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GMM ESTIMATION FOR DYNAMIC PANELS WITH FIXED EFFECTS AND STRONG INSTRUMENTS AT UNITY

Published online by Cambridge University Press:  19 June 2009

Chirok Han*
Affiliation:
Korea University
Peter C. B. Phillips*
Affiliation:
Yale University, University of Auckland, University of York, and Singapore Management University
*
Chirok Han, Department of Economics, Korea University, Anam-dong, Seongbuk-gu, Korea; e-mail: [email protected].
*Address correspondence to Peter C.B. Phillips, Cowles Foundation, Yale University, P.O. Box 208281, New Haven, CT 06520, USA; e-mail: [email protected]

Abstract

This paper develops new estimation and inference procedures for dynamic panel data models with fixed effects and incidental trends. A simple consistent GMM estimation method is proposed that avoids the weak moment condition problem that is known to affect conventional GMM estimation when the autoregressive coefficient (ρ) is near unity. In both panel and time series cases, the estimator has standard Gaussian asymptotics for all values of ρ ∈ (−1, 1] irrespective of how the composite cross-section and time series sample sizes pass to infinity. Simulations reveal that the estimator has little bias even in very small samples. The approach is applied to panel unit root testing.

Type
ARTICLES
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Ahn, S.C. & Schmidt, P. (1995) Efficient estimation of models for dynamic panel data. Journal of Econometrics 68, 527.CrossRefGoogle Scholar
Alvarez, J. & Arellano, M. (2003) The time series and cross-section asymptotics of dynamic panel data estimators. Econometrica 71(4), 11211159.CrossRefGoogle Scholar
Anderson, T.W. & Hsiao, C. (1981) Estimation of dynamic models with error components. Journal of American Statistical Association 76, 598606.CrossRefGoogle Scholar
Arellano, M. & Bond, S. (1991) Some tests of specification for panel data: Monte carlo evidence and an application to employment equations. Review of Economic Studies 58, 277297.CrossRefGoogle Scholar
Arellano, M. & Bover, O. (1995) Another look at the instrumental variable estimation of error-component models. Journal of Econometrics 68, 2951.CrossRefGoogle Scholar
Blundell, R. & Bond, S. (1998) Initial conditions and moment restrictions in dynamic panel data models. Journal of Econometrics 87, 115143.CrossRefGoogle Scholar
Bond, S., Nauges, C., & Windmeijer, F. (2005) Unit Roots: Identification and Testing in Micro Panels. IFS Working paper CWP07/05.CrossRefGoogle Scholar
Hahn, J. & Kuersteiner, G. (2002) Asymptotically unbiased inference for a dynamic panel model with fixed effects when both N and T are large. Econometrica 70(4), 16391657.CrossRefGoogle Scholar
Han, C. (2007) Determinants of covariance matrices of differenced AR(1) processes. Econometric Theory 23, 12481253.CrossRefGoogle Scholar
Han, C. & Phillips, P.C.B. (2006) GMM with many moment conditions. Econometrica 74, 147192.CrossRefGoogle Scholar
Han, C. & Phillips, P.C.B. (2007) GMM Estimation for Dynamic Panels with Fixed Effects and Strong Instruments at Unity. Mimeo, University of Auckland.Google Scholar
Hayakawa, K. (2007) Small sample bias properties of the system GMM estimator in dynamic panel data models. Economics Letters 95, 3278.CrossRefGoogle Scholar
Hsiao, C., Pesaran, M.H., & Tahmiscioglu, A.K. (2002) Maximum likelihood estimation of fixed effects dynamic panel data models covering short time periods. Journal of Econometrics 109, 107150.CrossRefGoogle Scholar
Im, K.S., Ahn, S.C., Schmidt, P., & Wooldridge, J. (1999) Efficient estimation of panel data models with strictly exogenous explanatory variables—A Monte Carlo study. Journal of Econometrics 93(1), 177201.CrossRefGoogle Scholar
Im, K.S., Pesaran, M.H., & Shin, Y. (1997) Testing for Unit Roots in Heterogeneous Panels. Working paper, University of Cambridge.Google Scholar
Kallenberg, O. (2002) Foundations of Modern Probability, 2nd ed.Springer.CrossRefGoogle Scholar
Kruiniger, H. (2007) An efficient linear GMM estimator for the covariance stationary AR(1)/unit root model for panel data. Econometric Theory 23, 519535.CrossRefGoogle Scholar
Levin, A. & Lin, C.F. (1992) Unit Root Test in Panel Data: Asymptotic and Finite Sample Properties. Discussion paper #92-93, University of California at San Diego.Google Scholar
Levin, A., Lin, C.F., & Chu, C.S.J. (2002). Unit root tests in panel data: Asymptotic and finite-sample properties. Journal of Econometrics 108, 124.CrossRefGoogle Scholar
Moon, H.R. & Perron, B. (2004) Asymptotic Local Power of Pooled t-Ratio Tests for Unit Roots in Panels with Fixed Effects. Mimeo, University of Southern California.Google Scholar
Moon, H.R., Perron, B., & Phillips, P.C.B. (2006a) On the Breitung test for panel unit roots and local asymptotic power. Econometric Theory 22, 11791190.CrossRefGoogle Scholar
Moon, H.R., Perron, B., & Phillips, P.C.B. (2006b) Incidental Trends and the Power of Panel Unit Root Tests. Working paper.CrossRefGoogle Scholar
Nickell, S. (1981) Biases in dynamic models with fixed effects. Econometrica 49, 14171426.CrossRefGoogle Scholar
Phillips, P.C.B. (1989) Partially identified econometric models. Econometric Theory 5, 181240.CrossRefGoogle Scholar
Phillips, P.C.B. & Han, C. (2008). Gaussian inference in AR(1) times series with or without unit root. Econometric Theory 24, 631650.CrossRefGoogle Scholar
Phillips, P.C.B. & Moon, H.R. (1999) Linear regression limit theory for nonstationary panel data. Econometrica 67(5), 10571111.CrossRefGoogle Scholar
Phillips, P.C.B. & Solo, V. (1992) Asymptotics for linear processes. Annals of Statistics 20(2), 9711001.CrossRefGoogle Scholar
Phillips, P.C.B. & Sul, D. (2007) Bias in dynamic panel estimation with fixed effects, incidental trends and cross section dependence. Journal of Econometrics 137, 162188.CrossRefGoogle Scholar
Ploberger, W. & Phillips, P.C.B. (2002) Optimal Testing for Unit Roots in Panel Data. Mimeo, Yale University.Google Scholar
Staiger, D. & Stock, J.H. (1997) Instrumental variables regression with weak instruments. Econometrica 65(3), 557586.CrossRefGoogle Scholar
Stock, J.H. & Wright, J.H. (2000) GMM with weak identification. Econometrica 68(5), 10551096.CrossRefGoogle Scholar