Abstract
Cointegration means that two or more time series share common stochastic trends. Thus, while each series exhibits smooth or trending behaviour, a linear combination of the series exhibits no trend. For example, short-term and long-term interest rates are highly serially correlated (so they are smooth and in this sense exhibit a stochastic trend), but the difference between long rates and short rates — the ‘term spread’ — is far less persistent and shows no evidence of a stochastic trend. Long rates and short rates are cointegrated.
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Bibliography
Elliott, G. 1998. The robustness of cointegration methods when regressors almost have unit roots. Econometrica 66, 149–58.
Elliott, G., Rothenberg, T.J. and Stock, J.H. 1996. Efficient tests for an autoregressive unit root. Econometrica 64, 813–36.
Engle, R.F. and Granger, C.W.J. 1987. Co-integration and error correction: representation, estimation, and testing. Econometrica 55, 251–76.
Granger, C.W.J. 1981. Some properties of time series data and their use in econometric specification. Journal of Econometrics 16, 121–30.
Granger, C.W.J. 1986. Developments in the study of co-integrated economic variables. Oxford Bulletin of Economics and Statistics 48, 213–28.
Granger, C.W.J, and Lee, T.H. 1990. Multicointegration. Advances in Econometrics 8, 71–84.
Granger, C.W.J, and Weiss, A.A. 1983. Time series analysis of error-correction models. In Studies in Econometrics, Time Series, and Multivariate Statistics, in Honor of T.W. Anderson, ed. S. Karlin, T. Amemiya and L.A. Goodman. San Diego: Academic.
Hamilton, J.D. 1994. Time Series Analysis. Princeton, NJ: Princeton University Press.
Hansen, B. 1992. Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends. Journal of Econometrics 53, 86–121.
Horvath, M.T.K. and Watson, M.W. 1995. Testing for cointegration when some of the cointegrating vectors are prespecified. Econometric Theory 11, 952–84.
Hylleberg, S., Engle, R.F., Granger, C.W.J. and Yoo, B.S. 1990. Seasonal integration and cointegration. Journal of Econometrics 44, 215–38.
Jansson, M. 2004. Stationarity testing with covariates. Econometric Theory 20, 56–94.
Jansson, M. 2005. Point optimal tests of the null of hypothesis of cointegration. Journal of Econometrics 124, 187–201.
Jansson, M. and Moreira, M. 2006. Optimal inference in regression models with integrated regressors. Econometrica 74, 681–714.
Johansen, S. 1988. Statistical analysis of cointegrating vectors. Journal of Economic Dynamics and Control 12, 231–54.
Johansen, S. 1994. The role of the constant and linear terms in cointegration analysis of non-stationary variables. Econometric Reviews 13, 205–29.
Johansen, S. 1995. A statistical analysis of cointegration for I(2) variables. Econometric Theory 11, 25–59.
Kwiatkowski, D., Phillips, P.C.B., Schmidt, P. and Shin, Y. 1992. Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics 54, 159–78.
Müller, U.K. 2005. Size and power of tests for stationarity in highly autocorrelated time series. Journal of Econometrics 128, 195–213.
Nyblom, J. 1989. Testing for the constancy of parameters over time. Journal of the American Statistical Association 84, 223–30.
Park, J.Y. 1992. Canonical cointergrating regressions. Econometrica 60, 119–43.
Phillips, P.C.B. 1991. Optimal inference in cointegrated systems. Econometrica 59, 283–306.
Phillips, P.C.B. and Hansen, B.E. 1990. Statistical inference on instrumental variables regression with I(1) processes. Review of Economic Studies 57, 99–124.
Phillips, P.C.B. and Ouliaris, S. 1990. Asymptotic properties of residual based test for cointegration. Econometrica 58, 165–93.
Robinson, P.M. and Hualde, J. 2003. Cointegration in fractional systems of unknown orders. Econometrica 71, 1727–66.
Saikkonen, P. 1991. Asymptotically efficient estimation of cointegrating regressions. Econometric Theory 7, 1–21.
Shin, Y. 1994. A residual-based test of the null of cointegration against the alternative of no cointegration. Econometric Theory 10, 91–115.
Stock, J.H. 1987. Asymptotic properties of least squares estimates of cointegrating vectors. Econometrica 55, 1035–56.
Stock, J.H. and Watson, M.W. 1993. A simple estimator of cointegrated vectors in higher-order integrated systems. Econometrica 61, 783–820.
Stock, J.H. and Watson, M.W. 1996. Confidence sets in regression with highly serially correlated regressors. Manuscript, Department of Economics, Princeton University.
Stock, J.H. and Watson, M.W. 2007. Introduction to Econometrics, 2nd edn. Boston: Pearson-Addison Wesley.
Watson, M.W. 1994. Vector autoregression and cointegration, vol. 4. Handbook of Economics, ed. R.F. Engle and D.L. McFadden. Amsterdam: North-Holland.
Wright, J.H. 2000. Confidence sets for cointegrating coefficients based on stationarity tests. Journal of Business and Economic Statistics 18, 211–22.
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Watson, M.W. (2010). Cointegration. In: Durlauf, S.N., Blume, L.E. (eds) Macroeconometrics and Time Series Analysis. The New Palgrave Economics Collection. Palgrave Macmillan, London. https://doi.org/10.1057/9780230280830_6
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DOI: https://doi.org/10.1057/9780230280830_6
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