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Qualitative and Quantitative Analyses of the Non-stationary Variables

Research Project

Project/Area Number 13630029
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MORIMUNE Kimio  Kyoto University, Graduate School of Economics, Professor, 経済学研究科, 教授 (20109078)

Project Period (FY) 2001 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2004: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
Keywordsautoregressive moving average / unit root / cointegation / volatility / run test / ベクトル時系列 / Bootstrap / Nonparametric / ブラウン運動 / 長期均衡 / 構造変化 / トレンド
Research Abstract

Dickey and Fuller proposed the tests for unit root hypotheses in a uni-variate time series. Perron(1989) extended the t-ratio type unit-root tests so that they allow for a break in the deterministic trend and/or in the intercept term. In practice, it seems difficult to specify the break point correctly. Zivot and Andrews (1992) proposed a test in which the break point is statistically determined but their test does not necessarily lead to an empirically satisfactory break point. Morimune and Nakagawa (1999) studied the effect of a misspecified break point on the Perron tests, and the accuracy of the asymptotic expression is examined under various specifications of the error. This paper proposes to set a break interval that possibly covers a break point in the Perron tests. It is difficult to specify a break point but easier to set a break interval in empirical studies. Tests lose power by setting break intervals, but it helps to avoid misspecifying the break point. The unit root test is less susceptible to the choice of a particular break point. Test is applied to the US macro series. In this application, the break intervals used in our study is varied from the shortest 1930-1930 to the longest 1930-1941 interval in most cases.

Report

(5 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (20 results)

All 2005 2004 2001 1999 Other

All Journal Article (10 results) Book (2 results) Publications (8 results)

  • [Journal Article] Distribution-free statistical inference for generalized Lorenz dominance based on grouped data2004

    • Author(s)
      Murasawa, Morimune
    • Journal Title

      Mathematics and Computers in Simulation 64

      Pages: 133-142

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The Discontinuous Trend Unit Root Test with a break interval2004

    • Author(s)
      Morimune, Nakagawa
    • Journal Title

      The Kyoto Economic Review 73

      Pages: 41-45

    • NAID

      120000906173

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Distribution-free statistical inference for generalized Lorenz dominance based on grouped data2004

    • Author(s)
      Y.Murasawa
    • Journal Title

      Mathematics and Computers in Simulation(Elsevier Science) Vol.64

      Pages: 133-142

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The Discontinuous Trend Unit Root Test with a break interval2004

    • Author(s)
      M.Nakagawa
    • Journal Title

      The Kyoto Economic Review 73

      Pages: 41-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The Discontinuous Trend Unit Root Test with a break interval2004

    • Author(s)
      morimune
    • Journal Title

      The Kyoto Economic Review 73

      Pages: 41-55

    • NAID

      120000906173

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Power comparisons of the discontinuous trend unit root tests2001

    • Author(s)
      Morimune, Nakagawa
    • Journal Title

      The Nonlinear Models of Econometric Inference 1

      Pages: 349-362

    • NAID

      10009946686

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Simultaneous Equation Estimation : exact and approximate distribution of estimates2001

    • Author(s)
      Morimune
    • Journal Title

      International Encyclopedia of the Social & Behavioral Sciences 1

      Pages: 14101-14106

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Power comparisons of the discontinuous trend unit root tests2001

    • Author(s)
      Mitsuru Nakagawa
    • Journal Title

      The Nonlinear Models of Econometric Inference (Edited by Cheng Hsiao, Kimio Morimune, and James L.Powell)(Cambridge University Press)

      Pages: 349-362

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Simultaneous Equation Estimation : exact and approximate distribution of estimates2001

    • Journal Title

      International Encyclopedia of the Social & Behavioral Sciences (Elsevier Science)

      Pages: 14101-14106

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Overview of the Unit Root Test1999

    • Journal Title

      Proceedings of the International Congress on Modelling and Simulation Vol.4

      Pages: 1129-1136

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 基礎コース:計量経済学2005

    • Author(s)
      森棟公夫
    • Total Pages
      303
    • Publisher
      新世社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 基礎コース計量経済学2004

    • Author(s)
      森棟公夫
    • Total Pages
      303
    • Publisher
      新世社
    • Related Report
      2004 Annual Research Report
  • [Publications] Murasawa, Morimune: "Distribution-free statistical inference for generalized Lorenz dominance based on grouped data"Mathematics and Comuters in Simulation. 180-190 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Morimune: "Deciding Break Interval in the Discontinuous Trend Unit Root Test"International Environmental Modeling and Software. 580-585 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Murasawa, Morimune: "Distribution-free statistical inference for generalized Lorenz dominance based on grouped data"International Congress on Modelling and simulation. 5. 1231-1236 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hsiao, Morimune, Powell: "The Nonlinear Models of Econometric Inference"Cambridge University Press. 423 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] Morimune: "Simultaneous Equation Estimation : exact and approximate distribution of estimates"International Encyclopedia of the Social & Behavioral Science. 312-321 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Morimune: "Power comparisons of the discontinuous trend unit root tests"The Nonlinear Models of Econometric Inference. 349-362 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Morimune: "Overview of the Unit Root Test"International Congress on Modelling and Simulation. 4. 1129-1136 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hsiao, Morimune, Powell: "The Nonlinear Models of Econometric Inference"Cambridge University Press. 423 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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