Consistent Inference in Models Defined by COnditional Moment Restrictions: an Alternative to GMM
This article introduces a unified methodology for estimating and testing nonlinear econometric models defined by conditional moment restrictions. These models are very common in econometrics, such as nonlinear rational expectation models. The current approach for inference in these models is the generalized method of moments (GMM) methodology, as proposed by Hansen and Singleton (1982). Although GMM provides a unified methodology for statistical inference that is simple to implement, it may yield inconsistent statistical procedures because it just employs a finite number of moments. This is a very important theoretical and applied problem, as illustrated by a simplified consumption-based asset pricing model. Contrary to GMM, the methodology proposed in this article delivers consistent statistical procedures because it employs an infinite number of moments that characterizes the conditional moment. In addition, the proposed methodology is widely applicable for general time series data and easy to implement. In particular, the proposed specification test relies on a novel and very simple wild bootstrap procedure.
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- Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, vol. 6(01), pages 17-43, March.
- Pascal Lavergne & Valentin Patilea, 2008. "Smooth Minimum Distance Estimation and Testing in Conditional Moment Restrictions Models: Uniform in Bandwidth Theory," Discussion Papers dp08-08, Department of Economics, Simon Fraser University.
- 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.
- Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
- Juan Carlos Escanciano, 2005.
"Goodness-of-fit Tests for Linear and Non-linear Time Series Models,"
Faculty Working Papers
02/05, School of Economics and Business Administration, University of Navarra.
- Escanciano, J. Carlos, 2006. "Goodness-of-Fit Tests for Linear and Nonlinear Time Series Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 531-541, June.
- Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
- G. Constantinides, 1990.
"Habit formation: a resolution of the equity premium puzzle,"
Levine's Working Paper Archive
1397, David K. Levine.
- Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
- Stinchcombe, Maxwell B. & White, Halbert, 1998. "Consistent Specification Testing With Nuisance Parameters Present Only Under The Alternative," Econometric Theory, Cambridge University Press, vol. 14(03), pages 295-325, June.
- Mehra, Rajnish & Prescott, Edward C., 1985.
"The equity premium: A puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 15(2), pages 145-161, March.
- James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
- James G. MacKinnon, 2006.
"Bootstrap Methods in Econometrics,"
1028, Queen's University, Department of Economics.
- Allan W. Gregory & Jean-Francois Lamarche & Gregor W. Smith, 2001.
"Information-Theoretic Estimation of Preference Parameters: Macroeconomic Applications and Simulation Evidence,"
1249, Queen's University, Department of Economics.
- Gregory, Allan W. & Lamarche, Jean-Francois & Smith, Gregor W., 2002. "Information-theoretic estimation of preference parameters: macroeconomic applications and simulation evidence," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 213-233, March.
- Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
- Horowitz, J.L., 1992. "Testing a Parametric Model Against a Semiparametric Alternative," Papers 9219, Tilburg - Center for Economic Research.
- Youngki Shin, 2008. "Semiparametric estimation of the Box--Cox transformation model," Econometrics Journal, Royal Economic Society, vol. 11(3), pages 517-537, November.
- Carrasco, Marine & Florens, Jean-Pierre, 2000. "Generalization Of Gmm To A Continuum Of Moment Conditions," Econometric Theory, Cambridge University Press, vol. 16(06), pages 797-834, December.
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