Calzolari, Giorgio and Magazzini, Laura and Mealli, Fabrizia (2001): Simulation-based estimation of Tobit model with random effects. Published in: Econometric Studies, a Festschrift in Honour of Joachim Frohn No. Ed. by R. Friedmann, L. Knueppel, and H. Luetkepohl . Muenster: LIT Verlag (2001): pp. 349-369.
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The estimation of limited dependent variable panel data models usually involves objective functions in which integrals appear without a closed form solution: this is the case of the panel data Tobit model with random effects. Recently, simulation methods have shown to be useful in the inference process, as they offer methods to approximate such integrals (Laroque, Salanie, 1989; Gouri´eroux, Monfort, 1991, 1993; Hajivassiliou, McFadden, 1998; Mealli, Rampichini, 1999; Inkmann, 2000). Although the asymptotic performances of such methods are known and their application has been successfully undertaken, more precise ideas on their finite sample performance and computational efficiency is still needed. In this paper we propose to use the method of indirect inference, using different auxiliary models, and the simulated maximum likelihood to estimate these models. We use a panel data Tobit model with a simple correlation structure in the unobservables (i.e. a one-factor structure), but the model could be easily extended. Using both simulated and real data, we show the perfomances of the proposed methods in finite samples. The application on real data is concerned with a model of female labour supply.
|Item Type:||MPRA Paper|
|Original Title:||Simulation-based estimation of Tobit model with random effects|
|Keywords:||Tobit model; random effects; simulation based estimation; indirect estimation|
|Subjects:||C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C24 - Truncated and Censored Models ; Switching Regression Models ; Threshold Regression Models
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General
C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C21 - Cross-Sectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions
|Depositing User:||Giorgio Calzolari|
|Date Deposited:||05. Jun 2010 18:55|
|Last Modified:||19. Feb 2013 16:43|
Amemiya, T. (1984): "Tobit Models: A Survey", Journal of Econometrics, 24, 3-61.
Calzolari, G., F. Di Iorio, and G. Fiorentini (1999): "Indirect Estimation of Just-Identified Models with Control Variates", Universita' di Firenze, Quaderni del Dipartimento di Statistica N. 46.
Gallant, R., and G. Tauchen (1996): "Which Moments to Match?", Econometric Theory, 12, 657-681.
Goldberger, A.S. (1964): Econometric Theory, New York: John Wiley & Sons.
Gourieroux, C., and A. Monfort (1991): "Simulation-Based Inference in Models with Heterogeneity", Annales d'Economie et de Statistique, 20/21, 69-107.
Gourieroux, C., and A. Monfort (1993): "Simulation-Based Inference: A Survey with Special Reference to Panel Data Models", Journal of Econometrics, 59, 5-33.
Gourieroux, C., A. Monfort, and E. Renault (1993): "Indirect Inference", Journal of Applied Econometrics, 8, S85-S118.
Greene, W.H. (1997): Econometric Analysis, 3rd ed., London: Prentice- Hall International.
Hajivassiliou, V.A., and D. McFadden (1998): "The Method of Simulated Scores for the Estimation of LDV Models", Econometrica, 66, 63-96.
Heckman, J. J. (1981): "The Incidental Parameter Problem and the Problem of Initial Conditions in Estimating a Discrete Time-Discrete Data Stochastic Process", in Structural Analysis of Discrete Data with Econometric Applications, C.F. Manski and D. McFadden (eds.), Cambridge, Mass: MIT Press, 179-195.
Heckman, J.J., and T.E. MaCurdy (1980): "A Life Cycle Model of Female Labour Supply", Review of Economic Studies, 47, 47-74.
Honore, B.E. (1992): "Trimmed Lad and Least Squares Estimation of Truncated and Censored Regression Models with Fixed Effects", Econometrica, 60, 533-565.
Honore, B.E. (1993): "Orthogonality Conditions for Tobit Models with Fixed Effects and Lagged Dependent Variables", Journal of Econometrics, 59, 35-61.
Honore, B.E. and E. Kyriazidou (2000, fortcoming): "Estimation of Tobittype Models with Individual Specific Effects", Econometric Reviews.
Inkmann, J. (2000): "Misspecified Heteroskedasticity in the Panel Probit Model: a Small Sample Comparison of GMM and SML Estimators", Journal of Econometrics, 97, 227-260.
Laroque G., and B. Salanie (1989): "Estimation of multi-Market fix-price models: an application of pseudo maximum likelihood methods", Econometrica, 57, 831/860.
Maddala, G. (1987): "Limited Dependent Variable Models Using Panel Data", Journal of Human Resources, XXII (3), 307-338.
Mealli, F. and C. Rampichini (1999): "Estimating binary multilevel models through indirect inference", Computational Statistics and Data Analysis, 29, 313-324.
Tobin, J. (1958): "Estimation of Relationships for Limited Dependent Variables", Econometrica, 26, 24-36.
Zammarano, S. (1995): "Mercato del Lavoro e Scelta dello Stato Occupazionale: Aspetti Teorici e Valutazioni Empiriche", Universita' di Firenze, Facolta' di Economia, Tesi di Laurea.