[1] Arellano, M. and J. Hahn (2006): âA likelihood-based approximate solution to the incidental parameter problemin dynamic nonlinear models with multiple eectsâ, unpublished manuscript.
[10] Hahn, J. and G. Kuersteiner (2004): âBias Reduction for Dynamic Nonlinear Panel Models with Fixed Eectsâ, mimeo.
[11] Hahn, J. and W. Newey (2004): âJackknife and Analytical Bias Reduction for Nonlinear Panel Modelsâ, Econometrica, 72(4): 1295-1319.
[12] Halliday, T. J. (2008): âHeterogeneity, state dependence and healthâ. Econometrics Journal, 11: 499-516 [13] Jones, A. M. (2007): âPanel Data Methods and Applications to Health Economicsâ, to appear in The Palgrave Handbook of Econometrics Volume II: Applied Econometrics, edited by Terence C. Mills and Kerry Patterson. Basingstoke: Palgrave MacMillan.
[14] Jones, A. M. and S. Schurer (2009): âHow does Heterogeneity Shape the Socioeconomic Gradient in Health Satisfaction?â. Journal of Applied Econometrics, published online, DOI: 10.1002/jae.1134.
[15] Lindeboom, M. and E. van Doorslaer (2004):âCut-point shift and index shift in selfreported healthâJournal of Health Economics, 23: 1083-1099 [16] Mundlak, Y. (1978): âOn the pooling of time series and cross-section dataâ, Econometrica, 46(1): 69-85.
[17] Rilstone, P., V.K. Srivastava, and A. Ullah (1996): âThe second-order bias and mean squared error of nonlinear estimatorsâ, Journal of Econometrics, 75: 369-395 [18] van Doorslaer, E., Jones, A.M. and Koolman, X. (2004). âExplaining income-related inequalities in doctor utilisation in EuropeâHealth Economics, 13: 629-647 [19] Wooldridge, J. (2005): âSimple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity â, Journal of Applied Econometrics, 20: 39-54.
[2] Arellano, M. and J. Hahn (2007): âUnderstanding Bias in Nonlinear Panel Models: Some Recent Developmentsâ. in Advances in Economics and Econometrics, Theory and Applications, Ninth World Congress, Volume 3, edited by Richard Blundell, Whitney Newey, and Torsten Persson. Cambridge University Press.
[3] Bester, C. A. and C. Hansen (2009): âA Penalty Function Approach to Bias Reduction in Non-linear Panel Models with Fixed Eectsâ. Journal of Business & Economic Statistic, 27 (2):131-148 [4] Carro, J. M. (2007) âEstimating dynamic panel data discrete choice models with âxed eectsâ. Journal of Econometrics, 140 (2007):503-528 [5] Chamberlain, G. (1984): âPanel Dataâ, in Griliches, Z. and M.D. Intriligator (eds.) Handbook of Econometrics, vol. 2, Elsevier Science, Amsterdam.
[6] Chernozhukov, V., I. Fernandez-Val, J. Hahn, and W. Newey (2010): âAverage and Quantile Eects in Nonseparable Panel Modelsâ, mimeo, MIT Department of Economics.
- [7] Contoyannis, P., A. M. Jones and N. Rice (2004): âThe Dynamics of Health in the British Household Panel SurveyâJournal of Applied Econometrics, 19: 473-503 [8] Fernandez-Val, I. (2009): âFixed eects estimation of structural parameters and marginal eects in panel probit models â, Journal of Econometrics, 150 (2009):7185.
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- [9] Greene, W. H. and D. A. Henshen (2008): âModeling Ordered Choices: A Primer and Recent Developmentsâ, Available at SSRN: http://ssrn.com/abstract=1213093.
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3. Concentrate the likelihood and estimate with âxed eects. The problems come from not having a close form for bi and ^ci to obtain the analytic expression of the concentrated likelihood, and from having to estimate as many âxed eects parameters as individuals in the panel with large N. This problem is not speciâc to the MMLE. It aects any estimator with âxed eects and has already been treated in the literature. On top of that, computational problems are smaller with the current technology than they used to be. Classical references oering dierent solutions are Chamberlain (1980) and Heckman and MaCurdy (1980). More recently Greene (2004) also deals with the computational problem of inverting a large Hessian matrix. We have not used any of these solutions when estimating the MLE and MMLE. We have followed the proposal in