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Methods For Nonstationary And Nonlinear Models In Economic Time Series And Their Applications

Research Project

Project/Area Number 11630028
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionHiroshima University

Principal Investigator

MAEKAWA Koichi  Hiroshima Univ., Economics, Professor, 経済学部, 教授 (20033748)

Co-Investigator(Kenkyū-buntansha) TEE Kian Heng  Hiroshima Univ., Economics, Lecturer, 経済学部, 講師 (70325140)
PINTO Dos Santos  Hiroshima Univ., Economics, Associate Professor, 経済学部, 助教授 (20274045)
ODAKI Mitsuhiro  Hiroshima Univ., Economics, Professor, 経済学部, 助教授 (00194564)
KURATA Hiroshi  Tokyo Univ., Graduate School Of Arts And Sciences, Associate Professor, 大学院・総合文化研究科, 助教授 (50284237)
HISAMATSU Hiroyuki  Kagawa Univ., Economics, Professor, 経済学部, 教授 (90228726)
福地 純一郎  広島大学, 経済学部, 助教授 (00274043)
北岡 孝義  広島大学, 経済学部, 教授 (60116572)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2001: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1999: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsSUR model / unit root / cointegration / structural change / macro economic time series / time series of stock data / simulation analysis / nonlinear regression / 非線形回帰モデル / 非定常時系列 / 因果性 / 漸近分布 / SURモデル
Research Abstract

This project concerns with theory and application of non-stationary and non-linear time series regression models. Our studies can be grouped in the three categories : Category (1) deals with both non-stationary and non-linearlity, (2) deals with non-stationary, (3) theory of regression which is the base of studies of (1) and (2). We obtained the following results.
A) Concerning (1) Maekawa and Tee proposed a method of estimating a point of time of structural change in a time series when a time series has a unit root. Our result was presented at the annual meeting of Japan statistical association and MODSIM2001 held in Canberra, Australia and conferences. Our method is found to be better than other existing methods in the literature on this problem.
B) Concerning (2) Maekawa and Hisamatsu studied SUR model with non-stationary regressors by asymptotic theory and Monte Carlo simulation and found that Zellner's two estimators were superior to OLS estimator as in the stationary case. This result is published in Handbook of applied econometrics and statistical inference (2002, Marcel Dekker, Inc.). Maekawa and Zongle He showed that usual F test for Granger's causality often detected spurious causality between two independent and irrelevant time series one of or both of which is/or random walk(s). This results was published in Economics letters, 2001.
(C) Concerning (3) Kurata studied statistical properties of the GLS estimator in SUR model and a general linear regression model. Fukuchi studied subsampling method in time series regression.
In addition we invited Professor J. Park at Seoul University to hear the recent development on non-stationary and non-linear time series. Maekawa visited the National University of Singapore to meet Professor Y. Tse to discuss non-stationary and non-linear tome series regression models in financial time series.

Report

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

    (48 results)

All Other

All Publications (48 results)

  • [Publications] Hiroshi Kurata: "On the efficiency of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model"Journal of Multivariate Analysis. 70・1. 86-94 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Juan Carlos Abril, Koichi Maekawa: "The use of the Durbin-Watson test in non-linear regression models"Pakistan Journal of statistics. 15・1. 41-46 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jun-Ichiro Fukuchi: "Subsampling and model selection in time series analysis"Biometrika. 86・3. 591-604 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Mitsuhiro Odaki: "A testing method for Granger causality in cointegrated time series systems"広島大学経済論叢. 23・1&2. 49-87 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Pinto DosSantos: "On the factors that influence the number of stockholders"広島大学経済論叢. 23・1&2. 117-129 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroshi Kurata: "A note on an upper bound for the covariance matrix of a generalized least sqyares estimator in a heteroscedastics model"Scientiae Mathematicae Japonicae. 53・1. 161-169 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroyuki Hisamatsu, Koichi Maekawa: "F Test for Unit Roots in a VAR Model"香川大学経済論叢. 73・3. 241-257 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Pinto DosSantos: "A cautionary note on the choice of the risk-free interest rate in Japan"広島大学経済論叢. 24・3. 93-99 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Pinto DosSantos: "The Intra-Month effect in TOPIX stock returns"広島大学経済論叢. 25・1&2. 31-52 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Mitsuhiro Odaki: "Vector autoregressive representations for time series systems characterized by various patters of cointegration"広島大学経済論叢. 24・3. 53-91 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zonglu He, Kichi Maekawa: "On spurious Granger causality"Economics Letters. 73. 307-313 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zonglu He, Kianheng Tee: "構造変化の推定方法-Hatanaka-Yamada(1999)との比較-"広島大学経済論叢. 25・3. 43-49 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 北岡 孝義: "公共投資の効率性-日豪比較-"大洋州経済学会. 10(近刊). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Aman Ullah, Alan T.K.Wan., Anoop Chaturvedi: "Handbook of Applied Econometrics and Statistical Inference (第27章を分担:SUR model with integrated regressors久松博之と共同執筆)"Marcel Dekker, Inc.. 718 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroshi Kurata: "On the efficiencies of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model"Journal of Multivariate Analysis. Vol.70. 86-94 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Juan Carlos Abril and Koichi Maekawa: "The use of the Durbin-Watson test in non-linear regression models"Pakistan Journal of statistics. Vol.15・1. 41-46 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jun-Ichiro Fukuchi: "Subsampling and model selection in time series analysis"Biometrika. Vol.86・3. 591-604 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Mitsuhiro Odaki: "A testing method for Granger causality in cointegrated time series systems"The Hiroshima Economic Review. Vol.23 No.1・2. 49-87 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Pinto DosSantos: "On the factors that influence the number of stockholders"The Hiroshima Economic Review. Vol.23 No.1・2. 117-129 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroshi Kurata: "A note on an upper bound for the covariance matrix of a generalized least squares estimator in a heteroscedastic model"Scientine Mathematicae Japonicae. Vol.53・1. 161-169 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Hiroyuki Hisamatsu and Koichi Maekawa: "F test for unit roots in a VAR model"The Kagawa University Economic Review. Vol.74 No.3. 241-257 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jose Miguel Pinto DosSantos: "A cautionary note on the choice of the risk-free interest rate in Japan"The Hiroshima Economic Review. Vol.24 No.3. 93-99 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jose Miguel Pinto DosSantos: "The Intra-Month effect in TOPIX stock returns"The Hiroshima Economic Review. Vol.25 No.1・2. 31-52 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Mitsuhiro Odaki: "Vector autoregressive representations for time series systems characterized by various patterns of cointegration"The Hiroshima Economic Review. Vol.24 No.3. 54-91 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zonglu He and Koichi Maekawa: "On spurious Granger causality"Economics Letters. Vol.73. 307-313 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zonglu He and Kianheng Tee: "Method of estimating Structure Changes - Comparison with Hatanaka Yamada (1999) -"The Hiroshima Economic Review. Vol.25 No.3. 43-49 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Takayoshi Kitaoka: "The efficiency of public investment -Japan and Australia compared"The Studies of Oceania Economy. Vol.10 (forthcoming). (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Aman Ullah, Alan T.K. Wan and Anoop Chaturvedi: "Handbook of applied econometrics and statistical inference (Chapter 22 : SUR model with integrated regressors, Hiroyuki Hisamatsu and Kochi Maekawa)"Marcel Dekker, Inc.. 469-490 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 倉田 博史: "A note on an upper bound for the covariance matrix of a generalized least sqyares estimator in a heteroscedastics model"Scientiae Mathematicae Japonicae. 53・1. 161-169 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 倉田 博史: "On the efficiency of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model"Journal of Multivariate Analysis. 70・1. 86-94 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] 何 宗路, 前川功一: "On spurious Granger causality"Economics Letters. 73. 307-313 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小滝 光博: "Vector autoregressive representations for time series systems characterized by various patters of cointegration"広島大学経済論叢. 24・3. 53-91 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 久松博之, 前川功一: "F Test for Unit Roots in a VAR Model"香川大学経済論叢. 73・3. 241-257 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 福地 純一郎: "Subsampling and model selection in time series analysis"Biometrika. 86・3. 591-604 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Aman Uller: "Handbook of Applied Econometrics and Statistical Inference(第27章を分担:SUR model with integrated regressors久松博之と共同執筆)"Marcel Dekker, Inc.. 718 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 倉田博史: "A note on an upper bound for the covariance matrix of a generalized least sqyares estimator in a heteroscedastics model"Scientiae Mathematicae Japonicae. 53・1. 161-169 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 倉田博史: "On the efficiency of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model"Journal of Multivariate Analysis. 70・1. 86-94 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] 小瀧光博: "A testing method for Granger Causality in cointegrated time series system"広島大学経済論叢. 23・1-2. 49-87 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] 小瀧光博: "Vector autoregressive representations for time series systems characterized by various patters of cointegration"広島大学経済論叢. 24・3予定. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 久松博之: "On the deficiency of tests for structural change in a non-cointegration regression model"香川大学経済学部 研究年報. 40号. 33-65 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 福地純一郎: "Subsampling and model selection in time series analysis"Biometrika. 86・3. 591-604 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Aman Uller: "Handbook of Applied Econometrics and Statistical Inference(第15章を分担:SUR model with integrated regressors久松博之と共同執筆)"Marcel Dekker, Inc.(予定). 300 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 前川功一: "The use of the Durbin-Watson Test in Non-linear Regression Models"Pakistan Journal of Statistics. 51・1. 41-46 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 小瀧光博: "A testing method for Granger Causality in Cointegrated Time Series Systems"広島大学経済論叢. 23・1. 49-87 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] ピントドスサントス、ジョゼミゲル: "株主数の決定要因"広島大学経済論叢. 23・,1・2. 117-129 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 福地純一郎: "Subsampling and mode selection in time series analysis"Biometrika. 86・3. 591-604 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 久松博之: "非定常SURモデルの推定と検定の漸近理論-改訂版-"香川大学経済論叢. 72・1. 241-270 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 倉田博史: "On the efficiencies of several generalized least squares estimators in a seemingly unrelated regression model and a heteroscedastic model"Journal of Multivariate Analysis. 70・1. 86-94 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2021-04-07  

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