Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/114851
題名: | Exactly and almost compatible joint distributions for high-dimensional discrete conditional distributions | 作者: | 宋傳欽 姜志銘 Kuo, Kun-Lin Song, Chwan-Chin Jiang, Thomas J. |
貢獻者: | 應數系 | 關鍵詞: | Almost compatible joint distribution; Compatibility; Full conditional distributions; Incompatibility; Irreducible block diagonal matrix; Rank one positive extension matrix; Structural ratio matrix | 日期: | May-2017 | 上傳時間: | 21-Nov-2017 | 摘要: | 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. | 關聯: | Journal of Multivariate Analysis, Volume 157, Pages 115-123 | 資料類型: | article | DOI: | https://doi.org/10.1016/j.jmva.2017.03.005 |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
115123.pdf | 421.38 kB | Adobe PDF2 | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.