2010 Fiscal Year Final Research Report
Development of the methods of statistical analysis for spatial data of Voronoi tessellation through MCMC method
| Project/Area Number |
20500264
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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 |
Statistical science
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| Research Institution | The Institute of Statistical Mathematics |
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Principal Investigator |
TANEMURA Masaharu The Institute of Statistical Mathematics, 名誉教授 (80000214)
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| Project Period (FY) |
2008 – 2010
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| Keywords | ボロノイ多角形 / 空間統計学 / 相互作用ポテンシャル / Gibbs分布 / 疑似尤度 / MCMC法 / モデル化 |
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| Research Abstract |
It is known that there are many polygonal tessellation data in the field of natural sciences. But most of such data remained untouched from the point of statistical analysis. In order to break this situation, we have developed a statistical procedures using MCMC method in depth. As a result of our research, it is revealed that various types of polygonal tessellation pattern are reproducible in our statistical model and that statistical estimation of model parameters is able to execute.
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