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Estimation and Inference in Panel Structure Models

  • Sun, Yixiao X

This paper proposes and implements a tractable approach to detect group structure in panel data. The mechanism works by means of a panel structure model, which assumes that individuals form a number of homogeneous groups in a heterogeneous population. Within each group, the (linear) regression coe¢ cients are the same, while they may be different across different groups. The econometrician is not presumed to know the group structure. Instead, a multinomial logistic regression is used to infer which individuals belong to which groups. The model is estimated via maximum likelihood. We prove the consistency and asymptotic normality of a global MLE under the mild assumption that the time dimension is larger than the number of regressors in the linear regression. We propose a likelihood ratio test to test the null of one group against the alternative of multiple groups. Simulation studies show that the MLE performs quite well and the likelihood ratio test has good size and power properties in finite samples.

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Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number qt5tf1231k.

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Date of creation: 01 Oct 2005
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Handle: RePEc:cdl:ucsdec:qt5tf1231k
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  1. Haque, N. U. & Pesaran, M. H. & Sharma, Sunil, 1999. "Neglected Heterogeneity and Dynamics in Cross-country Savings Regressions," Cambridge Working Papers in Economics 9904, Faculty of Economics, University of Cambridge.
  2. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September.
  3. Stephen P. Zeldes, . "Consumption and Liquidity Constraints: An Empirical Investigation," Rodney L. White Center for Financial Research Working Papers 16-88, Wharton School Rodney L. White Center for Financial Research.
  4. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
  5. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
  6. Lee, Kevin & Pesaran, M Hashem & Smith, Ron, 1997. "Growth and Convergence in Multi-country Empirical Stochastic Solow Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 357-92, July-Aug..
  7. Christophe Deissenberg, Gustav Feichtinger, Willi Semmler and Franz Wirl, 2001. "History Dependence and Global Dynamics in Models with Multiple Equilibria," Computing in Economics and Finance 2001 257, Society for Computational Economics.
  8. Timothy G. Conley & Bill Dupor, 2003. "A Spatial Analysis of Sectoral Complementarity," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 311-352, April.
  9. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
  10. Nazrul Islam, 1998. "Growth Empirics: A Panel Data Approach- A Reply," The Quarterly Journal of Economics, MIT Press, vol. 113(1), pages 325-329, February.
  11. Andrews, Donald W K, 2001. "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Econometrica, Econometric Society, vol. 69(3), pages 683-734, May.
  12. Donald W.K. Andrews & Werner Ploberger, 1992. "Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative," Cowles Foundation Discussion Papers 1015, Cowles Foundation for Research in Economics, Yale University.
  13. Anderson, T. W. & Hsiao, Cheng, 1982. "Formulation and estimation of dynamic models using panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 47-82, January.
  14. Kevin Lee & M. Hashem Pesaran & Ron Smith, . "Growth and Convergence in a Multi-County empirical Stochastic Solow Model," Discussion Papers in Economics 96/14, Department of Economics, University of Leicester.
  15. Kevin Lee & M. Hashem Pesaran & Ron Smith, 1998. "Growth Empirics: A Panel Data Approach- A Comment," The Quarterly Journal of Economics, MIT Press, vol. 113(1), pages 319-323, February.
  16. Donald W.K. Andrews, 2004. "Cross-section Regression with Common Shocks," Yale School of Management Working Papers ysm401, Yale School of Management.
  17. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291, March.
  18. Baltagi, Badi H. & Griffin, James M., 1997. "Pooled estimators vs. their heterogeneous counterparts in the context of dynamic demand for gasoline," Journal of Econometrics, Elsevier, vol. 77(2), pages 303-327, April.
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