2013 Fiscal Year Final Research Report
Theory of spatio-temporal data analysis and its applications to environmental data
| Project/Area Number |
21500270
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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 | Tohoku University |
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Principal Investigator |
MATSUDA Yasumasa 東北大学, 経済学研究科(研究院), 教授 (10301590)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 時空間モデル / スペクトル密度関数 / 非定常性 / 局所ピリオドグラム / フーリエ解析 |
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| Research Abstract |
This research has conducted a proposition of nonstationary Fourier analysis of spatio-temporal data when observation points are irregularly spaced. Originally nonstatinary Fourier analysis was proposed for nonstationary time series analysis by local periodogram in order to identify temporal dependencies of time series models. Here we extend the method for time series to that for spatio-temporal data that makes it possible to identify local dependencies of spatial model parameters. The consistency of the estimators by the nonstationary Fourier methods has been proved. We have applied the methodology to land price data in Kanto area and examined nonstationary behaviors of land price data by the Fourier analysis.
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