Project/Area Number  06302015 
Research Category 
GrantinAid for Cooperative Research (A).

Research Field 
General mathematics (including Probability theory/Statistical mathematics)

Research Institution  OSAKA UNIVERSITY 
Principal Investigator 
INAGAKI Nobuo OSAKA UNIV., DEPT.OF ENG.SCI., PROFESSOR, 基礎工学部, 教授 (10000184)

CoInvestigator(Kenkyūbuntansha) 
清水 邦夫 東京理科大学, 理学部, 助教授 (60110946)
久保川 達也 東京大学, 経済学部, 助教授 (20195499)
景山 三平 広島大学, 学校教育学部, 教授 (70033892)
西 晃央 佐賀大学, 教育学部, 教授 (60022274)
白旗 慎吾 大阪大学, 基礎工学部, 教授 (10037294)
KONDO Masao KAGOSHIMA UNIV., COLLEGE OF GEN.CULT., ASS.PROFESSOR, 教養部, 助教授 (70117505)
MIURA Ryozo HITOTSUBASHI UNIV., DEPT.OF COMM.SCI., PROFESSOR, 商学部, 教授 (30107081)
TAGURI Masaaki CHIBA UNIVERSITY,DEPT.OF SCI., PROFESSOR, 理学部, 教授 (10009607)
YAMADA Sakutaro TOKYO UNIVERSITY OF FICH,PROFESSOR, 水産学部, 教授 (60017077)
GOTO Masashi OSKA UNIVERSITY,DEPT.OF ENG.SCI., PROFESSOR, 基礎工学部, 教授 (00273615)

Project Fiscal Year 
1994 – 1995

Project Status 
Completed(Fiscal Year 1995)

Budget Amount *help 
¥17,300,000 (Direct Cost : ¥17,300,000)
Fiscal Year 1995 : ¥8,300,000 (Direct Cost : ¥8,300,000)
Fiscal Year 1994 : ¥9,000,000 (Direct Cost : ¥9,000,000)

Keywords  Information geometry / Parametric models / Medical statistics / Multivariate analysis / Time series analysis / Biostatistics / Samplingresampling / statistical soft ware / 統計的推測 / サンプリング・リサンプリング / 確率過程 / 生物統計学 / 時系列解析モデル / 統計ソフト / 医学統計学 / データ解析 / 離散型確率モデル / 実験計画 / 計算機統計学 / 多変量解析モデル / 最適化理論 / 欠陥データ解析 
Research Abstract 
We face to solve problems of the statistical inference and its applications in many aplied fields by using statistical models and their computer software. For this inves tigation, we had twelve symposiums with the following themes. Each symposium were held with more than ten speakers and fifty attendants, who have wide interest in from economics and finance to bioscience. (1) Discrete type of Statistical models and their properties : We discussed the posibility of discrete modeles accompanied with the development of computer. (2) Statistical inference in experimental design and its applications : Many results for experimental desins and combinatorial theory were reported. (3) Statistical models of multivariate analysis and its applications : We discussed the influence of statistical inference which are caused by the extension of structure from multivariate normal distribution model to elliptic one. (4) Biostatistics and missing data : The treatment of missing data occured in the Biostat
… More
istics and its recover of information were studied. (5) Theory of ottimization under some uncertainty conditions : Many problems of mathematical programming and the related fields were reported. (6) Topics of computaional statistics : New developments of computaional statistics and its application to wide related fields were discussed. (7) Samplingresampling methods and statistical inference : Sampling and resampling methods for many applied fields were reported and discussed. (8) Statistical soft wares and data analysis : We discussed the data analysis in Economics and finance by statistical models and statistical soft ware. (9) Theory of recent time series analysis and its application : We had many results for time series analysis, prediction theory and their applications. (10) Statistical models in Bioscience : We discussed statistical models in Bioscience, especially, genetics, fishery, population dynamics and so. (11) New looks of medical statistics : Topics of dose response analysis, life time analysis, and so on, and applications of generalized linear models were reported. (12) Parametic models of stochastic process and information geometry : Infromation losses, locally asymptotic normalities and the related topics in parametric models of stochastic processes were studied. (4)生物科学における統計モデルの研究(山田作太郎,岸野洋久) (5)医学統計学における最新の諸法(後藤昌司,正法地孝雄,柴田義貞,越智義道) (6)確率過程における母数モデルと情報幾何の研究(江口真透,林利治,吉田朋広) 3.研究成果:各年の6月に上記のような研究組織の構成とシンポジュウム計画を広く配布し講演を呼びかけ,いずれのシンポジュウムも十数件の講演と50名以上の参加者があり,その成果は研究報告集としてまとめられ印刷・配布されている.最終年度の纏めとして,「研究成果報告書」(290頁)を作成した. Less
