Discrete distribution theory with its statistical applications
| Project/Area Number |
21740083
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Seikei University |
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Principal Investigator |
INOUE Kiyoshi 成蹊大学, 経済学部, 准教授 (10384653)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 統計数学 / アルゴリズム / 確率モデル / 連 / 確率分布 / 離散分布 / 円周モデル / 母関数 / 信頼性工学 / 推定問題 / パターン / グラフ / マルコフ性 / 双対性 |
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| Research Abstract |
I considered the three topics :「Discrete distribution theory on graphs」,「Distribution theory of discrete patterns in exchangeable sequences」,「On dual relationships between discrete distributions」. I proposed the methods and algorithm for deriving the probability distribution exactly. The illustrative examples are also given in order to demonstrate the feasibility of the methods and algorithm. Furthermore, I presented these results at five conferences and I published six papers on the above topics.
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Report
(4 results)
Research Products
(26 results)
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[Presentation] 可換試行列上の連の分布2011
Author(s)
井上潔司, 安芸重雄
Organizer
日本数学2011年度春季総合分科会統計数学分科会
Place of Presentation
早稲田大学
Year and Date
2011-03-22
Related Report
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[Presentation] 有向木上の連の分布2009
Author(s)
井上潔司, 安芸重雄
Organizer
2009年度統計関連学会連合大会
Place of Presentation
同志社大学
Year and Date
2009-09-09
Related Report
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