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Understanding Bias in Nonlinear Panel Models: Some Recent Developments

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  • Manuel Arellano
  • Jinyong Hahn

Abstract

The purpose of this paper is to review recently developed methods of estimation of nonlinear fixed effects panel data models with reduced bias properties. We begin by describing fixed effects estimators and the incidental parameters problem. Next we explain how to construct analytical bias correction of estimators, followed by bias correction of the moment equation, and bias corrections for the concentrated likelihood. We then turn to discuss other approaches leading to bias correction based on orthogonalization and their extensions. The remaining sections consider quasi maximum likelihood estimation for dynamic models, the estimation of marginal effects, and automatic methods based on simulation.

Suggested Citation

  • Manuel Arellano & Jinyong Hahn, 2005. "Understanding Bias in Nonlinear Panel Models: Some Recent Developments," Working Papers wp2005_0507, CEMFI.
  • Handle: RePEc:cmf:wpaper:wp2005_0507
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    References listed on IDEAS

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    1. Manuel Arellano, 2003. "Discrete choices with panel data," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 423-458, September.
    2. Carro, Jesus M., 2007. "Estimating dynamic panel data discrete choice models with fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 503-528, October.
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    4. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, July.
    5. Ivan Fernandez-Val, 2005. "Estimation of Structural Parameters and Marginal Effects in Binary Choice Panel Data Models with Fixed Effects," Boston University - Department of Economics - Working Papers Series WP2005-38, Boston University - Department of Economics.
    6. Thomas A. Severini, 2002. "Modified estimating functions," Biometrika, Biometrika Trust, vol. 89(2), pages 333-343, June.
    7. Hahn, Jinyong, 2001. "The Information Bound Of A Dynamic Panel Logit Model With Fixed Effects," Econometric Theory, Cambridge University Press, vol. 17(5), pages 913-932, October.
    8. N. Sartori, 2003. "Modified profile likelihoods in models with stratum nuisance parameters," Biometrika, Biometrika Trust, vol. 90(3), pages 533-549, September.
    9. Newey, Whitney K, 1990. "Semiparametric Efficiency Bounds," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(2), pages 99-135, April-Jun.
    10. Hahn, Jinyong & Kuersteiner, Guido, 2011. "Bias Reduction For Dynamic Nonlinear Panel Models With Fixed Effects," Econometric Theory, Cambridge University Press, vol. 27(6), pages 1152-1191, December.
    11. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
    12. Tony Lancaster, 2002. "Orthogonal Parameters and Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 647-666.
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    11. Galvao Jr, A. F. & Montes-Rojas, G., 2009. "Instrumental variables quantile regression for panel data with measurement errors," Working Papers 09/06, Department of Economics, City University London.
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    13. Fernández-Val, Iván & Vella, Francis, 2011. "Bias corrections for two-step fixed effects panel data estimators," Journal of Econometrics, Elsevier, vol. 163(2), pages 144-162, August.
    14. Tomohiro Ando & Jushan Bai, 2016. "Panel Data Models with Grouped Factor Structure Under Unknown Group Membership," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(1), pages 163-191, January.
    15. Innocent BAYAI & Sylvanus IKHIDE, 2018. "FINANCING STRUCTURE AND FINANCIAL SUSTAINABILITY OF SELECTED SADC MICROFINANCE INSTITUTIONS (MFIs)," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 89(4), pages 665-696, December.
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    18. Contoyannis, Paul & Li, Jinhu, 2011. "The evolution of health outcomes from childhood to adolescence," Journal of Health Economics, Elsevier, vol. 30(1), pages 11-32, January.
    19. Aleix Calveras & Juan-José Ganuza & Gerard Llobet, 2005. "Regulation and Opportunism: How Much Activism Do We Need?," Working Papers wp2005_0508, CEMFI.
    20. Lee, Lung-fei & Yu, Jihai, 2010. "Estimation of spatial autoregressive panel data models with fixed effects," Journal of Econometrics, Elsevier, vol. 154(2), pages 165-185, February.
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