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Causality Along Subspaces: Theory

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  • Al-Sadoon, M.M.

Abstract

This paper extends previous notions of causality to take into account the subspaces along which causality occurs as well as long run causality. The properties of these new notions of causality are extensively studied for a wide variety of time series processes. The paper then proves that the notions of stability, cointegration, and controllability can all be recast under the single framework of causality.

Suggested Citation

  • Al-Sadoon, M.M., 2009. "Causality Along Subspaces: Theory," Cambridge Working Papers in Economics 0919, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:0919
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    File URL: http://www.econ.cam.ac.uk/research-files/repec/cam/pdf/cwpe0919.pdf
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    References listed on IDEAS

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    1. Catherine Bruneau & Eric Jondeau, 1999. "Long‐run Causality, with an Application to International Links Between Long‐term Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 545-568, November.
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    3. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    4. Lutkepohl, Helmut, 1984. "Linear transformations of vector ARMA processes," Journal of Econometrics, Elsevier, vol. 26(3), pages 283-293, December.
    5. Hoover,Kevin D., 2001. "Causality in Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521002882.
    6. Bruneau, Catherine & Jondeau, Eric, 1999. "Long-Run Causality, with an Application to International Links between Long-Term Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 545-568, November.
    7. Otter, Pieter W., 1991. "On Wiener-Granger causality, information and canonical correlation," Economics Letters, Elsevier, vol. 35(2), pages 187-191, February.
    8. Otter, Pieter W, 1990. "Canonical Correlation in Multivariate Time Series Analysis with an Application to One-Year-Ahead and Multiyear-Ahead Macroeconomic Forecasting," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(4), pages 453-457, October.
    9. Thomas J. Sargent & Christopher A. Sims, 1977. "Business cycle modeling without pretending to have too much a priori economic theory," Working Papers 55, Federal Reserve Bank of Minneapolis.
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    Cited by:

    1. Al-Sadoon, Majid M., 2014. "Geometric and long run aspects of Granger causality," Journal of Econometrics, Elsevier, vol. 178(P3), pages 558-568.

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    More about this item

    Keywords

    Granger causality; indirect causality; long run causality; stability; controllability; VARMA.;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • 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

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