1986 Fiscal Year Final Research Report Summary
Statistical Analysis of Spatial Data
| Project/Area Number |
60530014
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
統計学
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
MASE Shigeru Associate Professor, Faculty of Integrated Arts and Sciences, 総合科学部, 助教授 (70108190)
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| Co-Investigator(Kenkyū-buntansha) |
HYAKUTAKE Hiroto Lecturer, Division of Mathematics, Faculty of Science, 理学部, 助手 (70181120)
TANIGUTI Masanobu Associate Professor, Division of Mathematics, Faculty of Science, 理学部, 助教授 (00116625)
IWASE Kosei Associated Professor, Division of Applied Mathematics, Faculty of Engineering, 工学部, 助教授 (10103079)
KUWADA Masanide Associate Professor, Faculty of Integrated Arts and Sciences, 総合科学部, 助教授 (10144891)
SHOUHOUJI Takao Professor, Faculty of Integrated Arts and Sciences, 総合科学部, 教授 (00033910)
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| Project Period (FY) |
1985 – 1986
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| Keywords | Spatial data / Point process / Gibbsian process / Partition function / Size distribution / Stereology / Image analysis / Graphics / Design / Traffic flow / Growth analysis / 時系列 / 逐次推定 / 漸近理論 / 生物成長 / 疾病分布 |
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| Research Abstract |
Main results of this project are classified as follows:
1. Theoretical studies of Gibbsian point processes as a basis of the statistical model of spatial data. Especially a general form of size distributions for non-intersecting balls which is important in stereology and a finer approximation formula for partition functions which is important for maximum likelihood estimation of potential functions are obtained.
2. Image and Graphical analysis of spatial data on computers. Especially an algorithm of drawing speed-dependent Voronoi tasselations was tested and a program package for graphical tools of Fortran was developed.
3. Combinatorial and Design problems associated with spatial data analysis. Especially a sampling problem of spatial data was discussed.
4. Analysis of traffic flows. Especially a fitting problem of inverse Gaussian distributions to speed distributions of vehicles was discussed.
5. The connection and the applicability of methods and concepts of other branches of statistics, e.g. timeseries analysis, asymptotic theory and sequential analysis, were studies.
6. Applications to practical data. Especially a statistical analysis of individual growth and epidemical studies in a district were undertaken.
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