2009 Fiscal Year Final Research Report
Application of hyperplane arrangements to statistical science
| Project/Area Number |
19540131
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Okayama University |
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Principal Investigator |
KAMIYA Hidehiko Okayama University, 大学院・社会文化科学研究科, 教授 (50300687)
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| Co-Investigator(Renkei-kenkyūsha) |
TAKEMURA Akimichi 東京大学, 大学院・情報理工学系研究科, 教授 (10171670)
TERAO Hiroaki 北海道大学, 大学院・理学研究院, 教授 (90119058)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 統計数学 |
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| Research Abstract |
We solved some problems about rankings by using the theory of hyperplane arrangements. In the course of the argument, we also generalized a method in the arrangement theory. Specifically, we found the number of ranking patterns generated by the unfolding model when the restriction by dimension is weakest. Moreover, we extended the finite field method to ease the computational burden for solving our ranking problems numerically.
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