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1994 Fiscal Year Final Research Report Summary

Ideas and Developments in Various Fields of Mathematical Statistics

Research Project

Project/Area Number 05301105
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionUniversity of Tokyo

Principal Investigator

TAKEMURA Akimichi  Faculty of Economics, University of Tokyo, Associate professor, 経済学部, 助教授 (10171670)

Co-Investigator(Kenkyū-buntansha) MORIMUNE Kimio  Economics Research Institute, Kyoto University, Professor, 経済研究所, 教授 (20109078)
YANAI Haruo  Daigaku Nyushi Center, Professor, 研究開発部, 教授 (60010055)
YOSHIMURA Isao  Faculty of Engineering, Tokyo Science University, Professor, 工学部経営工学科, 教授 (30010797)
AKAHIRA Masafumi  Faculty of Mathematics, Tsukuba University, Professor, 数学系, 教授 (70017424)
HIROTSU Chihiro  Faculty of Engineering, University of Tokyo, Professor, 工学部, 教授 (60016730)
Project Period (FY) 1993 – 1994
KeywordsMathematical Statistics, / Asymptotic Theory, / Multivariate Analysis
Research Abstract

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 Press
The contents of this book show the wide perspective of the Takeuchi school of statistics.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takemura,A.: "Maximally orthogonally invariant higher order moments and their application to testing elliptically-contouredness." Statistical Science and Data Analysis Editors K.Matsusita et al. 225-235 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 竹村彰通,本田敏雄: "誤差項が独立同一分布でない時の回帰係数の検定について" 経済学論集. 60. 28-50 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 竹村彰通,久保川達也,江口真透,小西貞則: "統計的推測理論の現状" 日本統計学会誌. 22. 257-312 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takemura,A,Nakano,A.: "Asymprotic Comparison of Variances of OLS and Feasible GLS Estimators in Heteroscedastic Regression Model" Discussion Paper 94-F-36 Faculty of Economics,Univ.of Tokyo. 1-24 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 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)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takemura, A.: "Stepdown Likelihood Ratio Test on Each Parameter Component in Testing Equality of Covariance Matrices" Multivariate Analysis and Its Applications, T.W.Anderson et al.ed.385-396 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takemura, A.: "Maximally orthogonally invariant higher order moments and their application to testing elliptically-contouredness" Statistical Science and Data Analysis, Editors MATSUSITA,K et al.225-235 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takemura, A.and Honda, T.: "Testing regression coefficients when error terms are not independently and identically distributed.(in Japanese)" Keizaigaku Ronshu. 60. 23-50 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kubokawa, T., Eguchi, S., Takemura, A.and Konishi, S.: "Recent Developments of the Theory of Statistical Inference." Journal of Japan Statistical So-ciety. 22. 257-312 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Takemura, A.: "Computer intensive methods in multivariate analysis." in Theory and Application of Mathematical Statistics, TAKEUCHI,K and TAKEMURA,A eds.127-146 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, A.and Takemura, A.: "Asymptotic Comparison of Variances of OLS and Feasible GLS Estimators in Heteroscedastic Regression Model" Discussion Paper 94-F36, Faculty of Economics, Univ.of Tokyo. 1-24 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kei Takeuchi and Akimichi Takemura: "editors, University of Tokyo Press, Theory and Application of Mathematical Statistics" 315 (1994)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1996-04-15  

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