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The Unobserved Heterogeneity Distribution in Duration Analysis

  • Abbring, Jaap H
  • van den Berg, Gerard J

In a large class of hazard models with proportional unobserved heterogeneity, the distribution of the heterogeneity among survivors converges to a gamma distribution. This convergence is often rapid. We derive this result as a general result for exponential mixtures and explore its implications for the specification and empirical analysis of univariate and multivariate duration models.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6219.

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Date of creation: Mar 2007
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Handle: RePEc:cpr:ceprdp:6219
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  1. Newman, John L & McCulloch, Charles E, 1984. "A Hazard Rate Approach to the Timing of Births," Econometrica, Econometric Society, vol. 52(4), pages 939-61, July.
  2. Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
  3. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460 Elsevier.
  4. Nickell, Stephen J, 1979. "Estimating the Probability of Leaving Unemployment," Econometrica, Econometric Society, vol. 47(5), pages 1249-66, September.
  5. Meyer, Bruce D, 1990. "Unemployment Insurance and Unemployment Spells," Econometrica, Econometric Society, vol. 58(4), pages 757-82, July.
  6. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
  7. Elbers, Chris & Ridder, Geert, 1982. "True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model," Review of Economic Studies, Wiley Blackwell, vol. 49(3), pages 403-09, July.
  8. Michael Baker & Angelo Melino, 1999. "Duration Dependence and Nonparametric Heterogeneity: A Monte Carlo Study," Working Papers melino-99-01, University of Toronto, Department of Economics.
  9. James J. Heckman & Christopher R. Taber, 1994. "Econometric Mixture Models and More General Models for Unobservables in Duration Analysis," NBER Technical Working Papers 0157, National Bureau of Economic Research, Inc.
  10. Lee Lillard & Constantijn Panis, 1996. "Marital status and mortality: The role of health," Demography, Springer, vol. 33(3), pages 313-327, August.
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