文章基本信息

标题：A Markov Basis for Two-state Toric Homogeneous Markov Chain Model Without Initial Parameters
本地全文：下载
作者：Hisayuki Hara ; Akimichi Takemura
期刊名称：JOURNAL OF THE JAPAN STATISTICAL SOCIETY
印刷版ISSN：1882-2754
电子版ISSN：1348-6365
出版年度：2011
卷号：41
期号：1
页码：033-049
DOI：10.14490/jjss.41.033
出版社：JAPAN STATISTICAL SOCIETY
摘要：We derive a Markov basis consisting of moves of degree at most three for a two-state toric homogeneous Markov chain model of arbitrary length without parameters for initial states. Our basis consists of moves of degree three and degree one, which alter the initial frequencies, in addition to moves of degree two and degree one for toric homogeneous Markov chain model with parameters for initial states.
关键词：Algebraic statistics;Gröbner basis;indispensable move;toric ideal