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GMM Estimation for Dynamic Panels with Fixed Effects and Strong Instruments at Unity

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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 (rho) is near unity. In both panel and time series cases, the estimator has standard Gaussian asymptotics for all values of rho in (-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.

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File URL: http://cowles.econ.yale.edu/P/cd/d15b/d1599.pdf
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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1599.

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Length: 45 pages
Date of creation: Jan 2007
Date of revision:
Publication status: Published in Econometric Theory (2009), 26(1): 119-151
Handle: RePEc:cwl:cwldpp:1599

Note: CFP 1290
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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
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Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Keywords: Asymptotic normality; Asymptotic power envelope; Moment conditions; Panel unit roots; Point optimal test; Unit root tests; Weak instruments;

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References

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  1. Hyungsik Roger Moon & Benoit Perron & Peter C.B. Phillips, 2003. "Incidental Trends and the Power of Panel Unit Root Tests," Cowles Foundation Discussion Papers 1435, Cowles Foundation for Research in Economics, Yale University.
  2. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
  3. Richard Blundell & Steve Bond, 1995. "Initial conditions and moment restrictions in dynamic panel data models," IFS Working Papers W95/17, Institute for Fiscal Studies.
  4. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
  5. 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, Wiley Blackwell, vol. 58(2), pages 277-97, April.
  6. Javier Alvarez & Manuel Arellano, 2003. "The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Econometrica, Econometric Society, vol. 71(4), pages 1121-1159, 07.
  7. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
  8. Ahn, Seung C. & Schmidt, Peter, 1995. "Efficient estimation of models for dynamic panel data," Journal of Econometrics, Elsevier, vol. 68(1), pages 5-27, July.
  9. Moon, H.R. & Perron, B. & Phillips, P.C.B., 2006. "On The Breitung Test For Panel Unit Roots And Local Asymptotic Power," Econometric Theory, Cambridge University Press, vol. 22(06), pages 1179-1190, December.
  10. So Im, Kyung & Ahn, Seung C. & Schmidt, Peter & Wooldridge, Jeffrey M., 1999. "Efficient estimation of panel data models with strictly exogenous explanatory variables," Journal of Econometrics, Elsevier, vol. 93(1), pages 177-201, November.
  11. Hyungsik Roger Moon & Benoit Perron, 2008. "Asymptotic local power of pooled t-ratio tests for unit roots in panels with fixed effects," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 80-104, 03.
  12. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
  13. Chirok Han & Peter C. B. Phillips, 2006. "GMM with Many Moment Conditions," Econometrica, Econometric Society, vol. 74(1), pages 147-192, 01.
  14. Hsaio, Cheng & Pesaran, M. Hashem & Tahmiscioglu, A. Kamil, 1998. "Maximum Likelihood Estimation of Fixed Effects Dynamic Panel Data Models Covering Short Time Periods," Cambridge Working Papers in Economics 9826, Faculty of Economics, University of Cambridge.
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Citations

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Cited by:
  1. Angelica Gonzalez, 2007. "Empirical Likelihood Estimation in Dynamic Panel Models," ESE Discussion Papers 168, Edinburgh School of Economics, University of Edinburgh.
  2. Gouriéroux, Christian & Phillips, Peter C.B. & Yu, Jun, 2010. "Indirect inference for dynamic panel models," Journal of Econometrics, Elsevier, vol. 157(1), pages 68-77, July.
  3. Chirok Han & Peter C.B. Phillips & Donggyu Sul, 2010. "X-Differencing and Dynamic Panel Model Estimation," Cowles Foundation Discussion Papers 1747, Cowles Foundation for Research in Economics, Yale University.
  4. Alexia Gaudeul & Caterina Giannetti, 2012. "The role of reciprocation in social network formation, with an application to blogging," Jena Economic Research Papers 2012-031, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  5. Almánzar, Miguel & Torero, Máximo & Grebmer, Klaus von, 2013. "Futures Commodities Prices and Media Coverage," Discussion Papers 149414, University of Bonn, Center for Development Research (ZEF).
  6. Robertson, Donald & Sarafidis, Vasilis & Westerlund, Joakim, 2014. "GMM Unit Root Inference in Generally Trending and Cross-Correlated Dynamic Panels," MPRA Paper 53419, University Library of Munich, Germany.
  7. Raymond Li & Guy C.K. Leung, 2012. "Gasoline consumption in China: a dynamic panel data analysis," Economics Bulletin, AccessEcon, vol. 32(3), pages 2375-2382.
  8. Missaka Warusawitharana & Toni M. Whited, 2013. "Equity market misvaluation, financing, and investment," Finance and Economics Discussion Series 2013-78, Board of Governors of the Federal Reserve System (U.S.).
  9. Joakim Westerlund & J�rg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
  10. Syden Mishi & Asrat Tsegaye, 2012. "The Role of Banks in Monetary Policy Transmission in South Africa," Working Papers 295, Economic Research Southern Africa.

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