Construction of nonparametric statistical theory on Network
| Project/Area Number |
24500339
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | Kanazawa University |
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Principal Investigator |
SAGAE Masahiko 金沢大学, 経済学経営学系, 教授 (20215669)
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| Research Collaborator |
SCOTT Warren, David Rice University Department of Statistics
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | ノンパラメトリック統計学 / 方向統計学 / ネットワーク統計学 / ネットワーク分析 / カーネル推定 / カーネル関数 / 方向統計 / ネットワークデータ / フォン・ミーゼス分布 / 完全空間ランダム性 / カーネル確率密度 / 非線形判別 / ネットワーク / 産業連関分析 / カーネル密度関数 / ノンパラメトリック統計 |
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| Outline of Final Research Achievements |
We construct a statistical theory that can deal with data defined on the network.Network data has branches, closed circuits, etc. Therefore, we can not simply apply statistical theory on Euclidean space. We applied the directional statistical theory applicable to both closed and branched cases to this problem. Since parametric statistical theory is extremely limited in handling problems, we introduced nonparametric statistical theory to directional statistics. We led to a theoretical properties on directional density estimation that previous researches in this area were theoretically undeveloped. Specifically, we derive the asymptotic property of the wrapped Cauchy kernel. We proposed a new class of kernel directional density function and derived its asymptotic properties. The convergence rate of the bandwidth estimation method (CV method and plug - in method) of the direction kernel function was derived.
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Report
(5 results)
Research Products
(20 results)
