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Causality and separability

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  • Renault, Eric
  • Triacca, Umberto

Abstract

Following Wold (1954), a causal relationship from a vector y of economic variables towards a vector x should be interpreted through a fictive controlled experiment. At least one factor y(i) component of y should have an impact on x when other factors y(j), j≠i, are kept constant. It is arguably a logical weakness of the causality concept when this interpretation breaks down, due to common factors between the components of y. We provide a general separability condition between causal factors to restore their causal interpretation. This general approach can be applied to most of the commonly used causality concepts in modern econometrics.

Suggested Citation

  • Renault, Eric & Triacca, Umberto, 2015. "Causality and separability," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 1-5.
    • Handle: RePEc:eee:stapro:v:99:y:2015:i:c:p:1-5
    DOI: 10.1016/j.spl.2014.12.018
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    References listed on IDEAS

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    1. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    2. Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-552, September.
    3. Jean-Marie Dufour & Eric Renault, 1998. "Short Run and Long Run Causality in Time Series: Theory," Econometrica, Econometric Society, vol. 66(5), pages 1099-1126, September.
    4. Eichler, Michael, 2007. "Granger causality and path diagrams for multivariate time series," Journal of Econometrics, Elsevier, vol. 137(2), pages 334-353, April.
    5. Florens, J.P. & Mouchart, M. & Rolin, J.M., 1993. "Noncausality and Marginalization of Markov Processes," Econometric Theory, Cambridge University Press, vol. 9(2), pages 241-262, April.
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    Cited by:

    1. Triacca, Umberto, 2018. "Granger causality between vectors of time series: A puzzling property," Statistics & Probability Letters, Elsevier, vol. 142(C), pages 39-43.

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