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Short Run and Long Run Causality in Time Series : Inference

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Author Info
DUFOUR, Jean-Marie
PELLETIER, Denis
RENAULT, Éric

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Abstract

We propose methods for testing hypotheses of non-causality at various horizons, as defined in Dufour and Renault (1998, Econometrica). We study in detail the case of VAR models and we propose linear methods based on running vector autoregressions at different horizons. While the hypotheses considered are nonlinear, the proposed methods only require linear regression techniques as well as standard Gaussian asymptotic distributional theory. Bootstrap procedures are also considered. For the case of integrated processes, we propose extended regression methods that avoid nonstandard asymptotics. The methods are applied to a VAR model of the U.S. economy.

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Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 14-2003.

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Length: 28 pages
Date of creation: 2003
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Handle: RePEc:mtl:montec:14-2003

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Keywords: Time series; Granger causality; indirect causality; multiple horizon causality; autoregression; autoregressive model; vector autoregression; VAR; stationary process; nonstationary process; integrated process; unit root; extended autoregression; bootstrap; Monte Carlo; macroeconomics; money; interest rates; output; inflation;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
  3. Toda, Hiro Y. & Yamamoto, Taku, 1995. "Statistical inference in vector autoregressions with possibly integrated processes," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 225-250. [Downloadable!] (restricted)
  4. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January. [Downloadable!] (restricted)
  5. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
    Other versions:
  6. Renault, Eric & Sekkat, Khalid & Szafarz, Ariane, 1998. "Testing for spurious causality in exchange rates," Journal of Empirical Finance, Elsevier, vol. 5(1), pages 47-66, January. [Downloadable!] (restricted)
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  7. Juan J. DOLADO & Helmut LUETKEPOHL, . "Making Wald Tests Work for Cointegrated Var Systems," Sonderforschungsbereich 373 1994-44, Humboldt Universitaet Berlin.
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  8. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-93, November. [Downloadable!] (restricted)
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  9. Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 2," Cowles Foundation Discussion Papers 819R, Cowles Foundation, Yale University, revised Feb 1987. [Downloadable!]
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  10. Yamada, Hiroshi & Toda, Hiro Y., 1998. "Inference in possibly integrated vector autoregressive models: some finite sample evidence," Journal of Econometrics, Elsevier, vol. 86(1), pages 55-95, June. [Downloadable!] (restricted)
  11. Dufour, Jean-Marie, 2006. "Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics," Journal of Econometrics, Elsevier, vol. 133(2), pages 443-477, August. [Downloadable!] (restricted)
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  12. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July. [Downloadable!] (restricted)
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  13. L?tkepohl, Helmut & POSKITT, D.S., 1996. "Testing for Causation Using Infinite Order Vector Autoregressive Processes," Econometric Theory, Cambridge University Press, vol. 12(01), pages 61-87, March. [Downloadable!]
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  17. Lutkepohl, Helmut & Saikkonen, Pentti, 1997. "Impulse response analysis in infinite order cointegrated vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 127-157, November. [Downloadable!] (restricted)
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  18. Boudjellaba, B. & Dufour, J.M. & Roy, R., 1991. "Testing Causality Between Two Vectors in Multivariate Arma Models," Cahiers de recherche 9119, Universite de Montreal, Departement de sciences economiques.
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  19. Wooldridge, Jeffrey M., 1989. "A computationally simple heteroskedasticity and serial correlation robust standard error for the linear regression model," Economics Letters, Elsevier, vol. 31(3), pages 239-243, December. [Downloadable!] (restricted)
  20. DUFOUR, Jean-Marie & PELLETIER, Denis & RENAULT, Éric, 2003. "Short Run and Long Run Causality in Time Series : Inference," Cahiers de recherche 14-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
    Other versions:
  21. Hiro Y. Toda & Peter C.B. Phillips, 1991. "Vector Autoregression and Causality: A Theoretical Overview and Simulation Study," Cowles Foundation Discussion Papers 1001, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  22. Paparoditis, Efstathios, 1996. "Bootstrapping Autoregressive and Moving Average Parameter Estimates of Infinite Order Vector Autoregressive Processes," Journal of Multivariate Analysis, Elsevier, vol. 57(2), pages 277-296, May. [Downloadable!] (restricted)
  23. Pierce, David A. & Haugh, Larry D., 1977. "Causality in temporal systems : Characterization and a survey," Journal of Econometrics, Elsevier, vol. 5(3), pages 265-293, May. [Downloadable!] (restricted)
  24. repec:cup:etheor:v:12:y:1996:i:1:p:61-87 is not listed on IDEAS
  25. repec:cup:etheor:v:9:y:1993:i:2:p:263-82 is not listed on IDEAS
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    Other versions:
  28. Lutz Kilian, 1998. "Confidence intervals for impulse responses under departures from normality," Econometric Reviews, Taylor and Francis Journals, vol. 17(1), pages 1-29. [Downloadable!] (restricted)
  29. Choi, In, 1993. "Asymptotic Normality of the Least-Squares Estimates for Higher Order Autoregressive Integrated Processes with Some Applications," Econometric Theory, Cambridge University Press, vol. 9(02), pages 263-282, April. [Downloadable!]
  30. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January. [Downloadable!] (restricted)
  31. Hansen, Bruce E, 1992. "Consistent Covariance Matrix Estimation for Dependent Heterogeneous Processes," Econometrica, Econometric Society, vol. 60(4), pages 967-72, July. [Downloadable!] (restricted)
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  33. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Yiannis Kamarianakis & Vagelis Kaslis, 2005. "Geographical competition-complementarity relationships between Greek regional economies," ERSA conference papers ersa05p552, European Regional Science Association. [Downloadable!]
  2. Judith A. Clarke & Mukesh Ralhan, 2005. "Direct and Indirect Causality Between Exports and Economic Output for Bangladesh and Sri Lanka: Horizon Matters," Econometrics Working Papers 0512, Department of Economics, University of Victoria. [Downloadable!]
  3. Jonathan B. Hill, 2004. "Efficient Tests of Long-Run Causation in Trivariate VAR Processes with a Rolling Window Study of the Money-Income Relationship," Macroeconomics 0407013, EconWPA, revised 17 May 2005. [Downloadable!]
    Other versions:
  4. Jonathan B. Hill, 2004. "Causation Delays and Causal Neutralization for General Horizons: The Money-Output Relationship Revisited," Econometrics 0402002, EconWPA, revised 01 Mar 2004. [Downloadable!]
  5. AndrŽ, NYEMBWE & Konstantin, KHOLODILIN, 2005. "North-South Asymmetric Relationships : Does the EMU Business Affect Small African Economies ?," Discussion Papers (ECON - Département des Sciences Economiques) 2005032, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
  6. Dimitris Christopoulos & Miguel A. León-Ledesma, 2009. "On causal Relationships Between Exchange Rates and Fundamentals: Better Than You Think," Studies in Economics 0909, Department of Economics, University of Kent. [Downloadable!]
  7. Vincent Bouvatier, 2007. "Hot Money Inflows and Monetary Stability in China: How the People's Bank of China Took up the Challenge," Money Macro and Finance (MMF) Research Group Conference 2006 161, Money Macro and Finance Research Group. [Downloadable!]
  8. DUFOUR, Jean-Marie & JOUINI, Tarek, 2005. "Finite-Sample Simulation-Based Inference in VAR Models with Applications to Order Selection and Causality Testing," Cahiers de recherche 2005-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  9. Jonathan B. Hill, 2004. "Causation Delays and Causal Neutralization: The Money-Output Relationship Revisited," Working Papers 0403, Florida International University, Department of Economics. [Downloadable!]
  10. J. Breitung & D. Jagodzinski, . "Prognoseeigenschaften alternativer Indikatoren für die Konjunkturentwicklung in Deutschland," Sonderforschungsbereich 373 2002-36, Humboldt Universitaet Berlin.
  11. Vincent Bouvatier, 2006. "Hot money inflows in China : How the people's bank of China took up the challenge," Cahiers de la Maison des Sciences Economiques bla06011, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  12. Jonathan B. Hill, 2005. "Causation Delays and Causal Neutralization up to Three Steps Ahead: The Money-Output Relationship Revisited," Econometrics 0503016, EconWPA, revised 23 Mar 2005. [Downloadable!]
  13. Jean-Marie Dufour & Denis Pelletier & Éric Renault, 2003. "Short Run and Long Run Causality in Time Series: Inference," CIRANO Working Papers 2003s-61, CIRANO. [Downloadable!]
    Other versions:
  14. Jean-Marie Dufour & Abderrahim Taamouti, 2008. "Short and long run causality measures: theory and inference," Economics Working Papers we083720, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  15. Jean-Marie Dufour & David Tessier, 2006. "Short-Run and Long-Run Causality between Monetary Policy Variables and Stock Prices," Working Papers 06-39, Bank of Canada. [Downloadable!]
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