Project/Area Number  02302010 
Research Category 
GrantinAid for Cooperative Research (A).

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

Research Institution  University of Tsukuba 
Principal Investigator 
AKAHIRA Masafumi Univ. Tsukuba, Inst. Math., Prof., 数学系, 教授 (70017424)

CoInvestigator(Kenkyūbuntansha) 
KUWADA Masahide Univ. Hiroshima, Faculty Integ. Arts & Sci., Prof., 総合科学部, 教授 (10144891)
KUBOKI Hisataka Univ. ElectroComm., Dept. Comm. &Systems, Assoc. Prof., 電気通信学部, 助教授 (10132698)
NAKAI Toru Univ. Kyushu, Faculty Economics, Assoc. Prof., 経済学部, 助教授 (20145808)
TAKADA Yoshikazu Univ. Kumamoto, Dept. Math., Assoc. Prof., 理学部, 助教授 (70114098)
TANIGUCHI Masanobu Univ. Osaka, Dept. Math. Sci., Assoc. Prof., 基礎工学部, 助教授 (00116625)
大和 元 鹿児島大学, 理学部, 教授 (90041227)
笹渕 祥一 広島大学, 理学部, 助教授 (20128028)
田栗 正章 千葉大学, 理学部, 教授 (10009607)
脇本 和昌 岡山大学, 教養部, 教授 (90033159)
白旗 慎吾 大阪大学, 教養部, 教授 (10037294)

Project Fiscal Year 
1990 – 1991

Project Status 
Completed(Fiscal Year 1991)

Budget Amount *help 
¥14,000,000 (Direct Cost : ¥14,000,000)
Fiscal Year 1991 : ¥6,600,000 (Direct Cost : ¥6,600,000)
Fiscal Year 1990 : ¥7,400,000 (Direct Cost : ¥7,400,000)

Keywords  Estimation / Testing hypothesis / Time series analysis / Multivariate analysis / Mathematical programming / Experimental design / Sampling theory / Information amount / 推定 / 検定 / 時系列解析 / 多変量解析 / 数理計画法 / 実験計画 / サンプリング理論 / 情報量 / 統計的グラフィックス / 統計的漸近理論 / 回帰モデル / ゲムの理論 
Research Abstract 
Recently, the statistical inference and its applications have been extensively developed. The purpose of this research is to investigate various problems on the statistical inference from the viewpointsof small sample theory and large sample one and to obtain the results on the inference. In particular, we chose 10 important topics on the inference and made up a group per topic. which consists of the investigators and others. We also drew up a plan to hold meetings on the topics and proceeded with the study collectively to contribute to the field of statistics. The topics are the following : (1) Optimality in estimation and testing hypotheses (2) Theory of time'series anlysis and its applications, (3) Amount of information and statistical inference, (4) Statistical inference on experimental designs and its applications, (5) Theory of statistical multivariate analysis and its applications, (6) Modeling and analysis in mathematical programming, (7) Statistical graphics and its applications, (8) Theory of sampling and resampling and its applications, (9) Asymptotic theory of statistics and its applications, (10) Testing statistical hypothesis and related topics. The meeting on each topic was held with many attendants, and there many new results were presented with active discussions. It seemed to be very meaningful. The results on the topics were completed as a report of the study. We believe that these results largely contribute to the theory of statistical inference and its applications. Their further developments are expected.
