| Project/Area Number |
26870259
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
Foundations of mathematics/Applied mathematics
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| Research Institution | Kobe University |
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Principal Investigator |
Masanori Sawa 神戸大学, システム情報学研究科, 准教授 (50508182)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | Cubature / ユークリッドデザイン / 最適デザイン / 直交多項式の零点 / 再生核 / 最適計画 / cubature / ブロックデザイン / 可算ブロックデザイン / corner vector / 有限既約鏡映群 / D最適計画 / Hilbert恒等式 / cubatureの有理性 / Gaussian design / 有理的デザイン / Hausdorffの構成法 / エルミート行列 / Fisher型不等式 / 測度空間上のデザイン / 矩形求積公式 / 平均値の定理 / ガウスの平均値定理 / 調和関数 / 最適実験計画 |
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| Outline of Final Research Achievements |
I studied existence, constructions, classifications of various types of designs such as combinatorial designs in combinatorics, Euclidean designs in numerical analysis, optimal designs in design of experiments. The results were presented at many conferences/academic seminars and finally published high-quality journals in pure and applied mathematics and statistics including Journal of the Mathematical Society of Japan, Journal of Combinatorial Theory Series B, and Indian Journal of Statistics.
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