论文标题
连接层次可交换阵列的de Finetti型代表在定向的无环图上
A de Finetti-type representation of joint hierarchically exchangeable arrays on directed acyclic graphs
论文作者
论文摘要
我们通过自然数的向量索引阵列定义关节交换性，坐标是使用局部同构的定向无环图（DAG）的顶点。该概念提供了一个新版本的交换性，该版本是在Jung，L。，Staton，Yang（2020）中定义的层次交换性的联合版本。我们还通过独立的统一随机变量证明了通用表示的存在。
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.
