Estimate on Regression Functions and ProbabilityDensity Functions
| Project/Area Number |
22540126
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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 | Osaka University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
SAKAMOTO Wataru 大阪大学, 大学院・基礎工学研究科, 准教授 (70304029)
FUJIKI Mie 同志社大学, 東アジア総合研究センター, 嘱託研究員 (70437359)
DOU Xiaoling 統計数理研究所, 新領域融合研究センター, 特任研究員 (10516868)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 計算機統計学 / 非線形統計学 / 確率密度関数 / 2乗の積分 / kernel 関数 / U統計量 / 関数データ / 超音波データ / カーネル関数 / ２乗の積分 / Ｕ統計量 / 2乗積分 / kernel関数 / 平均2乗誤差 / 回帰分析 / チェビシェフ多項式 / 確率密度関数の推定 / 汎関数の推定 / ロバスト推定 / V統計量 / 漸近正規性 / ベキ正規分布 |
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| Research Abstract |
We proposed new procedures in the following two fields. First, we proposed robust estimator for simple linear regression and methods to analyze ultrasonic vocalization (USV) emitted from mice and rats. By Fourier transform ation of USV, we have functional data. We proposed methods how to eliminate errors, how to judge whether the extracted are really curves and how to classify the curves. Next, we constructed estimators of the integration of squared density function. We adopted kernel functions and U-statistics and showed that the asymptotic normality of the estimators and investigated several properties of them by computer simulations.
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Report
(4 results)
Research Products
(27 results)
