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Dynamic Ordered Panel Logit Models (2107.03253v4)
Published 7 Jul 2021 in econ.EM
Abstract: This paper studies a dynamic ordered logit model for panel data with fixed effects. The main contribution of the paper is to construct a set of valid moment conditions that are free of the fixed effects. The moment functions can be computed using four or more periods of data, and the paper presents sufficient conditions for the moment conditions to identify the common parameters of the model, namely the regression coefficients, the autoregressive parameters, and the threshold parameters. The availability of moment conditions suggests that these common parameters can be estimated using the generalized method of moments, and the paper documents the performance of this estimator using Monte Carlo simulations and an empirical illustration to self-reported health status using the British Household Panel Survey.
- Aguirregabiria, V., and J. M. Carro (2021): “Identification of Average Marginal Effects in Fixed Effects Dynamic Discrete Choice Models,” unpublished, pp. 1–31.
- Aguirregabiria, V., J. Gu, and Y. Luo (2021): “Sufficient Statistics for Unobserved Heterogeneity in Structural Dynamic Logit Models,” Journal of Econometrics, 223(2), 280–311.
- Albarran, P., R. Carrasco, and J. M. Carro (2019): “Estimation of Dynamic Nonlinear Random Effects Models with Unbalanced Panels,” Oxford Bulletin of Economics and Statistics, 81(6), 1424–1441.
- Arellano, M. (2003): “Discrete choices with panel data,” Investigaciones económicas, 27(3), 423–458.
- Arellano, M., and S. Bond (1991): “Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations,” The Review of Economic Studies, 58(2), 277.
- Arellano, M., and S. Bonhomme (2011): “Nonlinear Panel Data Analysis,” Annual Review of Economics, 3(1), 395–424.
- Aristodemou, E. (2021): “Semiparametric Identification in Panel Data Discrete Response Models,” Journal of Econometrics, 220(2), 253–271.
- Baetschmann, G., K. E. Staub, and R. Winkelmann (2015): “Consistent estimation of the fixed effects ordered logit model,” Journal of the Royal Statistical Society A, 178(3), 685–703.
- Blundell, R., and S. Bond (1998): “Initial conditions and moment restrictions in dynamic panel data models,” Journal of Econometrics, 87(1), 115–143.
- Bonhomme, S. (2012): “Functional differencing,” Econometrica, 80(4), 1337–1385.
- Botosaru, I., C. Muris, and K. Pendakur (2023): “Identification of Time-Varying Transformation Models with Fixed Effects, with an Application to Unobserved Heterogeneity in Resource Shares,” Journal of Econometrics, 232(2), 576–597.
- Carro, J. M., and A. Traferri (2014): “State Dependence and Heterogeneity in Health Using a Bias-Corrected Fixed-Effects Estimator,” Journal of Applied Econometrics, 29(2), 181–207.
- Chamberlain, G. (1980): “Analysis of Covariance with Qualitative Data,” The Review of Economic Studies, 47(1), 225–238.
- (1985): “Heterogeneity, Omitted Variable Bias, and Duration Dependence,” in Longitudinal Analysis of Labor Market Data, ed. by J. J. Heckman, and B. Singer, no. 10 in Econometric Society Monographs series, pp. 3–38. Cambridge University Press, Cambridge, New York and Sydney.
- Contoyannis, P., A. M. Jones, and N. Rice (2004): “The dynamics of health in the British Household Panel Survey,” Journal of Applied Econometrics, 19(4), 473–503.
- Das, M., and A. van Soest (1999): “A panel data model for subjective information on household income growth,” Journal of Economic Behavior & Organization, 40(4), 409–426.
- Davezies, L., X. D’Haultfoeuille, and M. Mugnier (2022): “Fixed Effects Binary Choice Models with Three or More Periods,” Quantitative Economics (forthcoming).
- Dobronyi, C., J. Gu, and K. i. Kim (2021): “Identification of Dynamic Panel Logit Models with Fixed Effects,” arXiv preprint arXiv:2104.04590.
- Fernández-Val, I., Y. Savchenko, and F. Vella (2017): “Evaluating the role of income, state dependence and individual specific heterogeneity in the determination of subjective health assessments,” Economics & Human Biology, 25, 85–98.
- Hahn, J. (1997): “A Note on the Efficient Semiparametric Estimation of Some Exponential Panel Models,” Econometric Theory, 13(4), 583–588.
- Hansen, L. P. (1982): “Large Sample Properties of Generalized Method of Moments Estimators,” Econometrica, 50(4), pp. 1029–1054.
- Honoré, B. E. (2002): “Nonlinear models with panel data,” Portuguese Economic Journal, 1(2), 163.
- Honoré, B. E., and L. Hu (2004): “Estimation of Cross Sectional and Panel Data Censored Regression Models with Endogeneity,” Journal of Econometrics, 122(2), 293–316.
- Honoré, B. E., and E. Kyriazidou (2000): “Panel data discrete choice models with lagged dependent variables,” Econometrica, 68(4), 839–874.
- Honoré, B. E., and M. Weidner (2020): “Moment Conditions for Dynamic Panel Logit Models with Fixed Effects,” arXiv preprint arXiv:2005.05942.
- Johnson, E. G. (2004a): “Identification in discrete choice models with fixed effects,” in Working paper, Bureau of Labor Statistics. Citeseer.
- Johnson, E. G. (2004b): “Panel Data Models With Discrete Dependent Variables,” Ph.D. thesis, Stanford University.
- Khan, S., F. Ouyang, and E. Tamer (2021): “Inference on Semiparametric Multinomial Response Models,” Quantitative Economics, 12, 743–777.
- Kitazawa, Y. (2021): “Transformations and moment conditions for dynamic fixed effects logit models,” Journal of Econometrics.
- Kruiniger, H. (2020): “Further results on the estimation of dynamic panel logit models with fixed effects,” arXiv preprint arXiv:2010.03382.
- Magnac, T. (2000): “Subsidised training and youth employment: distinguishing unobserved heterogeneity from state dependence in labour market histories,” The Economic Journal, 110(466), 805–837.
- Muris, C. (2017): “Estimation in the Fixed-Effects Ordered Logit Model,” The Review of Economics and Statistics, 99(3), 465–477.
- (2020): “Efficient GMM Estimation with Incomplete Data,” The Review of Economics and Statistics, 102(3), 518–530.
- Muris, C., P. Raposo, and S. Vandoros (2020): “A dynamic ordered logit model with fixed effects,” arXiv preprint arXiv:2008.05517.
- Newey, W. K., and D. McFadden (1994): “Large Sample Estimation and Hypothesis Testing,” in Handbook of Econometrics, ed. by R. F. Engle, and D. L. McFadden, no. 4 in Handbooks in Economics,, pp. 2111–2245. Elsevier, North-Holland, Amsterdam, London and New York.
- Neyman, J., and E. L. Scott (1948): “Consistent estimates based on partially consistent observations,” Econometrica, 16, 1–32.
- Pakes, A., J. Porter, M. Shepard, and S. Calder-Wang (2022): “Unobserved Heterogeneity, State Dependence, and Health Plan Choices,” Working paper. Revised Sept. 2022.
- Shi, X., M. Shum, and W. Song (2018): “Estimating Semi-Parametric Panel Multinomial Choice Models Using Cyclic Monotonicity,” Econometrica, 86(2), 737–761.
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