1999 Fiscal Year Final Research Report Summary
Statistical Inference on cross sectionally contoured distributions
| Project/Area Number |
10680313
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TAKEMURA Akimichi University of Tokyo, Faculty of Economics, Professor, 大学院・経済学研究科, 教授 (10171670)
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| Co-Investigator(Kenkyū-buntansha) |
KAMIYA Hidehiko Okayama University, Faculty of Economics, Lecturer, 経済学部, 講師 (50300687)
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| Project Period (FY) |
1998 – 1999
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| Keywords | multivariate analysis / invariance / Gaussian process |
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| 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.
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