The GMM parameter normalization puzzle
AbstractA feature of GMM estimation--the use of a consistent estimate of the optimal weighting matrix rather than the joint estimation of the model parameters and the weighting matrix--can lead to the sensitivity of GMM estimation to the choice of parameter normalization. In many applications, including Euler equation estimation, a model parameter multiplies the equation error in some, but not all, normalizations. But, conventional GMM estimators that either hold the estimate of the weighting matrix fixed or allow some limited iteration on the weighting matrix fail to account for the dependence of the weighting matrix on the parameter vector implied by the multiplication of the error by the parameter. In finite samples, GMM effectively minimizes the square of the parameter times the objective function that obtains from an alternative normalization where no parameter multiplies the equation error, resulting in estimates that are smaller (in absolute value) than those from the alternative normalization. Of course, normalization is irrelevant asymptotically.
Download InfoIf 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.
Bibliographic InfoPaper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 1997-43.
Date of creation: 1997
Date of revision:
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.:
- Matthew D. Shapiro, 1984.
"The Dynamic Demand for Capital and Labor,"
Cowles Foundation Discussion Papers
735, Cowles Foundation for Research in Economics, Yale University.
- Bartelsman, Eric J., 1995. "Of empty boxes: Returns to scale revisited," Economics Letters, Elsevier, vol. 49(1), pages 59-67, July.
- Oliner, Stephen D. & Rudebusch, Glenn D. & Sichel, Daniel, 1996. "The Lucas critique revisited assessing the stability of empirical Euler equations for investment," Journal of Econometrics, Elsevier, vol. 70(1), pages 291-316, January.
- West, Kenneth D, 1986.
"A Variance Bounds Test of the Linear Quadratic Inventory Model,"
Journal of Political Economy,
University of Chicago Press, vol. 94(2), pages 374-401, April.
- Kenneth D. West, 1985. "A Variance Bounds Test of the Linear Quardractic Inventory Model," NBER Working Papers 1581, National Bureau of Economic Research, Inc.
- Krane, Spencer D & Braun, Stephen N, 1991.
"Production Smoothing Evidence from Physical-Product Data,"
Journal of Political Economy,
University of Chicago Press, vol. 99(3), pages 558-81, June.
- Spencer Krane & Steven Braun, 1990. "Production smoothing evidence from physical-product data," Working Paper Series / Economic Activity Section 103, Board of Governors of the Federal Reserve System (U.S.).
- Robert E. Hall, 1988.
"The Relation Between Price and Marginal Cost in U.S. Industry,"
NBER Working Papers
1785, National Bureau of Economic Research, Inc.
- Hall, Robert E, 1988. "The Relation between Price and Marginal Cost in U.S. Industry," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 921-47, October.
- Argia M. Sbordone, 1993.
"Cyclical productivity in a model of labor hoarding,"
Working Paper Series, Macroeconomic Issues
93-20, Federal Reserve Bank of Chicago.
- Sbordone, Argia M., 1996. "Cyclical productivity in a model of labor hoarding," Journal of Monetary Economics, Elsevier, vol. 38(2), pages 331-361, October.
- Bils, Mark, 1987. "The Cyclical Behavior of Marginal Cost and Price," American Economic Review, American Economic Association, vol. 77(5), pages 838-55, December.
- Burgess, Simon M & Dolado, Juan J, 1989. "Intertemporal Rules with Variable Speed of Adjustment: An Application to U.K. Manufacturing Employment," Economic Journal, Royal Economic Society, vol. 99(396), pages 347-65, June.
- Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
- Kennan, John, 1988. "An Econometric Analysis of Fluctuations in Aggregate Labor Supply and Demand," Econometrica, Econometric Society, vol. 56(2), pages 317-33, March.
- Ramey, Valerie A. & West, Kenneth D., 1999.
Handbook of Macroeconomics,
in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 13, pages 863-923
- Pfann, Gerard A., 1996. "Factor demand models with nonlinear short-run fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 315-331.
- Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-80, July.
- Roberts, John M & Stockton, David J & Struckmeyer, Charles S, 1994. "Evidence on the Flexibility of Prices," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 142-50, February.
- Susanto Basu & Miles S. Kimball, 1997. "Cyclical Productivity with Unobserved Input Variation," NBER Working Papers 5915, National Bureau of Economic Research, Inc.
- Jeffrey Fuhrer & George Moore & Scott Schuh, 1993.
"Estimating the linear-quadratic inventory model: maximum likelihood versus generalized method of moments,"
Finance and Economics Discussion Series
93-11, Board of Governors of the Federal Reserve System (U.S.).
- Fuhrer, Jeffrey C. & Moore, George R. & Schuh, Scott D., 1995. "Estimating the linear-quadratic inventory model Maximum likelihood versus generalized method of moments," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 115-157, February.
- Joshua Hojvat Gallin, 1999. "Net migration and state labor market dynamics," Finance and Economics Discussion Series 1999-16, Board of Governors of the Federal Reserve System (U.S.).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Kris Vajs).
If references are entirely missing, you can add them using this form.