Truncated dependent variable

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In econometrics, truncated dependent variables are variables for which observations cannot be made for certain values in some range.[1] Regression models with such dependent variables require special care that properly recognizes the truncated nature of the variable. Estimation of such truncated regression model can be done in parametric [2] [3] or semi- and non-parametric frameworks. [4] [5]


References

  1. ""Truncated Dependent Variables"". About.com. http://economics.about.com/od/economicsglossary/g/truncated.htm. Retrieved 2008-03-22. 
  2. Amemiya, T. (1973): “Regression Analysis When the Dependent Variable is Truncated Normal,” Econometrica, 41, 997–1016.
  3. 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, 15, 475–492.
  4. Lewbel, A. and O. Linton, (2002), Nonparametric censored and truncated regression, Econometrica, 70, 765–779.
  5. Park, B.U., L. Simar, and V. Zelenyuk (2008). "Local likelihood estimation of truncated regression and its partial derivatives: Theory and application," Journal of Econometrics 146(1), pages 185-198.