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Unitroot and Coibtegration in econonetrics

Research Project

Project/Area Number 05630013
Research Category

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

Allocation TypeSingle-year Grants
Research Field Economic statistics
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

MORIMUNE Kimio  Kyoto Univ.Instituye of economic Research professor, 経済研究所, 教授 (20109078)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1994: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1993: ¥900,000 (Direct Cost: ¥900,000)
Keywordssimultaneous equation / cointegration / unit root / random walk / error correction model / voctor auto-regression / ランダム ウォーク
Research Abstract

We apply the non-stationary test of the Granger causality between the Japanese money supply and GNP in this paper. The unit root techniques and the co-integration analysis have grown rapidly in econometrics in the last ten years, and the non-stationary test for Granger causality is developed. We shed new lights on the money income causality using the non-stationary techniques.
We firstly specify the uni-variate ARMA models of the money, income, GNP deflator, and the rate of interest using the Dickey and Fuller (DF) or the augmented DF (ADF) tests. Two diagnostic tests are applied to each selected ARMA regression. One is the residual DF test, and the other is the MA unit root test of residuals. After the ARMA model selection, the VAR regression is estimated with co-integrated relation using Johansen's maximum likelihood method. In this estimation, the lag length of each variable is taken to be different from each other which are kept the same in Johansen. The two causality tests are applied to the VAR one of which is the maximum likeliood and the other is the OLS method. It is found out that the income is causing money but not the opposite. Further analyzes of the causality are performed using various lag lengths in VAR but keeping the same lag length for all variables. The income to money causality is found again.
The causality is examined for the shorter sample periods which are used by Oritani (1979) . There, the money is found to be non-stationary but the income is stationary. The Granger test is modified to the VAR which includes both stationary and non-stationary variables. The Granger test resulted in the income to money causality, not in the money to income causality. Comments follow on the filter used by Sims (1972) .

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] 森棟・坂田: "Modified three-stage least squares which is third-order efficient" Journal of Econometrics. 57. 257-276 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟・坂野: "計量経済学における回帰診断" 日本統計学会誌. 22. 557-583 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟、万谷: "Estimating the Rank of Co-Integration when the order of a Vector Autoregression is unknown" International congresson modelling and simulation. 1. 205-210 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟・万谷: "Estimating the Rank of Co-Integration After Estimating the order of a Vector Autoregression" Vapanese Economic Review. 46. 80-97 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟: "時系列分析の新展開" 経済論叢. 155. 81-102 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟・竹内: "補助回帰による計量分析" 竹内、竹村編「数理統計学の理論と応用」. 195-218 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟: "「経済モデルの推定と検定(韓国語訳)" 自由出版社(ソウル、韓国), 240 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Shinichi Sakata: "Modified three-stage least squares estimator which is third-order efficient" Journal of Econometrics. Vol.57. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Shiya Sakano: "Regression diagnostics in econometrics (Japanese)" Journal of the Japan Statisticsl Association. Vol.22. 557-583

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Akihisa Mantani: "The Order of the Vector Auto-regressive Process with Unit Roots" Discussion Paper. No.383, September 1. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Akihisa Mantani: "Estimating the Rank of Co-Integration When the Order of a Vector Autoregression is unknown" PROCEEDINGS INTERNATIONAL CONGRESS ON MODELLING AND SIMULATION Edited by Michael McAleer and Anthony Jakeman. Volume 1. 205-210 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Akihisa Mantani: "Estimating the Rank of Co-Integration After Estimating the Order of a Vector Autoregression" Japanese Economic Review. Volume 46, No2 forthcoming. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Guo Qing Zhao: "The Unit Root Analyzes of the Causality Between the Japanese Money and Income" Discussion Paper No.412.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune: Statistical in inference the simultaneous equation model (Korean). Published in Korea,

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune and Yoshiyuki Takeuchi: Auxilially regression in econometrics (Japanese) in "Statistical theory and its application "Edited by Takeuchi.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Kimio Morimune: Non-stationary time series (Japanese) in "Statistical Inference in the monetary economy "edited by Honda.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 森棟・坂田: "Modified three-stage least squares which is third-order efficient" Journal of Econometrics. 57. 257-276 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟・坂野: "計量経済学における回帰診断" 日本統計学会誌. 22. 557-583 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟・万谷: "Estimaiting the Rank of Co-Integration when the Order of a Vector Autovegression is unknown" International congress on modelling and Simulation. 1. 205-210 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟・万谷: "Estimating the Rank of Co-Integration Affer Estimating the order of a Vector Autoregression" Japanese Economic Review. 46. 80-97 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟: "時系列分析の新展開" 経済論叢. 155. 81-102 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟・竹内: "補助回帰による計量分析" 竹内-竹村編「数理統計学の理論と応用」. 195-218 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟: "「経済モデルの推定と検定(韓国語訳)」" 自由出版社(ソウル・韓国), 240 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森棟・坂田: "Modified Three-Stage Estimator Which is Third Order Efficient" Journal of Econometrics. 57. 257-276 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森棟・マカリアー: "Switching Orthogonality" International Economic Review. (1995)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森棟・坂野: "計量経済学における回帰診断1" 日本統計学会誌. 22. 557-583 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森棟・万谷: "Estimating the rank of Cointegration after eslimating the order of autoregression" Economic Studies Quarterly.

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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