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Estimators of Regression Parameters for Truncated and Censored Data

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Abstract

Estimators of parameters in semi-parametric left truncated and right censored regression models are proposed. In contrast to the majority of existing estimators, the proposed estimators do not require the error term of the regression model to have a symmetric distribution. In addition the estimators use asymmetric “trimming” of observations. Consistency and asymptotic normality of the estimators are shown. Finite sample properties are considered in a small simulation study. For the left truncated case, an empirical application illustrates the usefulness of the estimator.

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References

  • Battese GE (1997) A note on the estimation of Cobb–Douglas production functions when some explanatory variables have zero values. J Agric Econ 48:250–252

    Article  Google Scholar 

  • Brännäs K, Laitila T (1991) Modelling and prediction of travel distances by car. Transportation Plann Technol 16:129–143

    Article  Google Scholar 

  • Buchinsky M (1995) Estimating the asymptotic covariance matrix for quantile regression models: a Monte Carlo study. J Econom 68:303–338

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  • Chay KY, Powell JL (2001) Semiparametric censored regression models. J Econ Perspect 15:29–42

    Article  Google Scholar 

  • Hahn, J (1995) Bootstrapping quantile regression estimators. Econom Theory 11:105–121

    Google Scholar 

  • Honoré BE, Powell JL (1994) Pairwise difference estimators for censored and truncated regression models. J Econom 64:241–278

    Article  MATH  Google Scholar 

  • Karlsson M (2004) Finite sample properties of the QME. Commun Stat Sim Comput 33:567–583

    Article  MathSciNet  MATH  Google Scholar 

  • Laitila T (2001) Properties of the QME under asymmetrically distributed disturbances. Stat Probab Lett 52:347–352

    Article  MathSciNet  MATH  Google Scholar 

  • Lee MJ (1992) Winsorized mean estimator for censored regression. Econom Theory 8:368–382

    Google Scholar 

  • Lee MJ (1993) Quadratic mode regression. J Econom 57:1–19

    Article  MATH  Google Scholar 

  • Lee MJ, Kim H (1998) Semiparametric econometric estimation for a truncated regression model: a review with an extension. Statistica Neerlandica 52:200–225

    Article  MATH  Google Scholar 

  • Miller RG (1976) Least squares regression with censored data. Biometrika 63:449–464

    Article  MathSciNet  MATH  Google Scholar 

  • Newey WK (2001) Conditional moment restrictions in censored and truncated regression models. Econom Theory 17:863–888

    Article  MathSciNet  MATH  Google Scholar 

  • Powell JL (1984) Least absolute deviation estimation for the censored regression model. J Econom 25:303–325

    Article  MathSciNet  MATH  Google Scholar 

  • Powell JL (1986) Symmetrically trimmed least squares estimation for tobit models. Econometrica 54:1435–1460

    Article  MathSciNet  MATH  Google Scholar 

  • Powell JL (1994) Estimation of semiparametric models. In: Engel RF, McFadden DL (eds) Handbook of econometrics, vol 4. North-Holland, Amsterdam, pp 2444–2521

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Correspondence to Maria Karlsson.

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Karlsson, M. Estimators of Regression Parameters for Truncated and Censored Data. Metrika 63, 329–341 (2006). https://doi.org/10.1007/s00184-005-0023-x

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  • DOI: https://doi.org/10.1007/s00184-005-0023-x

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