| Project/Area Number |
10680313
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Statistical science
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
TAKEMURA Akimichi University of Tokyo, Faculty of Economics, Professor, 大学院・経済学研究科, 教授 (10171670)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
KAMIYA Hidehiko Okayama University, Faculty of Economics, Lecturer, 経済学部, 講師 (50300687)
|
|---|
| Project Period (FY) |
1998 – 1999
|
| Project Status |
Completed (Fiscal Year 1999)
|
| Budget Amount *help |
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1999: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1998: ¥1,600,000 (Direct Cost: ¥1,600,000)
|
|---|
| Keywords | multivariate analysis / invariance / Gaussian process / 星形分布 / 主成分分析 / 判別分析 |
|---|
| Research Abstract |
In this research we have obtained some important results concerning the theory of cross sectionally contoured distributions and related problems of statistical inference. Takemura and Kamiya have separately published a survey papers (in Japanese) in Proceedings of the Institute of Statistical Mathematics, Vol. 47, No. 1 (1999).
Takemura with coauthor Satoshi Kuriki gives a survey on the tube method and the Euler characteristic method for obtaining the tail probability of the maximum of Gaussian field. This methodology is a topic of intense current research. Kamiya has developed a characterization of invariant probability models based on the functional form of the density function.
Some other results include the discussion paper by Kamiya and Takemura :
"Rankings generated by spherical discriminant analysis", Discussion Paper CIRJE-F-15, Faculty of Economics, Univ. of Tokyo (1998), which is going to appear in the Journal of the Japan Statistical Society.
Takemura with coauthor Kuriki published a paper on principal component analysis in Communications in Statistics.
|
