• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

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)
國友 直人  東京大学, 経済学部, 教授 (10153313)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1994: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1993: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsMathematical Statistics, / Asymptotic Theory, / Multivariate Analysis / 計量経済学
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.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [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
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Takemura,A: "Stepdown Likelihood Ratio Test on Each Parameter Component in Testing Equality of Covanance Matrices" Multi Variate Analysis and Its Applications T.W.Anderson,K.T.Fang,I.Olkin eds.385-396 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Takemura,A: "Maximally orthogonally invariant higher order moments and their application to testing elliptically-coutaredney." Statistical Science and Data Analysis Editors K.Matsusita et al.225-235 (1993)

    • Related Report
      1994 Annual Research Report
  • [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)

    • Related Report
      1994 Annual Research Report
  • [Publications] 竹村彰通,久保川達也,江口真造,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)

    • Related Report
      1994 Annual Research Report
  • [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)

    • Related Report
      1994 Annual Research Report
  • [Publications] Takemura.A,Nakao.A: "Asymptotic 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)

    • Related Report
      1994 Annual Research Report
  • [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)

    • Related Report
      1994 Annual Research Report
  • [Publications] 赤平昌文: "Fisher予想の解決と高次の漸近理論の発展" 数理統計学の理論と応用. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 柳井晴夫: "多変量解析の動向-主に記述統計的立場から" 数理統計学の理論と応用. (1994)

    • Related Report
      1993 Annual Research Report
  • [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. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 国友直人: "経済時系列モデルにおける非線形性と不均衡計量経済モデル" 数理統計学の理論と応用. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森棟公夫,竹内恵行: "補助回帰による計量分析" 数理統計学の理論と応用. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 広津千尋: "新しい品質管理のための統計的方法" 数理統計学の理論と応用. (1994)

    • Related Report
      1993 Annual Research Report

URL: 

Published: 1993-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi