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Semiparametric Censored Regression Models

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Author Info
Kenneth Y. Chay
James L. Powell
Abstract

When data are censored, ordinary least squares regression can provide biased coefficient estimates. Maximum likelihood approaches to this problem are valid only if the error distribution is correctly specified, which can be problematic in practice. We review several semiparametric estimators for the censored regression model that do not require parameterization of the error distribution. These estimators are used to examine changes in black-white earnings inequality during the 1960s based on censored tax records. The results show that there was significant earnings convergence among black and white men in the American South after the passage of the 1964 Civil Rights Act.

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Publisher Info
Article provided by American Economic Association in its journal Journal of Economic Perspectives.

Volume (Year): 15 (2001)
Issue (Month): 4 (Fall)
Pages: 29-42
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Handle: RePEc:aea:jecper:v:15:y:2001:i:4:p:29-42

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 120-137 National Bureau of Economic Research, Inc. [Downloadable!]
  2. Powell, James L, 1986. "Symmetrically Trimmed Least Squares Estimation for Tobit Models," Econometrica, Econometric Society, vol. 54(6), pages 1435-60, November. [Downloadable!] (restricted)
  3. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  4. Honore, Bo E. & Kyriazidou, Ekaterini & Udry, Christopher, 1997. "Estimation of Type 3 Tobit models using symmetric trimming and pairwise comparisons," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 107-128. [Downloadable!] (restricted)
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  5. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation, Yale University. [Downloadable!]
  6. Newey, Whitney K & Powell, James L & Walker, James R, 1990. "Semiparametric Estimation of Selection Models: Some Empirical Results," American Economic Review, American Economic Association, vol. 80(2), pages 324-28, May. [Downloadable!] (restricted)
  7. Powell, James L., 1984. "Least absolute deviations estimation for the censored regression model," Journal of Econometrics, Elsevier, vol. 25(3), pages 303-325, July. [Downloadable!] (restricted)
  8. Powell, James L., 1986. "Censored regression quantiles," Journal of Econometrics, Elsevier, vol. 32(1), pages 143-155, June. [Downloadable!] (restricted)
  9. Newey, Whitney K., 1987. "Specification tests for distributional assumptions in the Tobit model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 125-145. [Downloadable!] (restricted)
  10. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January. [Downloadable!] (restricted)
  11. Honore, Bo E, 1992. "Trimmed LAD and Least Squares Estimation of Truncated and Censored Regression Models with Fixed Effects," Econometrica, Econometric Society, vol. 60(3), pages 533-65, May. [Downloadable!] (restricted)
  12. repec:att:wimass:19901 is not listed on IDEAS
  13. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-99, July. [Downloadable!] (restricted)
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  1. Mitali Das, 2002. "Estimators and inference in a censored regression model with endogenous covariates," Discussion Papers 0102-61, Columbia University, Department of Economics. [Downloadable!]
  2. Martin Gaynor & Jian Li & William B. Vogt, 2006. "Is Drug Coverage a Free Lunch? Cross-Price Elasticities and the Design of Prescription Drug Benefits," NBER Working Papers 12758, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. A'Hearn, Brian & Komlos, John, 2003. "Improvements in Maximum Likelihood Estimators of Truncated Normal Samples with Prior Knowledge of σ," Discussion Papers in Economics 51, University of Munich, Department of Economics. [Downloadable!]
  4. Christina Paxson & Norbert Schady, 2005. "Cognitive Development Among Young Children in Ecuador: The Roles of Wealth, Health and Parenting," Working Papers 239, Princeton University, Woodrow Wilson School of Public and International Affairs, Center for Health and Wellbeing.. [Downloadable!]
    Other versions:
  5. Alejandro Cid & Daniel Ferres & Máximo Rossi, 2008. "Subjective Well-Being in the Southern Cone: Health, Income and Family," Documentos de Trabajo (working papers) 1308, Department of Economics - dECON. [Downloadable!]
  6. José M. Labeaga & Xisco Oliver & Amedeo Spadaro, . "Measuring Changes in Health Capital," Working Papers 2005-15, FEDEA. [Downloadable!]
  7. David A. Reinstein, 2006. "Does One Contribution Come at the Expense of Another? Empirical Evidence on Substitution Between Charitable Donations," Economics Discussion Papers 618, University of Essex, Department of Economics. [Downloadable!]
  8. T Robert Fetter & Michael Ash, 2002. "Who Lives on the Wrong Side of the Environmental Tracks? Evidence from the EPA's Risk-Screening Environmental Indicators Model," Working Papers wp50, Political Economy Research Institute, University of Massachusetts at Amherst. [Downloadable!]
  9. Will Martin & Cong S. Pham, 2008. "Estimating the Gravity Model When Zero Trade Flows are Frequent," Economics Series 2008_03, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance. [Downloadable!]
  10. Mitali Das, 2002. "Minimum distance estimators for nonparametric models with grouped dependent," Discussion Papers 0102-41, Columbia University, Department of Economics. [Downloadable!]
  11. Wojciech Kopczuk, 2006. "Bequest and Tax Planning: Evidence From Estate Tax Returns," NBER Working Papers 12701, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  12. Guillermo Cruces & Quentin T. Wodon, 2003. "Transient and chronic poverty in turbulent times: Argentina 1995-2002," Economics Bulletin, Economics Bulletin, vol. 9(3), pages 1-12. [Downloadable!]
  13. Monique de Haan & Erik Plug, 2006. "Estimates of the Effect of Parents’ Schooling on Children’s Schooling Using Censored and Uncensored Samples," IZA Discussion Papers 2416, Institute for the Study of Labor (IZA). [Downloadable!]
  14. Alejandro Cid & Daniel Ferrés & Máximo Rossi, 2007. "Testing Happiness Hypothesis among the Elderly," Documentos de Trabajo (working papers) 1207, Department of Economics - dECON. [Downloadable!]
    Other versions:
  15. Booth, Alison L. & Francesconi, Marco & Zoega, Gylfi, 2003. "Unions, Work-Related Training, and Wages: Evidence for British Men," IZA Discussion Papers 737, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  16. Anil Kumar, 2005. "Nonparametric estimation of the impact of taxes on female labor supply," Working Papers 05-05, Federal Reserve Bank of Dallas. [Downloadable!]
  17. Schady, Norbert & Araujo, Maria Caridad, 2006. "Cash transfers, conditions, school enrollment, and child work : evidence from a randomized experiment in Ecuador," Policy Research Working Paper Series 3930, The World Bank. [Downloadable!]
  18. Maria Karlsson, 2006. "Estimators of Regression Parameters for Truncated and Censored Data," Metrika, Springer, vol. 63(3), pages 329-341, June. [Downloadable!] (restricted)
  19. Martin, Will & Pham, Cong S., 2008. "Estimating the Gravity Equation when Zero Trade Flows are Frequent," MPRA Paper 9453, University Library of Munich, Germany. [Downloadable!]
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