| Project/Area Number |
18K13459
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 12040:Applied mathematics and statistics-related
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| Research Institution | University of Shizuoka |
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Principal Investigator |
Imoto Tomoaki 静岡県立大学, 経営情報学部, 助教 (20749296)
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| Project Period (FY) |
2018-04-01 – 2021-03-31
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| Project Status |
Completed (Fiscal Year 2020)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 方向統計学 / 確率分布 / 数理統計学 / ゲノムデータ / トーラス上分布 / シリンダー上分布 / 離散型分布 / 地震 / 統計数学 / 確率分布論 / 生態・環境科学 |
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| Outline of Final Research Achievements |
In this research project, we constructed a probabilistic model to enable a flexible statistical analysis for data focusing on periodic phenomena such as angle and time. Specifically, we proposed a method for constructing circular distributions that can give flexible fitting to various circular data, a cylinder distribution that can model long-tailed for its linear part, and torus distributions that can be used with a low computational cost. Applications to seismic data and shared genes position data of the bacterial genomes show the tendency of big earthquakes and commonality of bacteria which has the same ancestor, respectively,
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| Academic Significance and Societal Importance of the Research Achievements |
動物の移動方向や風向などの周期性のある現象に関するデータは、正規分布やポアソン分布のように直線上で定義される確率分布ではなく、円周上で定義される確率分布を用いて解析を行う必要がある。生態・環境科学分野ではこのようなデータが多くみられる。本研究で提案した柔軟かつ情報損失の少ない円周上分布、トーラス上分布、シリンダー上分布を用いることで、適切な生態動向推定や自然環境予測が可能となることが期待される。
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