Skip to main content
Log in

Heteroskedasticity in the Tobit model

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

The paper deals with parameter estimation and the testing of individual parameters in heteroskedastic Tobit models. The statistical properties of semiparametric and maximum likelihood estimators are evaluated. Correspondingt-test statistics are compared. Results from a Monte Carlo experiment indicate that the semiparametric estimator performs relatively better than the maximum likelihood estimator. The associatedt-test statistics appear to perform better than the corresponding maximum likelihood test statistics. *** DIRECT SUPPORT *** A06GP002 00008

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Amemiya, T. (1973) Regression analysis when the dependent variable is truncated normal,Econometrica 41, 997–1016.

    Article  MathSciNet  MATH  Google Scholar 

  • Amemiya, T. (1984) Tobit models: A survey,Journal of Econometrics 24, 3–61.

    Article  MathSciNet  MATH  Google Scholar 

  • Arabmazar, A. and P. Schmidt (1981) Further evidence on the robustness of the Tobit estimator to heteroskedasticity,Journal of Econometrics 17, 253–258.

    Article  MathSciNet  Google Scholar 

  • Arabmazar, A. and P. Schmidt (1982) An investigation of the robustness of the Tobit estimator to non-normality,Econometrica 50, 1055–1063.

    Article  MathSciNet  MATH  Google Scholar 

  • Brännäs, K. and T. Laitila (1987), Heteroskedasticity in the accelerated duration model,Rivista di Statistica Applicata 20, 219–230.

    Google Scholar 

  • Buckley, J. and I. James (1979) Linear regression with censored data,Biometrika 66, 429–436.

    Article  MATH  Google Scholar 

  • Chung, C-F. and A.S. Goldberger (1984) Proportional projections in limited dependent variable models,Econometrica 52, 531–534.

    Article  MathSciNet  MATH  Google Scholar 

  • Deaton, A. and M. Irish (1984) Statistical models for zero expenditures in household budgets,Journal of Public Economics 23, 59–80.

    Article  Google Scholar 

  • Eicker, F. (1963) Asymptotic normality and consistency of the least squares estimators for families of linear regressions,Annals of Mathematical Statistics 34, 447–456.

    Article  MathSciNet  MATH  Google Scholar 

  • Fair, R.C. (1977) A note on the computation of the Tobit estimator,Econometrica 45, 1723–1727.

    Article  MATH  Google Scholar 

  • Heckman, J.J. (1976) The common structure of statistical models of truncation, sample selection and limited dependent variables and a simple estimator for such models,Annals of Economic and Social Measurement 5, 475–492.

    Google Scholar 

  • Hendry, D.F. (1983) Monte Carlo experimentation in econometrics, in Griliches, Z. and M.D. Intriligator, eds.,Handbook of Econometrics, Volume 2, North-Holland, Amsterdam.

    Google Scholar 

  • Horowitz, J. (1986) A distribution-free least squares estimator for censored linear regression models,Journal of Econometrics 32, 59–84.

    Article  MathSciNet  MATH  Google Scholar 

  • Hurd, M. (1979) Estimation in truncated samples when there is heteroskedasticity,Journal of Econometrics 11, 247–258.

    Article  MathSciNet  MATH  Google Scholar 

  • James, I.R. and P.J. Schmidt (1984) Consistency results for linear regression with censored data,Annals of Statistics 12, 590–600.

    Article  MathSciNet  MATH  Google Scholar 

  • Kalbfleisch, J.D. and R.L. Prentice (1980)The Statistical Analysis of Failure Time Data, Wiley, New York.

    MATH  Google Scholar 

  • Kaplan, E.L. and P. Meier (1958) Nonparametric estimation from incomplete observations,Journal of the American Statistical Association 53, 457–481.

    Article  MathSciNet  MATH  Google Scholar 

  • MacKinnon, J.G. and H. White (1985) Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties,Journal of Econometrics 29, 305–325.

    Article  Google Scholar 

  • White, H. (1982) Maximum likelihood estimation of misspecified models,Econometrica 50, 1–25.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brännäs, K., Laitila, T. Heteroskedasticity in the Tobit model. Statistical Papers 30, 185–196 (1989). https://doi.org/10.1007/BF02924322

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02924322

Keywords

Navigation