Ideas and Developments in Various Fields of Mathematical Statistics

数理统计各领域的思想与发展

• 批准号: 05301105
• 负责人: TAKEMURA Akimichi
• 金额: $ 1.66万
• 依托单位: University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05301105/
• 关键词: Mathematical Statistics,; Asymptotic Theory,; Multivariate Analysis; 計量経済学

The purpose of this project is to review and organize the works of Prof. Kei Takeuchi in the field of statistics by his disciples and coworkers. As is well known, Prof. Takeuchi has long been a leading researcher of statistics in Japan. He himself has written down huge results on statistics, but there are many ideas in statistics originating from Pro. Takeuchi in the form of verbal communication with other researchers. Many of these ideas were worked out in the papers of his disciples and coworkers, but many ideas are yet to be worked out. In order to review Prof.Takeuchi's work and influence, we organized a special symposium in December of 1993. The reviews and results of this symposium is now published in a book form :Theory and Application of Mathematical Statistics(in Japanese)edited by Kei Takeuchi and Akimichi Takemura, University of Tokyo PressThe contents of this book show the wide perspective of the Takeuchi school of statistics.

本项目的目的是回顾和整理竹内庆教授的弟子和同事在统计学领域的著作。众所周知，竹内教授长期以来一直是日本统计学领域的领军人物。他自己在统计学上写下了大量的成果，但统计学中的许多思想都是源于他。竹内以语言的形式与其他研究者进行交流。他的门徒和同事在论文中提出了许多这些想法，但还有许多想法尚未得到解决。为了回顾竹内教授的工作和影响，我们于1993年12月组织了一次专题讨论会。这次研讨会的评论和结果现在以一本书的形式出版：由竹内庆和竹村明一编辑的《数理统计理论与应用》（日文），东京大学出版社。这本书的内容显示了竹内统计学派的广阔视野。

项目成果

竹村彰通: "多変量解析と計算機" 数理統計学の理論と応用,竹内啓,竹村彰通編. 127-146 (1994)

Akimichi Takemura：《多元分析与计算机》数理统计理论与应用，Kei Takeuchi 和 Akimichi Takemura 编辑 127-146 (1994)。

Takemura,A.: "Stepdown Likelihood Ratio Test on Each Parameter Component in Testing Equality of Covariance Matrices" Multi Variate Analysis and Its Applications T.W.Anderson,K.T.Fang,I.Olkin eds. 385-396 (1994)

Takemura,A.：“协方差矩阵相等性检验中每个参数分量的降压似然比检验”多变量分析及其应用 T.W.Anderson、K.T.Fang、I.Olkin 编辑。

Takemura, A.: "Computer intensive methods in multivariate analysis." in Theory and Application of Mathematical Statistics, TAKEUCHI,K and TAKEMURA,A eds.127-146 (1994)

Takemura, A.：“多变量分析中的计算机密集型方法。”

竹内啓,竹村彰通編: "数理統計学の理論と応用" 東京大学出版会, 315 (1994)

Kei Takeuchi 和 Akimichi Takemura（编）：《数理统计理论与应用》东京大学出版社，315（1994）

Kei Takeuchi and Akimichi Takemura: "editors, University of Tokyo Press, Theory and Application of Mathematical Statistics" 315 (1994)

Kei Takeuchi 和 Akimichi Takemura：《编辑，东京大学出版社，数理统计理论与应用》315（1994）