2010年2月
Minimal and minimal invariant Markov bases of decomposable models for contingency tables
BERNOULLI
- ,
- ,
- 巻
- 16
- 号
- 1
- 開始ページ
- 208
- 終了ページ
- 233
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3150/09-BEJ207
- 出版者・発行元
- INT STATISTICAL INST
We study Markov bases of decomposable graphical models consisting of primitive moves (i.e., square-free moves of degree two) by determining the structure of fibers of sample size two. We show that the number of elements of fibers of sample size two are powers of two and we characterize primitive moves in Markov bases in terms of connected components of induced subgraphs of the independence graph of a hierarchical model. This allows us to derive a complete description of minimal Markov bases and minimal invariant Markov bases for decomposable models.
- リンク情報
- ID情報
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- DOI : 10.3150/09-BEJ207
- ISSN : 1350-7265
- Web of Science ID : WOS:000275977500008