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1990 Fiscal Year Final Research Report Summary

Research on Integrated Time Series Analysis Softwares

Research Project

Project/Area Number 63830002
Research Category

Grant-in-Aid for Developmental Scientific Research (B).

Allocation TypeSingle-year Grants
Research Field 統計学
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

KITAGAWA Genshiro  The Institute of Statistical Mathematics, Department of Prediction and Central Associate Professor, 予測制御研究系, 助教授 (20000218)

Co-Investigator(Kenkyū-buntansha) HIGUCHI Tomoyuki  The Institute of Statistical Mathematics, Department of Prediction and Control A, 予測制御研究系, 助手 (70202273)
IBA Yukito  The Institute of Statistical Mathematics, Statistical Data Analysis Center Assis, 統計データ解析センター, 助手 (30213200)
SAKAMOTO Yoshiyuki  The Institute of Statistical Mathematics, Department of Interdisciplinary Statis, 領域統計研究系, 助教授 (50000211)
TAMURA Yoshiyasu  The Institute of Statistical Mathematics, Statistical Data Analysis Center Assoc, 統計データ解析センター, 助教授 (60150033)
Project Period (FY) 1988 – 1990
KeywordsTime Series Analysis / Non-stationarity / Non-linearity / Smoothing / Filtering / Statistical Software
Research Abstract

By the research in the previous fiscal years, we have developed a recursive filtering and smoothing algorithms for a general state space model which can be applied to diverse fields of time series modeling.
Based on these results, in this year, we tested the developed program on various real data sets and made necessary modifications. We also did research on developing new models and more efficient algorithms. As a result of this research, based on the non-Gaussian state space model, a unified method fr analyzing time series with various characters such as the non-linearity, non-stationarity, non-Gaussianity, outliers and missing observations has been established. We also did research on the graphical display of the results of time series analysis and developed various programs for that purpose. In particular, by using the CALCOMP graphic libraries it becomes possible to use the graphical programs on various kinds of computers including mainframes and personal computers.
As mentioned above, in this research a statistical model for handling time series with various character and a softrware for implementing the approach have been developed. Therefore, we believe that the most part of our purpose of this research has been achieved. However, more research is required to develop a user-friendly practical software.
The papers and other publications produced concerning this research have been included in the report of this research project. A manual for the developed software is also available.

  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] Genshiro Kitagawa: "NonーGaussian Seasonal Adjustment" Computers and Mathematics with Applications. 18. 503-514 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 北川 源四郎: "非ガウス型時系列モデリング" オペレーションズ・リサーチ. 34. 541-546 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 松本 則夫: "地震にともなう地下水位変動の定量的検出法の開発" 地質調査所月報. 40. 613-623 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Genshiro Kitagawa: "A Nonlinear Smoothing Method for Time series Analysis" Statistica Sinica. 1. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Genshiro Kitagawa: "The Twoーfilter Formula for Smoothing and an implementation of the Gaussianーsum Smoother"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tetsuo Takanami: "Estimation of the Arrival Times of Seismic Wavess by Multivariate Time series Model" Annalus of the Institute of Statistical Mathematics. 43. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 北川 源四郎: "非定常時系列モデルと最適化" 統計数理. 37. 239-245 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 坂元 慶行: "カテゴリカルデータのモデル分析" 統計数理. 36. 211-222 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 坂元 慶行: "継続調査から何がわかるのだろうか" 中央調査報. 400. 3335-3339 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 樋口 知之: "時系列のフラクタル解析" 統計数理. 37. 209-232 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 樋口 知之: "線形代数の観点からみた自己回帰モデルの解釈" 統計数理. 38. 31-45 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tomoyuki Higuchi: "Spectral Representation of Linear Operator to Decompose a Time Series into the Multiー Components" Annals of the Institute of Statistical Mathematics. 43. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Will Gersch: "Smoothnes Priors in Time Series" Marcel Dekker, 536 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Genshiro Kitagawa: "Non-Gaussian Seasonal adjustment" Computers and Mathematics with applications. Vol. 18. 503-514 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Genshiro Kitagawa: "Non-Gaussian Time series Modeling" Operations Research. vol 34. 541-546 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Norio Matusmoto: "Development of Linear Multivariate Regression Model to Detect Coseismic Change of Groundwater Level" Bulletin of the Geological Survey of Japan. Vol. 40. 613-623 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Genshiro Kitagawa: "A Nonlinear Smoothing Method for time Series Analysis" Statistica Sinica. Vol. 1. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Genshiro Kitagawa: "The Two-filter Formula for Smoothing and an Implementation of the Gaussian-sum Smoother" Research Memorandum. No. 388. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tetuo Takanami: "Estimation of the arrival Times of Seismic Waves by Multivariate Time Series Model" Annals of the Institute of Statistical Mathematics. Vol. 43. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Genshiro Kitagawa: "Non stationary Time series Models and Optimization" Proceedings of the Institute of Statistical Mathematics. Vol. 37. 239-245 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yoshiyuki Sakamoto: "Model Analysis Categorical Data" Proceedings of the Institute of Statistical Mathematics. Vol. 36. 211-222 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yoshiyuki Sakamoto: "What Can be Concluded from Continuous Survey" Chuou-Chousa-Hou. Vol. 400. 3335-3339 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tomoyuki Higuchi: "Fractal Analysis of Time Series" Proceedings of the Institute of Statistical Mathematics. Vol. 37. 209-232 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tomoyuki, Higuchi: "An Interpretation of Autoregressive Model from the Viewpoint of Linear Algebra" Proceedings of the Institute of Statistical Mathematics. Vol. 38. 31-45 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tomoyuki Higuchi: "Spectral Representation of Linear Operator to Decompose a Time Series into the Multi-Components" Annals of the Institute of Statistical Mathematics. Vol. 43. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Will Gersch: Marcel Dekker. Smoothness Priors in time Series, 536 (1989)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-08-12  

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