Model Selection Criteria for the Leads-and-Lags Cointegrating Regression
In this paper, Mallows'(1973) Cp criterion, Akaike's (1973) AIC, Hurvich and Tsai's (1989) corrected AIC and the BIC of Akaike (1978) and Schwarz (1978) are derived for the leads-and-lags cointegrating regression. Deriving model selection criteria for the leads-and-lags regression is a nontrivial task since the true model is of infinite dimension. This paper justifies using the conventional formulas of those model selection criteria for the leads-and-lags cointegrating regression. The numbers of leads and lags can be selected in scientific ways using the model selection criteria. Simulation results regarding the bias and mean squared error of the long-run coefficient estimates are reported. It is found that the model selection criteria are successful in reducing bias and mean squared error relative to the conventional, fixed selection rules. Among the model selection criteria, the BIC appears to be most successful in reducing MSE, and Cp in reducing bias. We also observe that, in most cases, the selection rules without the restriction that the numbers of the leads and lags be the same have an advantage over those with it.
|Date of creation:||Dec 2008|
|Date of revision:|
|Note:||First Draft: April, 2008; Revised: August, 2008|
|Contact details of provider:|| Postal: 2-1 Naka, Kunitachi City, Tokyo 186-8601|
Web page: http://www.econ.hit-u.ac.jp/~cces/
More information through EDIRC
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.:
- Hussein, Khaled A., 1998. "International capital mobility in OECD countries: The Feldstein-Horioka 'puzzle' revisited," Economics Letters, Elsevier, vol. 59(2), pages 237-242, May.
- Bentzen, Jan, 2004. "Estimating the rebound effect in US manufacturing energy consumption," Energy Economics, Elsevier, vol. 26(1), pages 123-134, January.
- Peter C.B. Phillips & Steven N. Durlauf, 1985.
"Multiple Time Series Regression with Integrated Processes,"
Cowles Foundation Discussion Papers
768, Cowles Foundation for Research in Economics, Yale University.
- P. C. B. Phillips & S. N. Durlauf, 1986. "Multiple Time Series Regression with Integrated Processes," Review of Economic Studies, Oxford University Press, vol. 53(4), pages 473-495.
- Jyh-lin, Wu & Fountas, Stilianos & Show-lin, Chen, 1996.
"Testing for the sustainability of the current account deficit in two industrial countries,"
Elsevier, vol. 52(2), pages 193-198, August.
- Jyh-lin Wu & Stilianos Fountas & Show-lin Chen, 1996. "Testing for the Sustainability of the Current Account Deficit in Two Industrial Countries," Working Papers 11, National University of Ireland Galway, Department of Economics, revised 1996.
- Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March.
- James H. Stock & Mark W. Watson, 1991.
"A simple estimator of cointegrating vectors in higher order integrated systems,"
Working Paper Series, Macroeconomic Issues
91-3, Federal Reserve Bank of Chicago.
- Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
- Peter C.B. Phillips & Mico Loretan, 1989.
"Estimating Long Run Economic Equilibria,"
Cowles Foundation Discussion Papers
928, Cowles Foundation for Research in Economics, Yale University.
- Lewis, Richard & Reinsel, Gregory C., 1985. "Prediction of multivariate time series by autoregressive model fitting," Journal of Multivariate Analysis, Elsevier, vol. 16(3), pages 393-411, June.
- In Choi & Pentti Saikkonen, 2004. "Testing linearity in cointegrating smooth transition regressions," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 341-365, December.
- Ekaterini Panopoulou & Nikitas Pittis, 2004. "A comparison of autoregressive distributed lag and dynamic OLS cointegration estimators in the case of a serially correlated cointegration error," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 585-617, December.
- Ball, Laurence, 2001.
"Another look at long-run money demand,"
Journal of Monetary Economics,
Elsevier, vol. 47(1), pages 31-44, February.
- Saikkonen, Pentti & Choi, In, 2004. "Cointegrating Smooth Transition Regressions," Econometric Theory, Cambridge University Press, vol. 20(02), pages 301-340, April.
- Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-43, January.
- Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 99-125.
- Phillips, Peter C B & Ploberger, Werner, 1996. "An Asymptotic Theory of Bayesian Inference for Time Series," Econometrica, Econometric Society, vol. 64(2), pages 381-412, March.
- Phillips, Peter C.B. & Ploberger, Werner, 1994.
"Posterior Odds Testing for a Unit Root with Data-Based Model Selection,"
Cambridge University Press, vol. 10(3-4), pages 774-808, August.
- Peter C.B. Phillips & Werner Ploberger, 1992. "Posterior Odds Testing for a Unit Root with Data-Based Model Selection," Cowles Foundation Discussion Papers 1017, Cowles Foundation for Research in Economics, Yale University.
- Masih, Rumi & Masih, Abul M. M., 1996. "Stock-Watson dynamic OLS (DOLS) and error-correction modelling approaches to estimating long- and short-run elasticities in a demand function: new evidence and methodological implications from an appl," Energy Economics, Elsevier, vol. 18(4), pages 315-334, October.
- Caballero, Ricardo J, 1994. "Small Sample Bias and Adjustment Costs," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 52-58, February.
- Weber, Christian E, 1995. "Cyclical Output, Cyclical Unemployment, and Okun's Coefficient: A New Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 433-45, Oct.-Dec..
- Kejriwal, Mohitosh & Perron, Pierre, 2008. "Data Dependent Rules For Selection Of The Number Of Leads And Lags In The Dynamic Ols Cointegrating Regression," Econometric Theory, Cambridge University Press, vol. 24(05), pages 1425-1441, October.
- Zivot, Eric, 2000. "Cointegration and forward and spot exchange rate regressions," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 785-812, December.
- Hai, Weike & Mark, Nelson C & Wu, Yangru, 1997. "Understanding Spot and Forward Exchange Rate Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 715-34, Nov.-Dec..
When requesting a correction, please mention this item's handle: RePEc:hit:ccesdp:6. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Digital Resources Section, Hitotsubashi University Library)
If references are entirely missing, you can add them using this form.