IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Testing for Weak Identification in Possibly Nonlinear Models

  • Barbara Rossi
  • Atsushi Inoue

In this paper we propose a chi-square test for identification. Our proposed test statistic is based on the distance between two shrinkage extremum estimators. The two estimators converge in probability to the same limit when identification is strong, and their asymptotic distributions are different when identification is weak. The proposed test is consistent not only for the alternative hypothesis of no identification but also for the alternative of weak identification, which is confirmed by our Monte Carlo results. We apply the proposed technique to test whether the structural parameters of a representative Taylor-rule monetary policy reaction function are identified.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://ssrn.com/abstract=1747169
File Function: main text
Download Restriction: no

Paper provided by Duke University, Department of Economics in its series Working Papers with number 10-92.

as
in new window

Length: 49
Date of creation: 2010
Date of revision:
Handle: RePEc:duk:dukeec:10-92
Contact details of provider: Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
Fax: (919) 684-8974
Web page: http://econ.duke.edu/

References listed on IDEAS
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.:

as in new window
  1. Hausman, Jerry A, 1978. "Specification Tests in Econometrics," Econometrica, Econometric Society, vol. 46(6), pages 1251-71, November.
  2. Hugo Faria & Hugo Montesinos, 2009. "Does economic freedom cause prosperity? An IV approach," Public Choice, Springer, vol. 141(1), pages 103-127, October.
  3. Canova, Fabio & Sala, Luca, 2006. "Back to square one: identification issues in DSGE models," Working Paper Series 0583, European Central Bank.
  4. Ludger Wößmann & Martin R. West, 2002. "Class-Size Effects in School Systems Around the World: Evidence from Between-Grade Variation in TIMSS," Kiel Working Papers 1099, Kiel Institute for the World Economy.
  5. Park, Cheolsung & Kang, Changhui, 2008. "Does education induce healthy lifestyle?," Journal of Health Economics, Elsevier, vol. 27(6), pages 1516-1531, December.
  6. DeJuan, Joseph P. & Seater, John J., 2007. "Testing the cross-section implications of Friedman's permanent income hypothesis," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 820-849, April.
  7. Jean-Marie Dufour & Lynda Khalaf & Maral Kichian, 2005. "Inflation Dynamics and the New Keynesian Phillips Curve: An Identification-Robust Econometric Analysis," Working Papers 05-27, Bank of Canada.
  8. Adam Hale Shapiro, 2006. "Estimating the New Keynesian Phillips curve: a vertical production chain approach," Working Papers 06-11, Federal Reserve Bank of Boston.
  9. An, Sungbae & Schorfheide, Frank, 2005. "Bayesian Analysis of DSGE Models," CEPR Discussion Papers 5207, C.E.P.R. Discussion Papers.
  10. Michael U. Krause & Thomas A. Lubik & David López-Salido, 2008. "Inflation dynamics with search frictions : a structural econometric analysis," Working Paper 08-01, Federal Reserve Bank of Richmond.
  11. Guggenberger, Patrik & Smith, Richard J., 2005. "Generalized Empirical Likelihood Estimators And Tests Under Partial, Weak, And Strong Identification," Econometric Theory, Cambridge University Press, vol. 21(04), pages 667-709, August.
  12. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
  13. Glenn D. Rudebusch & Jeffrey C. Fuhrer, 2002. "Estimating the Euler equation for output," Working Paper Series 2002-12, Federal Reserve Bank of San Francisco.
  14. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 423-25, October.
  15. Anderson, T. W. & Kunitomo, Naoto, 1994. "Asymptotic robustness of tests of overidentification and predeterminedness," Journal of Econometrics, Elsevier, vol. 62(2), pages 383-414, June.
  16. K. Newey, Whitney, 1985. "Generalized method of moments specification testing," Journal of Econometrics, Elsevier, vol. 29(3), pages 229-256, September.
  17. James M. Nason & Gregor W. Smith, 2005. "Identifying the New Keynesian Phillips Curve," Working Papers 1026, Queen's University, Department of Economics.
  18. Wright, Jonathan H., 2003. "Detecting Lack Of Identification In Gmm," Econometric Theory, Cambridge University Press, vol. 19(02), pages 322-330, April.
  19. Kleibergen, Frank & Paap, Richard, 2006. "Generalized reduced rank tests using the singular value decomposition," Journal of Econometrics, Elsevier, vol. 133(1), pages 97-126, July.
  20. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 397-416, October.
  21. RUGE-MURCIA, Francisco J., 2003. "Methods to Estimate Dynamic Stochastic General Equilibrium Models," Cahiers de recherche 17-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  22. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," CEPR Discussion Papers 1908, C.E.P.R. Discussion Papers.
  23. Sophocles Mavroeidis, 2010. "Monetary Policy Rules and Macroeconomic Stability: Some New Evidence," American Economic Review, American Economic Association, vol. 100(1), pages 491-503, March.
  24. Francisco Alcalá & Antonio Ciccone, 2001. "Trade and productivity," Economics Working Papers 580, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2002.
  25. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October.
  26. Christopher W. Crowe, 2006. "Testing the Transparency Benefits of Inflation Targeting; Evidence From Private Sector Forecasts," IMF Working Papers 06/289, International Monetary Fund.
  27. Jinyong Hahn & Jerry Hausman, 2002. "A New Specification Test for the Validity of Instrumental Variables," Econometrica, Econometric Society, vol. 70(1), pages 163-189, January.
  28. Robin, J.M. & Smith, R.J., 1995. "Tests of Rank," Cambridge Working Papers in Economics 9521, Faculty of Economics, University of Cambridge.
  29. Motohiro Yogo, 2004. "Estimating the Elasticity of Intertemporal Substitution When Instruments Are Weak," The Review of Economics and Statistics, MIT Press, vol. 86(3), pages 797-810, August.
  30. Nelson, C. & Startz, R., 1988. "The Distribution Of The Instrumental Variables Estimator And Its T-Ratio When The Instrument Is A Poor One," Discussion Papers in Economics at the University of Washington 88-07, Department of Economics at the University of Washington.
  31. John Temple & Ludger Woessmann, 2004. "Dualism and cross-country growth regressions," Bristol Economics Discussion Papers 04/560, Department of Economics, University of Bristol, UK.
  32. repec:cup:cbooks:9780521496032 is not listed on IDEAS
  33. Daron Acemoglu & Simon Johnson, 2007. "Disease and Development: The Effect of Life Expectancy on Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 115(6), pages 925-985, December.
  34. Hahn, Jinyong & Ham, John C. & Moon, Hyungsik Roger, 2011. "The Hausman test and weak instruments," Journal of Econometrics, Elsevier, vol. 160(2), pages 289-299, February.
  35. Charles R. Nelson & Richard Startz, 1988. "Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator," NBER Technical Working Papers 0068, National Bureau of Economic Research, Inc.
  36. Caner, Mehmet, 2009. "Lasso-Type Gmm Estimator," Econometric Theory, Cambridge University Press, vol. 25(01), pages 270-290, February.
  37. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc.
  38. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models—Rejoinder," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 211-219.
  39. Consolo, Agostino & Favero, Carlo A., 2009. "Monetary Policy Inertia: More a Fiction than a fact?," CEPR Discussion Papers 7341, C.E.P.R. Discussion Papers.
  40. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
  41. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
  42. Anderson, T. W. & Kunitomo, Naoto, 1992. "Tests of overidentification and predeterminedness in simultaneous equation models," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 49-78.
  43. Wu, De-Min, 1973. "Alternative Tests of Independence Between Stochastic Regressors and Disturbances," Econometrica, Econometric Society, vol. 41(4), pages 733-50, July.
  44. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  45. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March.
  46. Cragg, John G. & Donald, Stephen G., 1993. "Testing Identifiability and Specification in Instrumental Variable Models," Econometric Theory, Cambridge University Press, vol. 9(02), pages 222-240, April.
  47. Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-29, October.
  48. Joseph J. Doyle Jr., 2007. "Child Protection and Child Outcomes: Measuring the Effects of Foster Care," American Economic Review, American Economic Association, vol. 97(5), pages 1583-1610, December.
  49. Jonathan H. Wright, 2002. "Testing the null of identification in GMM," International Finance Discussion Papers 732, Board of Governors of the Federal Reserve System (U.S.).
  50. Yacine Ait-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2002. "Luxury Goods and the Equity Premium," Working Papers 145, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
  51. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  52. Cragg, John G. & Donald, Stephen G., 1997. "Inferring the rank of a matrix," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 223-250.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:duk:dukeec:10-92. 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: (Department of Economics Webmaster)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.