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Lagrance-multiplier tersts for weak exogeneity: a synthesis

  • H. Peter Boswijk
  • Jean-Pierre Urbain

This paper unifies two seemingly separate approaches to test weak exogeneity in dynamic regression models with Lagrange-mulptiplier statistics. The first class of tests focuses on the orthogonality between innovations and conditioning variables, and thus is related to the Durbin-Wu-Hausman specification test. The second approach has been developed more recently in the context of context of cointegration and error correction models, ad concentrates on the question whether the conditioning variables display error correction behaviour. It is shown that the vital difference between the two approaches stems from the choice of the parmeters of interest. A new test is derived, which encompasses both its predecessors. The test is applied to an error correction model of the demand for money in Switzerland.

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Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 16 (1997)
Issue (Month): 1 ()
Pages: 21-38

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Handle: RePEc:taf:emetrv:v:16:y:1997:i:1:p:21-38
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  1. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
  2. Engle, Robert F., 1982. "A general approach to lagrange multiplier model diagnostics," Journal of Econometrics, Elsevier, vol. 20(1), pages 83-104, October.
  3. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  4. Park, Joon Y. & Phillips, Peter C.B., 1989. "Statistical Inference in Regressions with Integrated Processes: Part 2," Econometric Theory, Cambridge University Press, vol. 5(01), pages 95-131, April.
  5. Westphal, Uwe, 1991. "Modeling the demand for narrow money in the United Kingdom and the United States : by David F. Hendry and Neil R. Ericsson," European Economic Review, Elsevier, vol. 35(4), pages 883-886, May.
  6. Richard, J-F, 1980. "Models with Several Regimes and Changes in Exogeneity," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 1-20, January.
  7. Smith, R.J., 1990. "Asymptotically Optimal Tests Using Limited Information And Testing For Exogeneity," Cambridge Working Papers in Economics 9102, Faculty of Economics, University of Cambridge.
  8. Nakamura, Alice & Nakamura, Masao, 1981. "On the Relationships among Several Specification Error Tests Presented by Durbin, Wu, and Hausman," Econometrica, Econometric Society, vol. 49(6), pages 1583-88, November.
  9. Hendry, David F. & Ericsson, Neil R., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States," European Economic Review, Elsevier, vol. 35(4), pages 833-881, May.
  10. Hendry, David F. & Richard, Jean-Francois, 1982. "On the formulation of empirical models in dynamic econometrics," Journal of Econometrics, Elsevier, vol. 20(1), pages 3-33, October.
  11. Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
  12. David Hendry, 1995. "On the interactions of unit roots and exogeneity," Economics Papers 7., Economics Group, Nuffield College, University of Oxford.
  13. Fischer, Andreas M & Peytrignet, Michel, 1991. "The Lucas Critique in Light of Swiss Monetary Policy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(4), pages 481-93, November.
  14. Hendry, David F & Doornik, Jurgen A, 1994. "Modelling Linear Dynamic Econometric Systems," Scottish Journal of Political Economy, Scottish Economic Society, vol. 41(1), pages 1-33, February.
  15. Flemming, J. S., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States : by David F. Hendry and Neil R. Ericsson," European Economic Review, Elsevier, vol. 35(4), pages 882-883, May.
  16. Urbain, J-P., 1991. "On Weak Exogeneity in Error Correction Models," Papers 9103, Liege - Centre de Recherches Economiques et Demographiques.
  17. Boswijk, H. Peter, 1995. "Efficient inference on cointegration parameters in structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 133-158, September.
  18. van Giersbergen, Noud P A, 1996. "Bootstrapping the Trace Statistic in VAR Models: Monte Carlo Results and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(2), pages 391-408, May.
  19. Dolado, Juan J., 1992. "A note on weak exogeneity in VAR cointegrated models," Economics Letters, Elsevier, vol. 38(2), pages 139-143, February.
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