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Optimally combining Censored and Uncensored Datasets

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  • Paul J. Devereux

    (University College Dublin)

  • Gautam Tripathi

    (University of Connecticut)

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
File Function: First version, 2008
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Bibliographic Info

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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Postal: UCD, Belfield, Dublin 4
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References

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  1. Sanders Korenman & David Neumark, 1990. "Marriage, Motherhood, and Wages," NBER Working Papers 3473, National Bureau of Economic Research, Inc.
  2. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," Levine's Bibliography 321307000000000307, UCLA Department of Economics.
  3. Ted Bergstrom & Robert Schoeni, 1996. "Income prospects and age-at-marriage," Journal of Population Economics, Springer, vol. 9(2), pages 115-130, June.
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  7. repec:bla:restud:v:72:y:2005:i:2:p:343-366 is not listed on IDEAS
  8. Guggenberger, Patrik & Smith, Richard J., 2005. "Generalized Empirical Likelihood Estimators And Tests Under Partial, Weak, And Strong Identification," Econometric Theory, Cambridge University Press, vol. 21(04), pages 667-709, August.
  9. Claudia Goldin & Lawrence F. Katz, 2002. "The Power of the Pill: Oral Contraceptives and Women's Career and Marriage Decisions," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 730-770, August.
  10. Akerlof, George A, 1998. "Men without Children," Economic Journal, Royal Economic Society, vol. 108(447), pages 287-309, March.
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  14. Lleras-Muney, Adriana, 2002. "Were Compulsory Attendance and Child Labor Laws Effective? An Analysis from 1915 to 1939," Journal of Law and Economics, University of Chicago Press, vol. 45(2), pages 401-35, October.
  15. Aviv Nevo, 2001. "Using Weights to Adjust for Sample Selection When Auxiliary Information is Available," NBER Technical Working Papers 0275, National Bureau of Economic Research, Inc.
  16. Xiaohong Chen & Han Hong & Alessandro Tarozzi, 2008. "Semiparametric Efficiency in GMM Models of Nonclassical Measurement Errors, Missing Data and Treatment Effects," Cowles Foundation Discussion Papers 1644, Cowles Foundation for Research in Economics, Yale University.
  17. Keisuke Hirano & Guido W. Imbens & Geert Ridder & Donald B. Rebin, 1998. "Combining Panel Data Sets with Attrition and Refreshment Samples," NBER Technical Working Papers 0230, National Bureau of Economic Research, Inc.
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  22. 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.
  23. 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.
  24. Daron Acemoglu & Joshua Angrist, 2001. "How Large are Human-Capital Externalities? Evidence from Compulsory-Schooling Laws," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 9-74 National Bureau of Economic Research, Inc.
  25. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," CIRJE F-Series CIRJE-F-430, CIRJE, Faculty of Economics, University of Tokyo.
  26. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
  27. 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.
  28. M Arellano & Costas Megir & Mary Silles, 1990. "Female Labour Supply and On-the-Job Search: An Empirical Model Estimated using Complementary Data Sets," CEP Discussion Papers dp0009, Centre for Economic Performance, LSE.
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  30. 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.
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Citations

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Cited by:
  1. Maria K. Humlum & Jannie H.G. Kristoffersen & Rune Vejlin, 2012. "Timing of College Enrollment and Family Formation Decisions," Economics Working Papers 2012-01, School of Economics and Management, University of Aarhus.
  2. Powdthavee, Nattavudh & Adireksombat, Kampon, 2010. "From Classroom to Wedding Aisle: The Effect of a Nationwide Change in the Compulsory Schooling Law on Age at First Marriage in the UK," IZA Discussion Papers 5019, Institute for the Study of Labor (IZA).

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