IDEAS home Printed from https://ideas.repec.org/a/taf/emetrv/v16y1997i1p21-38.html
   My bibliography  Save this article

Lagrance-multiplier tersts for weak exogeneity: a synthesis

Author

Listed:
  • H. Peter Boswijk
  • Jean-Pierre Urbain

Abstract

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.

Suggested Citation

  • H. Peter Boswijk & Jean-Pierre Urbain, 1997. "Lagrance-multiplier tersts for weak exogeneity: a synthesis," Econometric Reviews, Taylor & Francis Journals, vol. 16(1), pages 21-38.
  • Handle: RePEc:taf:emetrv:v:16:y:1997:i:1:p:21-38
    DOI: 10.1080/07474939708800370
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/07474939708800370
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/07474939708800370?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Smith, Richard J., 1994. "Asymptotically Optimal Tests Using Limited Information and Testing for Exogeneity," Econometric Theory, Cambridge University Press, vol. 10(1), pages 53-69, March.
    2. J.-F. Richard, 1980. "Models with Several Regimes and Changes in Exogeneity," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 1-20.
    3. Park, Joon Y. & Phillips, Peter C.B., 1989. "Statistical Inference in Regressions with Integrated Processes: Part 2," Econometric Theory, Cambridge University Press, vol. 5(1), pages 95-131, April.
    4. Engle, Robert F., 1982. "A general approach to lagrange multiplier model diagnostics," Journal of Econometrics, Elsevier, vol. 20(1), pages 83-104, October.
    5. 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.
    6. Urbain, Jean-Pierre, 1992. "On Weak Exogeneity in Error Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(2), pages 187-207, May.
    7. Dolado, Juan J., 1992. "A note on weak exogeneity in VAR cointegrated models," Economics Letters, Elsevier, vol. 38(2), pages 139-143, February.
    8. David Hendry, 1995. "On the interactions of unit roots and exogeneity," Economics Papers 7., Economics Group, Nuffield College, University of Oxford.
    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. 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.
    11. 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.
    12. 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.
    13. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    14. 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 1583-1588, November.
    15. 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.
    16. 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.
    17. 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 481-493, November.
    18. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    19. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Urbain, Jean-Pierre, 1995. "Partial versus full system modelling of cointegrated systems an empirical illustration," Journal of Econometrics, Elsevier, vol. 69(1), pages 177-210, September.
    2. Stéphane Lemarié & Valérie Orozco & Jean-Pierre Butault & Antonio Musolesi & Michel Simioni & Bertrand Schmitt, 2020. "Assessing the long-term impact of agricultural research on productivity: evidence from France," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 47(4), pages 1559-1586.
    3. Pål Boug & Ådne Cappelen & Anders Rygh Swensen, 2006. "The New Keynesian Phillips Curve for a Small Open Economy," Discussion Papers 460, Statistics Norway, Research Department.
    4. Enrique Moral-Benito & Luis Serv鮠, 2015. "Testing weak exogeneity in cointegrated panels," Applied Economics, Taylor & Francis Journals, vol. 47(30), pages 3216-3228, June.
    5. Kul B. Luintel & Yongdeng Xu, 2017. "Testing weak exogeneity in multiplicative error models," Quantitative Finance, Taylor & Francis Journals, vol. 17(10), pages 1617-1630, October.
    6. Pål Boug & Ådne Cappelen & Anders R. Swensen, 2000. "Expectations in Export Price Formation Tests using Cointegrated VAR Models," Discussion Papers 283, Statistics Norway, Research Department.
    7. Manfred Neumann & Uli Fell & Richard Reichel*, 2005. "Successive Oligopolies, Vertical Downstream Integration and Foreclosure," Journal of Industry, Competition and Trade, Springer, vol. 5(1), pages 59-77, January.
    8. Zivot, Eric, 2000. "The Power Of Single Equation Tests For Cointegration When The Cointegrating Vector Is Prespecified," Econometric Theory, Cambridge University Press, vol. 16(3), pages 407-439, June.
    9. Neto, David, 2012. "Testing and estimating time-varying elasticities of Swiss gasoline demand," Energy Economics, Elsevier, vol. 34(6), pages 1755-1762.
    10. Pål Boug, 1999. "The Demand for Labour and the Lucas Critique. Evidence from Norwegian Manufacturing," Discussion Papers 256, Statistics Norway, Research Department.
    11. Pål Boug & Ådne Cappelen & Torbjørn Eika, 2013. "The importance of the distribution sector for exchange rate pass-through in a small open economy. A large scale macroeconometric modelling approach," Discussion Papers 731, Statistics Norway, Research Department.
    12. Pål Boug & Ådne Cappelen & Torbjørn Eika, 2005. "Exchange Rate Pass-through in a Small Open Economy," Discussion Papers 429, Statistics Norway, Research Department.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ericsson, Neil R & Hendry, David F & Mizon, Grayham E, 1998. "Exogeneity, Cointegration, and Economic Policy Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 370-387, October.
    2. Julia Campos & Neil R. Ericsson & David F. Hendry, 2005. "General-to-specific modeling: an overview and selected bibliography," International Finance Discussion Papers 838, Board of Governors of the Federal Reserve System (U.S.).
    3. Rault, Christophe, 2005. "Further Results on Weak Exogeneity in Vector Error Correction Models," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 25(2), November.
    4. Ericsson, Neil R., 1992. "Cointegration, exogeneity, and policy analysis: An overview," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 251-280, June.
    5. Jacqueline Pradel & Christophe Rault, 2003. "Exogeneity in Vector Error Correction Models with Purely Exogenous Long‐Run Paths," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(5), pages 629-653, December.
    6. Ericsson, Neil R., 1995. "Conditional and structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 159-171, September.
    7. Neil R. Ericsson & John S. Irons, 1995. "The Lucas critique in practice: theory without measurement," International Finance Discussion Papers 506, Board of Governors of the Federal Reserve System (U.S.).
    8. David Hendry, 1995. "On the interactions of unit roots and exogeneity," Economics Papers 7., Economics Group, Nuffield College, University of Oxford.
    9. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, June.
    10. Doko Tchatoka, Firmin & Dufour, Jean-Marie, 2020. "Exogeneity tests, incomplete models, weak identification and non-Gaussian distributions: Invariance and finite-sample distributional theory," Journal of Econometrics, Elsevier, vol. 218(2), pages 390-418.
    11. Urbain, Jean-Pierre, 1995. "Partial versus full system modelling of cointegrated systems an empirical illustration," Journal of Econometrics, Elsevier, vol. 69(1), pages 177-210, September.
    12. Enrique Moral-Benito & Luis Serv鮠, 2015. "Testing weak exogeneity in cointegrated panels," Applied Economics, Taylor & Francis Journals, vol. 47(30), pages 3216-3228, June.
    13. Herwartz, Helmut & Neumann, Michael H., 2005. "Bootstrap inference in systems of single equation error correction models," Journal of Econometrics, Elsevier, vol. 128(1), pages 165-193, September.
    14. John Geweke & Joel Horowitz & M. Hashem Pesaran, 2006. "Econometrics: A Bird’s Eye View," CESifo Working Paper Series 1870, CESifo.
    15. Bardsen, Gunnar & Eitrheim, Oyvind & Jansen, Eilev S. & Nymoen, Ragnar, 2005. "The Econometrics of Macroeconomic Modelling," OUP Catalogue, Oxford University Press, number 9780199246502.
    16. Kiviet, Jan F., 1985. "Model selection test procedures in a single linear equation of a dynamic simultaneous system and their defects in small samples," Journal of Econometrics, Elsevier, vol. 28(3), pages 327-362, June.
    17. Sunil Sharma & Neil R. Ericsson, 1998. "Broad money demand and financial liberalization in Greece," Empirical Economics, Springer, vol. 23(3), pages 417-436.
    18. Pål Boug, 1999. "The Demand for Labour and the Lucas Critique. Evidence from Norwegian Manufacturing," Discussion Papers 256, Statistics Norway, Research Department.
    19. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    20. Neil R. Ericsson & Steven B. Kamin, 2008. "Constructive data mining: modeling Argentine broad money demand," International Finance Discussion Papers 943, Board of Governors of the Federal Reserve System (U.S.).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:emetrv:v:16:y:1997:i:1:p:21-38. 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: . General contact details of provider: http://www.tandfonline.com/LECR20 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (email available below). General contact details of provider: http://www.tandfonline.com/LECR20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.