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Optimally combining Censored and Uncensored Datasets

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Author Info
Paul J. Devereux (University College Dublin)
Gautam Tripathi (University of Connecticut)

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Abstract

We develop a simple semiparametric framework for combining censored and uncensored samples so that the resulting estimators are consistent, asymptotically normal, and use all information optimally. No nonparametric smoothing is required to implement our estimators. To illustrate our results in an empirical setting, we show how to estimate the effect of changes in compulsory schooling laws on age at first marriage, a variable that is censored for younger individuals. Results from a small simulation experiment suggest that the estimator proposed in this paper can work very well in finite samples.

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File URL: http://www.ucd.ie/economics/research/papers/2008/WP08.20.pdf
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Paper provided by School Of Economics, University College Dublin in its series Working Papers with number 200820.

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Length: 42 pages
Date of creation: 19 Sep 2008
Date of revision:
Handle: RePEc:ucn:wpaper:200820

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  1. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," Levine's Bibliography 321307000000000307, UCLA Department of Economics. [Downloadable!]
  2. Ted Bergstrom & Robert F. Schoeni, 1996. "Income prospects and age-at-marriage," Journal of Population Economics, Springer, vol. 9(2), pages 115-130.
  3. Powell, James L, 1986. "Symmetrically Trimmed Least Squares Estimation for Tobit Models," Econometrica, Econometric Society, vol. 54(6), pages 1435-60, November. [Downloadable!] (restricted)
  4. David Neumark & Sanders D. Korenman, 1988. "Does marriage really make men more productive?," Finance and Economics Discussion Series 29, Board of Governors of the Federal Reserve System (U.S.).
  5. Xiaohong Chen & Han Hong & Elie Tamer, 2005. "Measurement Error Models with Auxiliary Data," Review of Economic Studies, Blackwell Publishing, vol. 72(2), pages 343-366, 04. [Downloadable!] (restricted)
  6. Lance Lochner & Enrico Moretti, 2004. "The Effect of Education on Crime: Evidence from Prison Inmates, Arrests, and Self-Reports," American Economic Review, American Economic Association, vol. 94(1), pages 155-189, March. [Downloadable!]
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  7. Judith K. Hellerstein & Guido W. Imbens, 1999. "Imposing Moment Restrictions From Auxiliary Data By Weighting," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 1-14, February. [Downloadable!] (restricted)
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  8. Ridder, Geert & Moffitt, Robert, 2007. "The Econometrics of Data Combination," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 75 Elsevier. [Downloadable!] (restricted)
  9. Lleras-Muney, Adriana, 2002. "Were Compulsory Attendance and Child Labor Laws Effective? An Analysis from 1915 to 1939," Journal of Law & Economics, University of Chicago Press, vol. 45(2), pages 401-35, October.
  10. 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)
  11. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," Cowles Foundation Discussion Papers 1569, Cowles Foundation, Yale University. [Downloadable!]
  12. Keisuke Hirano & Guido W. Imbens & Geert Ridder & Donald B. Rubin, 2001. "Combining Panel Data Sets with Attrition and Refreshment Samples," Econometrica, Econometric Society, vol. 69(6), pages 1645-1659, November. [Downloadable!] (restricted)
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  13. Oreopoulos, Philip, 2007. "Do dropouts drop out too soon? Wealth, health and happiness from compulsory schooling," Journal of Public Economics, Elsevier, vol. 91(11-12), pages 2213-2229, December. [Downloadable!] (restricted)
  14. Bergstrom, T & Schoeni, R-F, 1996. "Income Prospects and Age-at-Marriage," Papers 96-18, RAND - Reprint Series.
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  15. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, 01. [Downloadable!] (restricted)
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  16. Severini, Thomas A. & Tripathi, Gautam, 2001. "A simplified approach to computing efficiency bounds in semiparametric models," Journal of Econometrics, Elsevier, vol. 102(1), pages 23-66, May. [Downloadable!] (restricted)
  17. Guido W. Imbens & Richard H. Spady & Phillip Johnson, 1998. "Information Theoretic Approaches to Inference in Moment Condition Models," Econometrica, Econometric Society, vol. 66(2), pages 333-358, March.
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  18. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," CIRJE F-Series CIRJE-F-430, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  19. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61. [Downloadable!] (restricted)
  20. Nevo, Aviv, 2003. "Using Weights to Adjust for Sample Selection When Auxiliary Information Is Available," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 43-52, January.
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  21. SandraE. Black & PaulJ. Devereux & KjellG. Salvanes, 2008. "Staying in the Classroom and out of the maternity ward? The effect of compulsory schooling laws on teenage births," Economic Journal, Royal Economic Society, vol. 118(530), pages 1025-1054, 07. [Downloadable!] (restricted)
  22. Arellano, Manuel & Meghir, Costas, 1992. "Female Labour Supply and On-the-Job Search: An Empirical Model Estimated Using Complementary Data Sets," Review of Economic Studies, Blackwell Publishing, vol. 59(3), pages 537-59, July. [Downloadable!] (restricted)
  23. Geert Ridder & Yingyao Hu, 2004. "Estimation of Nonlinear Models with Measurement Error Using Marginal Information," Econometric Society 2004 North American Summer Meetings 21, Econometric Society. [Downloadable!]
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