Statistical distribution theory on graphs
| Project/Area Number |
24540141
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 | Seikei University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 離散分布論 / 数え上げ問題 / アルゴリズム / 離散分布理論 / 信頼性工学 / 統計的分布理論 / 統計的推測理論 / グラフ |
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| Outline of Final Research Achievements |
I considered the three topics:「Discrete distribution theory on undirected graphs」,「Distribution theory of discrete patterns on directed acyclic graphs」,「On dual relationships between discrete distributions on bivariate sequences」. 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 five papers on the above topics.
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Report
(4 results)
Research Products
(10 results)
