Joint hierarchical exchangeability on directed acyclic graphs = 비순환 유향그래프에서의 위계적 결합교환 가능성

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We extend hierarchical exchangeability on directed acyclic graphs to joint exchangeability, and prove a de Finetti-type representation theorem using independent uniform random variables. Contrary to the past results that rely on Hoover's result which is based on symbolic logic and nonstandard analysis, we obtain an independent probabilistic proof using conditional independence between associated random variables.
Advisors
Jung, Paulresearcher폴정researcher
Description
한국과학기술원 :수리과학과,
Publisher
한국과학기술원
Issue Date
2020
Identifier
325007
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수리과학과, 2020.8,[iii, 34 p. :]

Keywords

joint exchangeability▼ahierarchical exchangeability▼aDAG exchangeability▼aAldous-Hoover theorem▼ade Finetti theorem; 결합교환 가능성▼a위계적 교환 가능성▼a비순환 유향그래프 교환가능성▼a알더스-후버 정리▼a드 피네티 정리

URI
http://hdl.handle.net/10203/284358
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=924359&flag=dissertation
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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