A Practitioner's Guide to Robust Covariance Matrix Estimation
This paper develops asymptotic distribution theory for generalized method of moments (GMM) estimators and test statistics when some of the parameters are well identified, but others are poorly identified because of weak instruments. The asymptotic theory entails applying empirical process theory to obtain a limiting representation of the (concentrated) objective function as a stochastic process. The general results are specialized to two leading cases, linear instrumental variables regression and GMM estimation of Euler equations obtained from the consumption-based capital asset pricing model with power utility. Numerical results of the latter model confirm that finite sample distributions can deviate substantially from normality, and indicate that these deviations are captured by the weak instruments asymptotic approximations.
|Date of creation:||Jun 1996|
|Date of revision:|
|Publication status:||published as Handbook of Statistics 15. edited by G.S. Maddala and C.R. Rao, 1997|
|Contact details of provider:|| Postal: |
Web page: http://www.nber.org
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.:
- Donald W.K. Andrews & Christopher J. Monahan, 1990.
"An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator,"
Cowles Foundation Discussion Papers
942, Cowles Foundation for Research in Economics, Yale University.
- Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July.
- Wouter J. Den Haan & Andrew Levin, 1996.
"Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures,"
NBER Technical Working Papers
0195, National Bureau of Economic Research, Inc.
- Wouter J. den Haan & Andrew T. Levin, 1995. "Inferences from parametric and non-parametric covariance matrix estimation procedures," International Finance Discussion Papers 504, Board of Governors of the Federal Reserve System (U.S.).
- Andrews, Donald W K, 1991.
"Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation,"
Econometric Society, vol. 59(3), pages 817-58, May.
- Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
- Craig Burnside & Martin Eichenbaum, 1994.
"Small sample properties of generalized method of moments based Wald tests,"
Working Paper Series, Macroeconomic Issues
94-12, Federal Reserve Bank of Chicago.
- Craig Burnside & Martin Eichenbaum, 1994. "Small Sample Properties of Generalized Method of Moments Based Wald Tests," NBER Technical Working Papers 0155, National Bureau of Economic Research, Inc.
- Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1986.
"A Time Series Analysis of Representative Agent Models of Consumption andLeisure Choice Under Uncertainty,"
NBER Working Papers
1981, National Bureau of Economic Research, Inc.
- Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 51-78, February.
- Hansen, Bruce E, 1992. "Consistent Covariance Matrix Estimation for Dependent Heterogeneous Processes," Econometrica, Econometric Society, vol. 60(4), pages 967-72, July.
When requesting a correction, please mention this item's handle: RePEc:nbr:nberte:0197. 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: ()
If references are entirely missing, you can add them using this form.