On compatibility of discrete full conditional distributions: A graphical representation approach

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/105865

Title:	On compatibility of discrete full conditional distributions: A graphical representation approach
Authors:	王紹宣;Yao, Yi-Ching;Chen, Shih-chieh;Wang, Shao-Hsuan
Contributors:	理學院統計研究所
Keywords:	Connected graph;Full conditional;Graph representations;Graph theory;Probability;Probability distribution;Random variables;Spanning tree;Studies;Vector space
Date:	2014-02-01
Issue Date:	2026-04-23 12:58:19 (UTC+8)
Publisher:	Academic Press Inc.;New York: Elsevier Inc
Abstract:	摘要： To deal with the compatibility issue of full conditional distributions of a (discrete) random vector, a graphical representation is introduced where a vertex corresponds to a configuration of the random vector and an edge connects two vertices if and only if the ratio of the probabilities of the two corresponding configurations is specified through one of the given full conditional distributions. Compatibility of the given full conditional distributions is equivalent to compatibility of the set of all specified probability ratios (called the ratio set) in the graphical representation. Characterizations of compatibility of the ratio set are presented. When the ratio set is compatible, the family of all probability distributions satisfying the specified probability ratios is shown to be the set of convex combinations of k probability distributions where k is the number of components of the underlying graph. 出版者： New York: Elsevier Inc 出版日期： 2014-02 出處： Journal of multivariate analysis, 2014-02, Vol.124, p.1-9 資源來源： Elsevier ScienceDirect Journals Complete - Autoholdings 版權： 2013 Elsevier Inc. 版權： Copyright Taylor & Francis Group Feb 2014 識別號： ISSN: 0047-259X 識別號： EISSN: 1095-7243 識別號： DOI: 10.1016/j.jmva.2013.10.007 識別號： CODEN: JMVAAI
Appears in Collections:	[Graduate Institute of Statistics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	12	View/Open

社群 sharing

Loading...