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Studies of Possibilities and Limits of Statistical Prediction

Research Project

Project/Area Number 11308010
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHokkaido University

Principal Investigator

SATO Yoshiharu  Hokkaido Univ., Div. Systems & Information Eng., Professor, 大学院・工学研究科, 教授 (80091461)

Co-Investigator(Kenkyū-buntansha) IMAI Hideyuki  Hokkaido Univ., Div. Systems & Information Eng., Assoc. Prof., 大学院・工学研究科, 助教授 (10213216)
MURAI Tetsuya  Hokkaido Univ., Div. Systems & Information Eng., Assoc. Prof., 大学院・工学研究科, 助教授 (90201805)
MIZUTA Masahiro  Hokkaido Univ., Center for Infor. & Multimedia Stud., Professor, 情報メディア教育研究総合センター, 教授 (70174026)
TANIEICHI Nobuhiro  Obihiro Univ. of Agriculture & Veterinary Medicine, Professor, 畜産学部, 教授 (00207200)
BABA Yasumasa  Institute of Statistical Mathematics, Professor, 教授 (90000215)
山本 義郎  北海道大学, 大学院・工学研究科, 助手 (80301943)
Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥30,790,000 (Direct Cost: ¥27,100,000、Indirect Cost: ¥3,690,000)
Fiscal Year 2002: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
Fiscal Year 2001: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2000: ¥7,200,000 (Direct Cost: ¥7,200,000)
Fiscal Year 1999: ¥7,600,000 (Direct Cost: ¥7,600,000)
KeywordsData Science / Statistical Model / Statistical Inference / Model Selection / Robustness of Models / Forecasting / Data Mining
Research Abstract

The aim of this project was to study out the possibilities and limits of statistical prediction in the practical problems. There are two situations in the statistical prediction. One is an interpolation and the other is an extrapolation. The typical concept of the former, interpolation, is a theory of regression, namely, the nonlinear, semi-parametric and nonparametric regression. Moreover, the several modeling techniques by which the reasonable and useful information are extracted have been included. On these methods, we get excellent results, for instance, "growth curve model with hierarchcal within-individual design matrices", "echelon analysis of the relationship between population and land cover patterns based on remote sensing data", "an algorithm with projection pursuit for sliced inverse regression model", "Kullback-Leibler information consistent estimator for censored data" and so on. On the other hand, the latter concept, extrapolation, is familiar to weather or a business or a stock price forecasting. The typical method is a time series analysis. Although, there still remain many dfficulties, in this project, many useful results are proposed, especially on the state space modeling a relaxation of error distribution and several filtering theory for the noise reduction. For example, "computational implementations of nonlinear non-Gaussian prediction and filtering formulas", "a combining forecast method using a probabilistic neural network", "forecasting structural changes in a state-space model", "extension of the MDL criterion by shrinkage method" and so on.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (46 results)

All Other

All Publications (46 results)

  • [Publications] Yoshida, K., Imai, H., Sato, Y.: "New criteria for tests of dimensionality under elliptical populations"Journal of the Japan Statistical Society. 32・2. 183-192 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A., Imai, H.: "A formula for normalizing transformation of same statistics"Communications in Statistics---Theory and Methods. 31・2. 163-179 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A.: "Asymptotic approximations for the distributions of the multinomial goodness-of-fit statistics under local alternatives"Journal of Multivariate Analysis. 81・2. 335-359 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, Y.: "The performance of an autonomous clustering technique"Classification, Clustering and Data analysis (eds. Jajuga, K. et al.), Springer-Verlag. 107-112 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Imai, H., Yuan, Y., Sato, Y.: "Parameter estimation and image restoration using the families of projection filters and parametric projection filters"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E82-A(8). 1966-1969 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Minami, H., Komiya, Y., Mizuta, M.: "Evaluation of execution time on data analysis with parallel virtual machine"Journal of the Japanese Society of Computational Statistics. 15(In press). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Fujikoshi, Y., Kanda, T., Ohtaki, M.: "Growth curve model with hierarchical within-individual design matrices"Annals of the Institute of Statistical Mathematics. 51. 707-721 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sekiya, Y., Taneichi, N., Imai, H.: "A power approximation for multinomial goodness-of-fit test based on a normalizing transformation"Journal of the Japan Statistical Society. 29(1). 79-87 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sakurai, H., Taguri, M., Ishiduka, M.: "Two estimated snow load curves and the bootstrap significance test"Journal of the Japanese Society of Computational Statistics. 12(1). 51-65 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kurihara, K., Myers, W. L., Patil, G. P.: "Echelon analysis of the relationship between population and land cover patterns based on remote sensing data"Community Ecology. 1. 103-122 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Nakayama, T., Satoh, K., Ohtaki, M.: "Statistical analysis of female proportion among Japanese infant population of 0-4 year olds"Japanese Journal of Biometrics. 20. 155-166 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Suzukawa, A., Taneichi, N.: "Estimation of survival function based on modeling of censoring pattern"Journal of the Japan Statistical Society. 30(2). 177-195 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Ohtaki, M., Niwa, O.: "Mathematical implications for radiation carcinogenesis based on hypothesis of induction of genomic instability"Japanese Journal of Biometrics. 21(1). 77-84 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Suzukawa, A., Imai, H., Sato, Y.: "Kullback-Leibler information consistent estimator for censored data"Annals of the Institute of Statistical Mathematics. 53(2). 262-276 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Imai, H., Yuan, Y., Sato, Y.: "Parameter estimation and image restoration using the families of projection filters and parametric projection filters"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E85-A(8). 1966-1969 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Suzukawa, A.: "Asymptotic properties of Aalen-Johansen integrals for competing risks data"Journal of the Japan Statistical Society. 32(1). 77-93 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A.: "Asymptotic approximations for the distributions of the multinomial goodness-of-fit statistics under local alternatives"Journal of Multivariate Analysis. 81(2). 335-359 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A., Imai, H.: "A formula for normalizing transformation of some statistics"Communications in Statistics - Theory and Methods. 31(2). 163-179 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yoshida, K., Imai, H., Sato, Y.: "New criteria for tests of dimensionality under elliptical populations"Journal of the Japan Statistical Society. 32(2). 183-192 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Mizuta, M., Minami, H., (eds. Kiers, et al.): "An algorithm with projection pursuit for sliced inverse regression model, Data Analysis, Classification, and Related Methods"Springer-Verlag. 255-260 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Sato, Y., (eds. Jajuga, K. et al.): "The performance of an autonomous clustering technique, Classification, Clustering and Data analysis"Springer-Verlag. 107-112 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Mizuta, M., (eds. Yanai, H. et al.): "On conditional distribution of sliced inverse regression model, New Developments in Psychometrics"Springer-Verlag. 347-354 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yoshida, K, Imai, H., Sato, Y.: "New criteria for tests of dimensionality under elliptical populations"Journal of the Japan Statistical Society. 32・2. 183-192 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A, Imai, H.: "A formula for normalizing transformation of some statistics"Communications in Statistics ---Theory and Methods. 31・2. 163-179 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Taneichi, N., Sekiya, Y., Suzukawa, A.: "Asymptotic approximations for the distributions of the multinomial goodness-of-fit statistics under local alternatives"Journal of Multivariate Analysis. 81・2. 335-359 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Sato, Y.: "The performance of an autonomous clustering technique"Classification, Clustering and Data analysis (eds. Jajuga, K. et al.), Springer-Verlag. 107-112 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Imai, H., Yuan, Y., Sato, Y.: "Parameter estimation and image restoration using the families of projection filters and parametric projection filters"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E82-A(8). 1966-1969 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Minami, H., Komiya, Y., Mizuta, M: "Evaluation of execution time on data analysis with parallel virtual machine"Journal of the Japanese Society of Computational Statistics. 15(In press). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Suzukawa, A., Imai, H., Sato, Y.: "Kullback-Leibler Information Consistent Estimator for Censored Data"Annals of the Institute of Statistical Mathematics. 53・2. 262-276 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Murai, T., Sato, Y.: "Anticipation in Belief Formation Systems Based on Evidence"Computing Anticipatory Systems (ed.D.M.Dubois). 496-507 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tokairin, T., Sato, Y.: "The method to decide the dimension of data by MDL criterion"Proceedings of International Conference on New Trends in Computational Statistics with Biomedical Applications. 355-360 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 松田光弘, 南 弘征, 水田正弘: "射影追跡層別逆回帰法における並列計算について"応用統計学. 30・2. 1-10 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 南 弘征, 山本義郎, 水田正弘, 森 裕一, 栗原考次, 馬場康維, 垂水共之: "インターネットを介した統計パネル討論の試行"計算機統計学. 12・2. 137-143 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山本義郎, 水田正弘: "非線形データ解析への計算機統計的アプローチ"計算機統計学. 13・1. 59-70 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 清水信夫,水田正弘,佐藤義治: "Principal Pointsの対称性に関する定理について"計算機統計学. 12・1. 45-53 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 下川真由子,水田正弘,佐藤義治: "関数データ解析における関数回帰分析の拡張"応用統計学. 29・1. 27-39 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 田中章,今井英幸,宮腰政明: "ノルム拘束に基づくパラメトリック射影フィルタ族の正則化"電子情報通信学会論文誌A. J83-A・6. 812-820 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Minami, H.Komiya, Y.and Mizuta, M: "A Parallel Implementation for the Bootstrap"Proc.the 7-th International Conference on Neural Information Processing. 1078-1082 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mizuta, M: "Functional Multidimensional Scaling"Proc.the 10-th Japan and Korea Joint Conference of Statistics. 77-82 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Murai, T.and Sato, Y.: "Association Rules from a point of View of Modal Logic"Proc.The fourth Asian Fuzy Systems Symposium. 427-432 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Taneichi, N., Sekiya, Y.and Suzukawa, A.: "Normalizing Transformation and their Application to Test Stasistics"Proc.the 10-th Japan and Korea Joint Conference of Statistics. 197-202 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 山本義郎,垂水共之: "Web上の統計解析システムの構築-CGIによる統計処理とグラフ描画の実装-"計算機統計学. 11・1. 45-50 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 村井哲也: "ラフ集合と様相論理、データ・マイニング"計算機統計学. 11・2. 103-111 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A. Kitada, T.Murai. and Y. Sato: "A Data Structure for Dynamic Data Mining"Proc. of the Third International Conference on Knowledge-Based Intelligent Information Engineering System. 530-533 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Sekiya, N. Taneichi and H. Imai: "A power approximation for multinomial goodness-of-fit test based on a normalizing transformation"Journal of the Japan Statistical Society. 29・1. 79-87 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Sato: "Fuzzy Clustering for Time-Dependent Similarity"Proc. Japan Classification Society. 21-35 (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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