Developments of mathematical statistics through computational algebraic methods

通过计算代数方法发展数理统计

• 批准号: 22240029
• 负责人: TAKEMURA Akimichi
• 金额: $ 31.53万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (A)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-22240029/
• 关键词: マルコフ連鎖モンテカルロ法; トーリックイデアル; グレブナー基底; 条件つき検定; 超平面配置

In this project we obtained many important results. The most notable one is the success of the second Institute of Mathematical Statistics Pacific Rim Meeting, held in Tsukuba City during July 1-4 of 2012. The principal investigator of this project was responsible for this important conference in mathematical statistics.Also the principal investigator with Satoshi Aoki and Hisayuki Hara published "Markov bases in Algebraic Statistics" from Springer in 2012.

在这个项目中，我们获得了许多重要的结果。最值得注意的是，第二个数学统计研究所太平洋RIM会议在2012年7月1日至4日在Tsukuba City举行。该项目的主要研究人员负责数学统计学的这一重要会议。此外，Satoshi Aoki和Hisayuki Hara Hara的主要研究员也是“ Markov Base in Markov Bases in Algebraicity in Algebraicistics in Stristersicals in Stristersistical in scriptersistical instrypersistical in scriptersistical in scriptersistical in scriptersistal in in springersistal in in actropersistical in instrictsical in instersity中又有2012年。

项目成果

マルコフ連鎖のhomogeneity の正確検定について

关于马尔可夫链同质性的精确检验

• 发表时间: 2010
• 作者: 原尚幸;竹村彰通
• 通讯作者: 竹村彰通

Properties and applications of Fisher distribution on the rotation group

旋转群上Fisher分布的性质及应用

• DOI: 10.1016/j.jmva.2013.01.010
• 发表时间: 2013
• 期刊: Journal of Multivariate Analysis
• 影响因子: 1.6
• 作者: Tomonari Sei;Hiroki Shibata;A. Takemura;Katsuyoshi Ohara and Nobuki Takayama
• 通讯作者: Katsuyoshi Ohara and Nobuki Takayama

Ranking patterns of unfolding models of codimension one

余维一展开模型的排序模式

• DOI: 10.1016/j.aam.2010.11.002
• 发表时间: 2011
• 期刊: Advances in Applied Mathematics
• 影响因子: 1.1
• 作者: Hidehiko Kamiya;A. Takemura and Hiroaki Terao
• 通讯作者: A. Takemura and Hiroaki Terao

Properties of semi-elementary imsets as sums of elementary imsets

半初等imsets作为初等imsets之和的性质

• 发表时间: 2011
• 期刊: Journal of Algebraic Statistics
• 作者: Takuya Kashimura;Tomonari Sei;A. Takemura;Kentaro Tanaka
• 通讯作者: Kentaro Tanaka

A Markov basis for two-state toric homogeneous Markov chain model without initial parameters

无初始参数的二态环面齐次马尔可夫链模型的马尔可夫基

• 发表时间: 2011
• 期刊: Journal of the Japan Statistical Society
• 作者: Hisayuki Hara;A.Takemura
• 通讯作者: A.Takemura