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Testing parameter constancy in stationary vector autoregressive models against continuous change

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Author Info

  • He, Changli

    ()
    (Dept. of Economic Statistics, Stockholm School of Economics)

  • Teräsvirta, Timo

    ()
    (Dept. of Economic Statistics, Stockholm School of Economics)

  • González, Andres

    ()
    (Dept. of Economic Statistics, Stockholm School of Economics)

Abstract

In this paper we derive a parameter constancy test of a stationary vector autoregressive model against the hypothesis that the parameters of the model change smoothly over time. A single structural break is contained in this alternative hypothesis as a special case. The test is a generalization of a single-equation test of a similar hypothesis proposed in the literature. An advantage here is that the asymptotic distribution theory is standard. The performance of the tests is compared to that of generalized Chow-tests and found satisfactory in terms of both size and power.

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Bibliographic Info

Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 507.

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Length: 24 pages
Date of creation: 30 Aug 2002
Date of revision: 06 May 2004
Publication status: Published in Econometric Reviews, 2009, pages 225-245.
Handle: RePEc:hhs:hastef:0507

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Keywords: econometric modelling; misspecification test; parameter stability; smooth transition; structural break;

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References

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  1. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
  2. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March.
  3. Ripatti, Antti & null, Pentti, 2001. "Vector Autoregressive Processes With Nonlinear Time Trends In Cointegrating Relations," Macroeconomic Dynamics, Cambridge University Press, vol. 5(04), pages 577-597, September.
  4. Henrik Hansen & Søren Johansen, 1999. "Some tests for parameter constancy in cointegrated VAR-models," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 306-333.
  5. Donald W.K. Andrews, 1990. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Cowles Foundation Discussion Papers 943, Cowles Foundation for Research in Economics, Yale University.
  6. David Edgerton & Ghazi Shukur, 1999. "Testing autocorrelation in a system perspective testing autocorrelation," Econometric Reviews, Taylor & Francis Journals, vol. 18(4), pages 343-386.
  7. Donald W.K. Andrews & Werner Ploberger, 1992. "Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative," Cowles Foundation Discussion Papers 1015, Cowles Foundation for Research in Economics, Yale University.
  8. Lin, Chien-Fu Jeff & Terasvirta, Timo, 1994. "Testing the constancy of regression parameters against continuous structural change," Journal of Econometrics, Elsevier, vol. 62(2), pages 211-228, June.
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Citations

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Cited by:
  1. Kirstin Hubrich & Timo Teräsvirta, 2013. "Thresholds and Smooth Transitions in Vector Autoregressive Models," CREATES Research Papers 2013-18, School of Economics and Management, University of Aarhus.
  2. Andrés González & Hernán Rincón & Norberto Rodríguez, . "La transmisión de los choques a la tasa de cambio sobre la inflación de los bienes importados en presencia de asimetrías," Borradores de Economia 532, Banco de la Republica de Colombia.
  3. Maertens Odria, Luís Ricardo & Castillo, Paul & Rodriguez, Gabriel, 2012. "Does the exchange rate pass-through into prices change when inflation targeting is adopted? The Peruvian case study between 1994 and 2007," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 1154-1166.
  4. Hannu Koskinen, 2004. "Modelling of Structural Changes in Demand for Money Cointegration Relations," Finnish Economic Papers, Finnish Economic Association, vol. 17(2), pages 63-72, Autumn.
  5. Li, Dao & He, Changli, 2012. "Testing Common Nonlinear Features in Nonlinear Vector Autoregressive Models," Working Papers 2012:7, Örebro University, School of Business.
  6. Andrés González & Hernán Rincóm & Norberto Rodríguez, 2008. "La transmisión de los choques a la tasa de cambio sobre la inflación," BORRADORES DE ECONOMIA 005089, BANCO DE LA REPÚBLICA.

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