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The Asymptotic Properties of the System GMM Estimator in Dynamic Panel Data Models When Both N and T are Large

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Kazuhiko Hayakawa

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Abstract

This paper complements Alvarez and Arellano (2003) by showing the asymptotic properties of the system GMM estimator for AR(1) panel data models when both N and T tend to infinity. We show that the system GMM estimator with the instruments which Blundell and Bond (1998) used will be inconsistent when both N and T are large. We also show that the system GMM estimator with all available instruments, including redundant ones, will be consistent if ƒÐƒÅ2/ƒÐv2 = 1-ƒ¿ holds.

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Paper provided by Institute of Economic Research, Hitotsubashi University in its series Hi-Stat Discussion Paper Series with number d05-129.

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Date of creation: Jan 2006
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Handle: RePEc:hst:hstdps:d05-129

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  1. Bun, Maurice J.G. & Kiviet, Jan F., 2006. "The effects of dynamic feedbacks on LS and MM estimator accuracy in panel data models," Journal of Econometrics, Elsevier, vol. 132(2), pages 409-444, June. [Downloadable!] (restricted)
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  2. Alvarez, J. & Arellano, M., 1998. "The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Papers 9808, Centro de Estudios Monetarios Y Financieros-.
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  3. Arellano, Manuel & Bond, Stephen, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," Review of Economic Studies, Blackwell Publishing, vol. 58(2), pages 277-97, April. [Downloadable!] (restricted)
  4. Bond, Stephen Roy & Hoeffler, Anke & Temple, Jonathan, 2001. "GMM Estimation of Empirical Growth Models," CEPR Discussion Papers 3048, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  5. Beck, Thorsten & Levine, Ross & Loayza, Norman, 2000. "Finance and the sources of growth," Journal of Financial Economics, Elsevier, vol. 58(1-2), pages 261-300. [Downloadable!] (restricted)
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  6. Alonso-Borrego, Cesar & Arellano, Manuel, 1999. "Symmetrically Normalized Instrumental-Variable Estimation Using Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 36-49, January.
  7. Richard Blundell & Steve Bond, 1995. "Initial conditions and moment restrictions in dynamic panel data models," IFS Working Papers W95/17, Institute for Fiscal Studies.
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  8. Hayakawa, Kazuhiko, 2007. "Small sample bias properties of the system GMM estimator in dynamic panel data models," Economics Letters, Elsevier, vol. 95(1), pages 32-38, April. [Downloadable!] (restricted)
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  9. Richard Blundell & Stephen Bond, 2000. "GMM Estimation with persistent panel data: an application to production functions," Econometric Reviews, Taylor and Francis Journals, vol. 19(3), pages 321-340. [Downloadable!] (restricted)
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  10. Dollar, David & Kraay, Aart, 2002. " Growth Is Good for the Poor," Journal of Economic Growth, Springer, vol. 7(3), pages 195-225, September. [Downloadable!] (restricted)
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  11. Kazuhiko Hayakawa, 2006. "Efficient GMM Estimation of Dynamic Panel Data Models Where Large Heterogeneity May Be Present," Hi-Stat Discussion Paper Series d05-130, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  12. Anderson, T. W. & Hsiao, Cheng., 1980. "Estimation of Dynamic Models with Error Components," Working Papers 336, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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Cited by:
(explanations, 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.)

  1. Hiroaki Chigira & Taku Yamamoto, 2006. "A Bias-Corrected Estimation for Dynamic Panel Models in Small Samples," Hi-Stat Discussion Paper Series d06-177, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  2. Kazuhiko Hayakawa, 2006. "Efficient GMM Estimation of Dynamic Panel Data Models Where Large Heterogeneity May Be Present," Hi-Stat Discussion Paper Series d05-130, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
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