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Testing Parameter Constancy in Stationary Vector Autoregressive Models Against Continuous Change

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  • Changli He
  • Timo Terasvirta
  • Andres Gonzalez

Abstract

In this article 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.

Suggested Citation

  • Changli He & Timo Terasvirta & Andres Gonzalez, 2009. "Testing Parameter Constancy in Stationary Vector Autoregressive Models Against Continuous Change," Econometric Reviews, Taylor & Francis Journals, vol. 28(1-3), pages 225-245.
  • Handle: RePEc:taf:emetrv:v:28:y:2009:i:1-3:p:225-245
    DOI: 10.1080/07474930802388041
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    References listed on IDEAS

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    1. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    2. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    3. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    4. David Edgerton & Ghazi Shukur, 1999. "Testing autocorrelation in a system perspective testing autocorrelation," Econometric Reviews, Taylor & Francis Journals, vol. 18(4), pages 343-386.
    5. 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.
    6. 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.
    7. 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.
    8. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    9. 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.
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    Citations

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    Cited by:

    1. Timo Teräsvirta & Yukai Yang, 2014. "Linearity and Misspecification Tests for Vector Smooth Transition Regression Models," CREATES Research Papers 2014-04, Department of Economics and Business Economics, Aarhus University.
    2. 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.
    3. Andrés González & Hernán Rincón & Norberto Rodríguez, 2008. "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.
    4. Li, Dao & He, Changli, 2012. "Testing Common Nonlinear Features in Nonlinear Vector Autoregressive Models," Working Papers 2012:7, Örebro University, School of Business.
    5. Kirstin Hubrich & Timo Teräsvirta, 2013. "Thresholds and Smooth Transitions in Vector Autoregressive Models," CREATES Research Papers 2013-18, Department of Economics and Business Economics, Aarhus University.
    6. Kinnunen, Jyri, 2017. "Dynamic cross-autocorrelation in stock returns," Journal of Empirical Finance, Elsevier, vol. 40(C), pages 162-173.
    7. Hernán Rincón-Castro & Norberto Rodríguez-Niño, 2018. "Nonlinear state and shock dependence of exchange rate pass through on prices," BIS Working Papers 690, Bank for International Settlements.
    8. 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.
    9. 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.
    10. Hernán Rincón-Castro & Norberto Rodríguez-Niño, 2016. "Nonlinear Pass-Through of Exchange Rate Shocks on Inflation: A Bayesian Smooth Transition VAR Approach," Borradores de Economia 930, Banco de la Republica de Colombia.

    More about this item

    Keywords

    JEL; C32; C12;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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