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A comparison of autoregressive distributed lag and dynamic OLS cointegration estimators in the case of a serially correlated cointegration error

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  • Ekaterini Panopoulou
  • Nikitas Pittis

Abstract

This paper deals with a family of parametric, single-equation cointegration estimators that arise in the context of the autoregressive distributed lag (ADL) models. We particularly focus on a subclass of the ADL models, those that do not involve lagged values of the dependent variable, referred to as augmented static (AS) models. The general ADL and the restricted AS models give rise to the ADL and dynamic OLS (DOLS) estimators, respectively. The relative performance of these estimators is assessed by means of Monte Carlo simulations in the context of a triangular data generation process (DGP) where the cointegration error and the error that drives the regressor follow a VAR(1) process. The results suggest that ADL fares consistently better than DOLS, both in terms of estimation precision and reliability of statistical inferences. This is due to the fact that DOLS, as opposed to ADL, does not fully correct for the second-order asymptotic bias effects of cointegration, since a "truncation bias" always remains. As a result, the performance of DOLS approaches that of ADL, as the number of lagged values of the first difference of the regressor in the AS model increases. Another set of Monte Carlo simulations suggests that the commonly used information criteria select the correct order of the ADL model quite frequently, thus making the employment of ADL over DOLS quite appealing and feasible. Additional results suggest that ADL re-emerges as the optimal estimator within a wider class of asymptotically efficient estimators including, apart from DOLS, the semiparametric fully modified least squares (FMLS) estimator of Phillips and Hansen (1990, Review of Economic Studies 57, 99--125), the non-linear parametric estimator (PL) of Phillips and Loretan (1991, Review of Economic Studies 58, 407--36) and the system-based maximum likelihood estimator (JOH) of Johansen (1991, Econometrica 59, 1551--80). All the aforementioned results are robust to alternative models for the error term, such as vector autoregressions of higher order, or vector moving average processes. Copyright Royal Economic Socciety 2004

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Bibliographic Info

Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 7 (2004)
Issue (Month): 2 (December)
Pages: 585-617

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Handle: RePEc:ect:emjrnl:v:7:y:2004:i:2:p:585-617

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Cited by:
  1. Marcel Aloy & Gilles de Truchis, 2012. "Estimation and Testing for Fractional Cointegration," AMSE Working Papers 1215, Aix-Marseille School of Economics, Marseille, France.
  2. Tang, Chor Foon, 2010. "Revisiting the health-income nexus in Malaysia: ARDL cointegration and Rao's F-test for causality," MPRA Paper 27287, University Library of Munich, Germany.
  3. Katsimi, Margarita & Moutos, Thomas, 2011. "Inequality and the US import demand function," Journal of International Money and Finance, Elsevier, vol. 30(3), pages 492-506, April.
  4. Vahagn Galstyan and Philip R. Lane, 2008. "Fiscal Policy and International Competitiveness: Evidence from Ireland," The Institute for International Integration Studies Discussion Paper Series iiisdp274, IIIS.
  5. Bahmani-Oskooee, Mohsen & Hegerty, Scott W., 2009. "The Japanese-U.S. trade balance and the yen: Evidence from industry data," Japan and the World Economy, Elsevier, vol. 21(2), pages 161-171, March.
  6. In Choi & Eiji Kurozumi, 2008. "Model Selection Criteria for the Leads-and-Lags Cointegrating Regression," Global COE Hi-Stat Discussion Paper Series gd08-006, Institute of Economic Research, Hitotsubashi University.
  7. Bagdatoglou, George & Kontonikas, Alexandros, 2009. "A New Test of the Real Interest Rate Parity Hypothesis: Bounds Approach and Structural Breaks," SIRE Discussion Papers 2009-23, Scottish Institute for Research in Economics (SIRE).
  8. Bahmani-Oskooee, Mohsen & Harvey, Hanafiah, 2011. "Exchange-rate volatility and industry trade between the U.S. and Malaysia," Research in International Business and Finance, Elsevier, vol. 25(2), pages 127-155, June.
  9. Ekaterini Panopoulou, 2005. "A Resolution of the Fisher Effect Puzzle: A Comparison of Estimators," The Institute for International Integration Studies Discussion Paper Series iiisdp067, IIIS.
  10. Roel Beetsma & Massimo Giuliodori & Franc Klaassen, 2005. "Trade Spillovers of Fiscal Policy in the European Union: A Panel Analysis," EUI-RSCAS Working Papers 31, European University Institute (EUI), Robert Schuman Centre of Advanced Studies (RSCAS).
  11. Bahmani-Oskooee, Mohsen & Hegerty, Scott W., 2008. "Exchange-rate risk and U.S.-Japan trade: Evidence from industry level data," Journal of the Japanese and International Economies, Elsevier, vol. 22(4), pages 518-534, December.
  12. Bahmani-Oskooee, Mohsen & Bolhassani, Marzieh & Hegerty, Scott W., 2011. "Industry trade between Canada and Mexico: Will a weakening peso help Mexican manufacturing in the long run?," The North American Journal of Economics and Finance, Elsevier, vol. 22(2), pages 89-101, August.

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