiv preprint arXiv:2006.13091},
year = {2021}
}
Comments
23 pages, 3 figures