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Statistical Analysis of Spatial Data

Research Project

Project/Area Number 60530014
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 統計学
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

MASE Shigeru  Associate Professor, Faculty of Integrated Arts and Sciences, 総合科学部, 助教授 (70108190)

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)
Project Period (FY) 1985 – 1986
Project Status Completed (Fiscal Year 1986)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1986: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1985: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsSpatial 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
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.

Report

(1 results)
  • 1986 Final Research Report Summary
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] Shigeru Mase: Journal of Applied Probability. 23. 646-659 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Takao Shohouji eds.E.K.Harris;T.Yasaka: IMIA Workshop on Maintaining a Healthy State within the individual,Kobe,Japan,April. 1. 8-10 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masahide Kuwada: Journal of Statistical Planning and Inference. 13. 365-376 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Kousei Iwase: Communication in Statistics-Theory and Methods. 15. 3559-3566 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masanobu Taniguti: Journal of Mutivariate Analysis. 18. 1-31 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Ryuuei Nisii: Journal of Statistical Planning and Inference. 13. 111-116 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Shigeru Mase: "On the possible form of size distributions for Gibbsian processes of mutually non-intersecting balls" Journal of Applied Probability. 23. 646-659 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Takao Shohouji: "Contact between school health and community medicine - Prediction and early detection of juvenile diseases associated with aging" IMIA Workshop on Maintaining a Healthy State within the individual, Kobe, Japan (eds. E.K. Harris, T. Yasaka). 1. 8-10 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masahide Kuwada: "Balanced fractional <2^(m1)> factorial designs of resolution V for interesting effects orthogonal to some effects concerning m2 Factors" Journal of Statistical Planning and Inference. 13. 365-376 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Kousei Iwase: "UMVU estimation for the cumulative hazard function in a Pareto distribution of the first kind" Communication in Statistics - Theory and Methods. 15. 3559-3566 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary
  • [Publications] Masanobu Taniguti: "Third order asymptotic properties of maximum likelihood estimators for Gaussian ARMA processes" Journal of Multivariate Analysis. 18. 1-31 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1986 Final Research Report Summary

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Published: 1987-03-31   Modified: 2016-04-21  

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