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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

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/64815

Title:	On compatibility of discrete full conditional distributions: A graphical representation approach
Authors:	姚怡慶;陳世傑;王紹宣 Yao, Yi-Ching;Chen, Shih-chieh;Wang, Shao-Hsuan
Contributors:	統計系
Keywords:	Connected graph;Full conditional;Graph theory;Spanning tree
Date:	2014.02
Issue Date:	2014-03-21 16:39:48 (UTC+8)
Abstract:	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.
Relation:	Journal of Multivariate Analysis, 124, 1-9
Source URI:	http://dx.doi.org/10.1016/j.jmva.2013.10.007
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1016/j.jmva.2013.10.007
DOI:	10.1016/j.jmva.2013.10.007
Appears in Collections:	[統計學系] 期刊論文

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