| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We focused on nonparametric density estimation when the support of the estimated density has the boundary. We proposed multivariate log-normal kernel density estimator and its generalization, using the idea of the weighted distribution, and derived their asymptotic properties. We also proposed inverse gamma and Amoroso kernel density estimators, and derived their asymptotic properties. Furthermore, we discussed the bias-reduced beta and Amoroso kernel density estimators. Simulation studies and data analyses were conducted to illustrate the asymptotic results.
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