| 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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| 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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