A de Finetti-type representation of joint hierarchically exchangeable arrays on DAGs

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Alea-Latin American Journal of Probability and Mathematical Statistics Pub Date : 2022-01-01 DOI:10.30757/alea.v19-36

Jiho Lee

引用次数: 1

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.

查看原文本刊更多论文

dag上联合层次可交换数组的de fineti型表示

。利用局部同构定义了以有向无环图的顶点为坐标的自然数向量索引的数组上的联合可交换性。这个概念提供了一个新的可交换性版本，它是Jung, L.， Staton, Yang(2020)中定义的分层可交换性的联合版本。我们还用独立的一致随机变量证明了一般表示的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Alea-Latin American Journal of Probability and Mathematical Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： ALEA publishes research articles in probability theory, stochastic processes, mathematical statistics, and their applications. It publishes also review articles of subjects which developed considerably in recent years. All articles submitted go through a rigorous refereeing process by peers and are published immediately after accepted. ALEA is an electronic journal of the Latin-american probability and statistical community which provides open access to all of its content and uses only free programs. Authors are allowed to deposit their published article into their institutional repository, freely and with no embargo, as long as they acknowledge the source of the paper. ALEA is affiliated with the Institute of Mathematical Statistics.