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The GMM parameter normalization puzzle


  • Charles A. Fleischman


A 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.

Suggested Citation

  • Charles A. Fleischman, 1997. "The GMM parameter normalization puzzle," Finance and Economics Discussion Series 1997-43, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:1997-43

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    References listed on IDEAS

    1. Matthew D. Shapiro, 1986. "The Dynamic Demand for Capital and Labor," The Quarterly Journal of Economics, Oxford University Press, vol. 101(3), pages 513-542.
    2. Ramey, Valerie A. & West, Kenneth D., 1999. "Inventories," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 13, pages 863-923 Elsevier.
    3. Bils, Mark, 1987. "The Cyclical Behavior of Marginal Cost and Price," American Economic Review, American Economic Association, vol. 77(5), pages 838-855, December.
    4. 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.
    5. Bartelsman, Eric J., 1995. "Of empty boxes: Returns to scale revisited," Economics Letters, Elsevier, vol. 49(1), pages 59-67, July.
    6. 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 347-365, June.
    7. 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.
    8. 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.
    9. 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.
    10. Sbordone, Argia M., 1996. "Cyclical productivity in a model of labor hoarding," Journal of Monetary Economics, Elsevier, vol. 38(2), pages 331-361, October.
    11. 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 262-280, July.
    12. 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 921-947, October.
    13. 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 558-581, June.
    14. Kennan, John, 1988. "An Econometric Analysis of Fluctuations in Aggregate Labor Supply and Demand," Econometrica, Econometric Society, vol. 56(2), pages 317-333, March.
    15. Susanto Basu & Miles S. Kimball, 1997. "Cyclical Productivity with Unobserved Input Variation," NBER Working Papers 5915, National Bureau of Economic Research, Inc.
    16. 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 142-150, February.
    17. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
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    Cited by:

    1. Joshua H. 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.).

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