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Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/109342


Title: Exactly and almost compatible joint distributions for high-dimensional discrete conditional distributions
Authors: Jiang, Thomas J.
姜志銘
Song, C.-C.
Kuo, K.-L.
Contributors: 應用數學系
Date: 2017-05
Issue Date: 2017-05-08 14:43:03 (UTC+8)
Abstract: A conditional model is a set of conditional distributions, which may be compatible or incompatible, depending on whether or not there exists a joint distribution whose conditionals match the given conditionals. In this paper, we propose a new mathematical tool called a “structural ratio matrix” (SRM) to develop a unified compatibility approach for discrete conditional models. With this approach, we can find all joint pdfs after confirming that the given model is compatible. In practice, it is most likely that the conditional models we encounter are incompatible. Therefore, it is important to investigate approximated joint distributions for them. We use the concept of SRM again to construct an almost compatible joint distribution, with consistency property, to represent the given incompatible conditional model. © 2017 Elsevier Inc.
Relation: Journal of Multivariate Analysis, 157, 115-123
Data Type: article
DOI link: http://dx.doi.org/10.1016/j.jmva.2017.03.005
Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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