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Semiparametric estimation of panel data models without monotonicity or separability. (English) Zbl 1452.62896

Summary: Nonseparable panel data models with fixed effects have received a great deal of attention in the literature. Monotonicity is a common assumption in these settings, which may be violated in practice. Monotonicity-based estimators are inconsistent and the associated inference misleading under misspecification. In this paper, we propose some semiparametric estimators without imposing the monotonicity restriction. Under regularity conditions, our estimators are consistent and asymptotically normal. Our simulation suggests that our estimators work well in finite samples.

MSC:

62P20 Applications of statistics to economics
62G05 Nonparametric estimation
62E20 Asymptotic distribution theory in statistics
62G20 Asymptotic properties of nonparametric inference
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[1] Abrevaya, J., Rank estimation of a generalized fixed-effects regression model, J. Econometrics, 95, 1-23, (2000) · Zbl 0970.62045
[2] Altonji, J. G.; Matzkin, R. L., Cross section and panel data estimators for nonseparable models with endogenous regressors, Econometrica, 73, 4, (2005) · Zbl 1152.62405
[3] Amemiya, T., Advanced econometrics, 1053-1102, (1985), Harvard University Press Cambridge, MA
[4] Bester, C. A.; Hansen, C., Identification of marginal effects in a nonparametric correlated random effects model, J. Bus. Econom. Statist., 27, 2, 235-250, (2009)
[5] Chamberlain, G., Analysis of covariance with qualitative data, Rev. Econ. Stud., 47, 225-228, (1980) · Zbl 0431.62042
[6] Charlier, E.; Melenberg, B.; van Soesst, A smoothed maximum score estimator for the binary choice panel data model with an application to labour force participation, Stat. Neerl., 49, 324-342, (1995) · Zbl 0845.62029
[7] Evdokimov, K., 2010. Identification and estimation of a nonparametric panel data model with unobserved heterogeneity. Manuscript.; Evdokimov, K., 2010. Identification and estimation of a nonparametric panel data model with unobserved heterogeneity. Manuscript.
[8] Hausman; Griliches, J. Z.; Hall, B., Econometric models for count data with an application to the patents R&D relationship, Econometrica, 52, 909-938, (1984)
[9] Hoderlein, S.; Mammen, E., Identification and estimation of local average derivatives in non-separable models without monotonicity, Econom. J., 12, 1-25, (2009) · Zbl 1190.62199
[10] Hoderlein, S.; White, H., Nonparametric identification in nonseparable panel data models with generalized fixed effects, J. Econometrics, 168, 300-314, (2012) · Zbl 1443.62462
[11] Honoré, B. E., Trimmed LAD and least squares estimation of truncated and censored regression models with fixed effects, Econometrica, 60, 533-565, (1992) · Zbl 0760.62070
[12] Horowitz, J. L., A smoothed maximum score estimator for the binary response model, Econometrica, 60, 505-531, (1992) · Zbl 0761.62166
[13] Ichimura, H., Semiparametric least squares (SLS) and weighted SLS estimation of single-index models, J. Econometrics, 58, 71-120, (1993) · Zbl 0816.62079
[14] Kasy, M., Instumental variables with unrestricted heterogeneity and continuous treatment, Rev. Econom. Stud., 0, 1-23, (2014)
[15] Manski, C. F., Semiparametric analysis of random effects linear models from binary panel data, Econometrica, 55, 357-362, (1987) · Zbl 0655.62106
[16] Nolan, D.; Pollard, D., U-processes: rates of convergence, Ann. Statist., 15, 780-799, (1987) · Zbl 0624.60048
[17] Pakes, A.; Pollard, D., Simulation and the asymptotics of optimization estimators, Econometrica, 57, 1027-1057, (1989) · Zbl 0698.62031
[18] Pollard, D., Uniform ratio limit theorems for empirical processes, Scand. J. Stat., 22, 271-278, (1995), 31-64 · Zbl 0835.62051
[19] Powell, J. L.; Stock, J. H.; Stoker, T. M., Semiparametric estimation of index coefficients, Econometrica, 57, 1403-1430, (1989) · Zbl 0683.62070
[20] Su, L., Hoderlein, S., White, H., 2013. Testing Monotonicity in Unobservables with Panel Data. Manuscript.; Su, L., Hoderlein, S., White, H., 2013. Testing Monotonicity in Unobservables with Panel Data. Manuscript.
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