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On the Effect of Nonstationary Initial Conditions in Dynamic Panel Data Models

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  • Kazuhiko Hayakawa

Abstract

In this paper, we consider dynamic panel data models with possibly nonstationary initial conditions. We derive the asymptotic properties of the GMM estimators with various kinds of instruments when both N and T are large, where N and T denote the dimensions of the cross section and time series. We find that when initial conditions are nonstationary and the degree of heterogeneity, which is measured by the variance ratio of individual effects to the disturbances, is large, the biases and variances of the GMM estimators become small. We demonstrate that this is because the correlation between the lagged dependent variable and instruments gets larger due to the unremoved individual effects. This implies that the instruments become strong when initial conditions are nonstationary and the degree of heterogeneity is large. For the purpose of comparison, we also derive the asymptotic properties of the within groups and the LIML estimators. Numerical studies are conducted to assess the properties of these estimators.

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Bibliographic Info

Paper provided by Institute of Economic Research, Hitotsubashi University in its series Hi-Stat Discussion Paper Series with number d07-245.

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Date of creation: Mar 2008
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Handle: RePEc:hst:hstdps:d07-245

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Keywords: Dynamic panel data models; many instruments; generalized method of moments estimator; nonstationary initial conditions; degree of heterogeneity.;

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  1. Kazuhiko Hayakawa, 2005. "Small Sample Bias Propreties of the System GMM Estimator in Dynamic Panel Data Models," Hi-Stat Discussion Paper Series d05-82, Institute of Economic Research, Hitotsubashi University.
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  16. Kazuhiko Hayakawa, 2007. "A Simple Efficient Instrumental Variable Estimator in Panel AR(p) Models," Hi-Stat Discussion Paper Series d07-213, Institute of Economic Research, Hitotsubashi University.
  17. Judson, Ruth A. & Owen, Ann L., 1999. "Estimating dynamic panel data models: a guide for macroeconomists," Economics Letters, Elsevier, vol. 65(1), pages 9-15, October.
  18. Okui, Ryo, 2009. "The optimal choice of moments in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 151(1), pages 1-16, July.
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Citations

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Cited by:
  1. Hayakawa, Kazuhiko, 2009. "On the effect of mean-nonstationarity in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 153(2), pages 133-135, December.
  2. Okajima, Shigeharu & Okajima, Hiroko, 2013. "Estimation of Japanese price elasticities of residential electricity demand, 1990–2007," Energy Economics, Elsevier, vol. 40(C), pages 433-440.
  3. Daron Acemoglu & Suresh Naidu & Pascual Restrepo & James A. Robinson, 2014. "Democracy Does Cause Growth," NBER Working Papers 20004, National Bureau of Economic Research, Inc.

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