2011 Fiscal Year Final Research Report
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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| Keywords | 統計数学 |
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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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