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Modified maximum likelihood estimation of Tobit models with fixed effects: theory and an application to earnings equations

Author

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  • Gabriel Jiménez Zambrano

    (Banco de España)

Abstract

This paper starts from the orthogonalization method proposed by Cox and Reid which is aplied to the Tobit model panel for data with fixed effects. Neyman and Scott showed that, generally, the maximum likelihood estimator is inconsistent (the incidental parameter problem). The methodology explained here recovers the use of the log-likelihood function to solve this problem taking advantage of the time-series dimension of panel data. For the Tobit model we show when is it possible to recover the orthogonal parameters, and study the characteristics of the estimators obtained with simulation methods. Also, an illustration for earnings equations has been performed.

Suggested Citation

  • Gabriel Jiménez Zambrano, 2005. "Modified maximum likelihood estimation of Tobit models with fixed effects: theory and an application to earnings equations," Investigaciones Economicas, Fundación SEPI, vol. 29(3), pages 575-607, September.
  • Handle: RePEc:iec:inveco:v:29:y:2005:i:3:p:575-607
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    References listed on IDEAS

    as
    1. Manuel Arellano, 2003. "Discrete choices with panel data," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 423-458, September.
    2. Arellano, Manuel & Honore, Bo, 2001. "Panel data models: some recent developments," Handbook of Econometrics,in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 53, pages 3229-3296 Elsevier.
    3. James J. Heckman & Thomas E. Macurdy, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 47-74.
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    More about this item

    Keywords

    Orthogonal parameters; modified profile likelihood; panel data; Tobit model;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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