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Instrumental variable estimation for duration data

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Author Info
Bijwaard, G.E. (Erasmus Econometric Institute)

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Abstract

In this article we focus on duration data with an endogenous variable for which an instrument is available. In duration analysis the covariates and/or the effect of the covariates may vary over time. Another complication of duration data is that they are usually heavy censored. The hazard rate is invariant to censoring. Therefore, a natural choice is to model the hazard rate instead of the mean. We develop an Instrumental Variable estimation procedure for the Generalized Accelerated Failure Time (GAFT) model. The GAFT model is a duration data model that encompasses two competing approaches to such data; the (Mixed) Proportional Hazard (MPH) model and the Accelerated Failure Time (AFT) model. We discuss the large sample properties of this Instrumental Variable Linear Rank (IVLR) estimation based on counting process theory. We show that choosing the right weight function in the IVLR can improve its efficiency. We discuss the implementation of the estimator and apply it to the Illinois re-employment bonus experiment.

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Publisher Info
Paper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number EI 2007-14 Revision_Date: 2009-07-29.

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Date of creation: 24 Apr 2007
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Handle: RePEc:dgr:eureir:1765009779

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Keywords: endogenous variable; duration model; censoring; instrumental variable;

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References listed on IDEAS
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. Koenker R. & Geling O., 2001. "Reappraising Medfly Longevity: A Quantile Regression Survival Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 458-468, June. [Downloadable!] (restricted)
  2. Van den Berg, Gerard J., 2000. "Duration Models: Specification, Identification, and Multiple Durations," MPRA Paper 9446, University Library of Munich, Germany. [Downloadable!]
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  3. Jaap H. Abbring & Gerard J. Berg & Jan C. Ours, 2005. "The Effect of Unemployment Insurance Sanctions on the Transition Rate from Unemployment to Employment," Economic Journal, Royal Economic Society, vol. 115(505), pages 602-630, 07. [Downloadable!] (restricted)
    Other versions:
  4. Gerard J. van den Berg & Bas van der Klaauw & Jan C. van Ours, 1998. "Punitive Sanctions and the Transition Rate from Welfare to Work," Tinbergen Institute Discussion Papers 98-076/3, Tinbergen Institute. [Downloadable!]
  5. Gerard J. van den Berg & Bas van der Klaauw & Jan C. van Ours, 2004. "Punitive Sanctions and the Transition Rate from Welfare to Work," Journal of Labor Economics, University of Chicago Press, vol. 22(1), pages 211-210, January. [Downloadable!]
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  6. Jaap Abbring & Gerard van den Berg, 2005. "Social experiments and instrumental variables with duration outcomes," IFS Working Papers W05/19, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  7. Bijwaard, Govert E. & Ridder, Geert, 2005. "Correcting for selective compliance in a re-employment bonus experiment," Journal of Econometrics, Elsevier, vol. 125(1-2), pages 77-111. [Downloadable!] (restricted)
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  8. Rafael Lalive & Jan C. van Ours & Josef Zweimüller, 2005. "The Effect Of Benefit Sanctions On The Duration Of Unemployment," Journal of the European Economic Association, MIT Press, vol. 3(6), pages 1386-1417, December. [Downloadable!] (restricted)
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  9. Han, Aaron K., 1987. "Non-parametric analysis of a generalized regression model : The maximum rank correlation estimator," Journal of Econometrics, Elsevier, vol. 35(2-3), pages 303-316, July. [Downloadable!] (restricted)
  10. Ridder, Geert, 1990. "The Non-parametric Identification of Generalized Accelerated Failure-Time Models," Review of Economic Studies, Blackwell Publishing, vol. 57(2), pages 167-81, April. [Downloadable!] (restricted)
  11. Angrist, Joshua D. & Krueger, Alan B., 1999. "Empirical strategies in labor economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 23, pages 1277-1366 Elsevier. [Downloadable!] (restricted)
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  12. Woodbury, Stephen A & Spiegelman, Robert G, 1987. "Bonuses to Workers and Employers to Reduce Unemployment: Randomized Trials in Illinois," American Economic Review, American Economic Association, vol. 77(4), pages 513-30, September. [Downloadable!] (restricted)
  13. Geert Ridder & Tiemen Woutersen, 2001. "The Singularity of the Efficiency Bound of the Mixed Proportional Hazard Model," UWO Department of Economics Working Papers 20019, University of Western Ontario, Department of Economics. [Downloadable!]
  14. Yannis Bilias & Roger Koenker, 2001. "Quantile regression for duration data: A reappraisal of the Pennsylvania Reemployment Bonus Experiments," Empirical Economics, Springer, vol. 26(1), pages 199-220. [Downloadable!] (restricted)
  15. Meyer, Bruce D, 1996. "What Have We Learned from the Illinois Reemployment Bonus Experiment?," Journal of Labor Economics, University of Chicago Press, vol. 14(1), pages 26-51, January. [Downloadable!] (restricted)
  16. Moffitt, Robert, 1983. "An Economic Model of Welfare Stigma," American Economic Review, American Economic Association, vol. 73(5), pages 1023-35, December. [Downloadable!] (restricted)
  17. Jaap H. Abbring & Gerard J. van den Berg, 2003. "The Nonparametric Identification of Treatment Effects in Duration Models," Econometrica, Econometric Society, vol. 71(5), pages 1491-1517, 09. [Downloadable!] (restricted)
  18. Ham, John C & LaLonde, Robert J, 1996. "The Effect of Sample Selection and Initial Conditions in Duration Models: Evidence from Experimental Data on Training," Econometrica, Econometric Society, vol. 64(1), pages 175-205, January. [Downloadable!] (restricted)
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  1. Jaap Abbring & Gerard van den Berg, 2005. "Social experiments and instrumental variables with duration outcomes," IFS Working Papers W05/19, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
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