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Mixed hitting-time models

  • Jaap Abbring

    (Institute for Fiscal Studies and Tinbergen Institute)

We study a mixed hitting-time (MHT) model that specifies durations as the first time a Levy process - a continuous-time process with stationary and independent increments - crosses a heterogeneous threshold. Such models are of substantial interest because they can be reduced from optimal-stopping models with heterogeneous agents that do not naturally produce a mixed proportional hazards (MPH) structure. We show how strategies for analyzing the MPH model's identifiability can be adapted to prove identifiability of an MHT model with observed regressors and unobserved heterogeneity. We discuss inference from censored data and extensions to time-varying covariates and latent processes with more general time and dependency structures. We conclude by discussing the relative merits of the MHT and MPH models as complementary frameworks for econometric duration analysis.

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File URL: http://cemmap.ifs.org.uk/wps/cwp1507.pdf
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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP15/07.

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Date of creation: Jul 2007
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Handle: RePEc:ifs:cemmap:15/07
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  18. Chris Elbers & Geert Ridder, 1982. "True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model," Review of Economic Studies, Oxford University Press, vol. 49(3), pages 403-409.
  19. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-38, June.
  20. Moffitt, Robert & Nicholson, Walter, 1982. "The Effect of Unemployment Insurance on Unemployment: The Case of Federal Supplemental Benefits," The Review of Economics and Statistics, MIT Press, vol. 64(1), pages 1-11, February.
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  23. 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.
  24. Abbring, Jaap H., 2002. "Stayers versus defecting movers: a note on the identification of defective duration models," Economics Letters, Elsevier, vol. 74(3), pages 327-331, February.
  25. Dale T. Mortensen & Christopher A. Pissarides, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 397-415.
  26. Abbring, J.H. & Ridder, G., 2011. "Regular Variation and the Identification of Generalized Accelerated Failure-Time Models," Discussion Paper 2011-135, Tilburg University, Center for Economic Research.
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