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Full Versus Limited Information Estimation of a Rational Expectations Model: Some Numerical Comparisons

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  • Kenneth D. West

Abstract

This paper compares numerically the asymptotic distributions of parameter estimates and test statistics associated with two estimation techniques: (a)a limited information one, which uses instrumental variables to estimate a single equation (Hansen and Singleton (1982)), and (b)a full information one, which uses a procedure asymptotically equivalent to maximum likelihood to simultaneously estimate multiple equations (Hansen and Sargent (1980)). The paper compares the two with respect to both (1)asymptotic efficiency under the null hypothesis of no misspecification, and (2)asymptotic bias and power in the presence of certain local alternatives. It is found that: (l)Full information standard errors are only moderately smaller than limited information standard errors. (2)When the model is misspecified, full information tests tend to be more powerful, and its parameter estimates tend to be more biased. This suggests that at least in the model considered here, the gains from the use of the less robust and computationally more complex full information technique are not particularly large.

Suggested Citation

  • Kenneth D. West, 1986. "Full Versus Limited Information Estimation of a Rational Expectations Model: Some Numerical Comparisons," NBER Technical Working Papers 0054, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberte:0054
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    1. Hansen, Lars Peter & Sargent, Thomas J., 1982. "Instrumental variables procedures for estimating linear rational expectations models," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 263-296.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    4. McCallum, Bennett T, 1976. "Rational Expectations and the Natural Rate Hypothesis: Some Consistent Estimates," Econometrica, Econometric Society, vol. 44(1), pages 43-52, January.
    5. Hayashi, Fumio & Sims, Christopher A, 1983. "Nearly Efficient Estimation of Time Series Models with Predetermined, but Not Exogenous, Instruments," Econometrica, Econometric Society, vol. 51(3), pages 783-798, May.
    6. Blanchard, Olivier J, 1983. "The Production and Inventory Behavior of the American Automobile Industry," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 365-400, June.
    7. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    8. Kenneth D. West, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, Oxford University Press, vol. 102(3), pages 553-580.
    9. Kiefer, Nicholas M & Skoog, Gary R, 1984. "Local Asymptotic Specification Error Analysis," Econometrica, Econometric Society, vol. 52(4), pages 873-885, July.
    10. Blanchard, Olivier J, 1981. "What Is Left of the Multiplier Accelerator?," American Economic Review, American Economic Association, vol. 71(2), pages 150-154, May.
    11. Chow, Gregory C., 1980. "Estimation of rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 241-255, May.
    12. 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. Efrem Castelnuovo & Luca Fanelli, 2015. "Monetary Policy Indeterminacy and Identification Failures in the U.S.: Results from A Robust Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(6), pages 924-947, September.
    2. 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.
    3. Fanelli, Luca, 2012. "Determinacy, indeterminacy and dynamic misspecification in linear rational expectations models," Journal of Econometrics, Elsevier, vol. 170(1), pages 153-163.
    4. Sènakpon F.A. Dedehouanou & Dugassa Aichatou Ousseini & Abdoulaziz Laouali Harouna & Jabir Maimounata, 2015. "Spillovers from Off-farm Self-Employment Opportunities in Rural NIGER," Working Papers 2015/03, Maastricht School of Management.
    5. Kenneth D. West, 1993. "Inventory Models," NBER Technical Working Papers 0143, National Bureau of Economic Research, Inc.
    6. Kenneth West & Ka-fu Wong & Stanislav Anatolyev, 2009. "Instrumental Variables Estimation of Heteroskedastic Linear Models Using All Lags of Instruments," Econometric Reviews, Taylor & Francis Journals, vol. 28(5), pages 441-467.
    7. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341.
    8. Robert A. Amano, "undated". "Empirical Evidence on the Cost of Adjustment and Dynamic Labour Demand," Staff Working Papers 95-3, Bank of Canada.

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