2013 Fiscal Year Final Research Report
Statistical inference on discrete patterns on random structures
| Project/Area Number |
22540159
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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 | Kansai University |
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Principal Investigator |
AKI Sigeo 関西大学, システム理工学部, 教授 (90132696)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 統計数学 |
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| Research Abstract |
Main results of the research are as follows. A method for deriving exact distributions of numbers of discrete patterns observed on undirected graphical models is proposed. Parametric statistical models are proposed for observed discrete patterns on exchangeable or partially exchangeable sequences of trials. The mixing measures of the exchangeable sequences also obtained. Further, a parametric statistical model on the permutation group is proposed by using the coupon collecter's problems. The statistical model is useful for statistical inference of ranking data such as maximum likelihood estimation and likelihood ratio tests.
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