政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/64815

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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/64815

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题名:	On compatibility of discrete full conditional distributions: A graphical representation approach
作者:	姚怡慶;陳世傑;王紹宣 Yao, Yi-Ching;Chen, Shih-chieh;Wang, Shao-Hsuan
贡献者:	統計系
关键词:	Connected graph;Full conditional;Graph theory;Spanning tree
日期:	2014.02
上传时间:	2014-03-21 16:39:48 (UTC+8)
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.
關聯:	Journal of Multivariate Analysis, 124, 1-9
資料來源:	http://dx.doi.org/10.1016/j.jmva.2013.10.007
数据类型:	article
DOI 連結:	http://dx.doi.org/10.1016/j.jmva.2013.10.007
DOI:	10.1016/j.jmva.2013.10.007
显示于类别:	[統計學系] 期刊論文

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