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Identification of a competing risks model with unknown transformations of latent failure times

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  • Sokbae 'Simon' Lee

    ()
    (Institute for Fiscal Studies and University College London)

Abstract

This paper is concerned with identification of a competing risks model with unknown transformations of latent failure times. The model in this paper includes, as special cases, competing risks versions of proportional hazards, mixed proportional hazards, and accelerated failure time models. It is shown that covariate effects on latent failure times, cause-specific link functions, and the joint survivor function of the disturbance terms can be identified without relying on modelling the dependence between latent failure times parametrically nor using an exclusion restriction among covariates. As a result, the paper provides an identification result on the joint survivor function of the latent failure times conditional on covariates.

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File URL: http://cemmap.ifs.org.uk/wps/cwp1705.pdf
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Bibliographic Info

Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP17/05.

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Length: 12 pp.
Date of creation: Nov 2005
Date of revision:
Handle: RePEc:ifs:cemmap:17/05

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Postal: The Institute for Fiscal Studies 7 Ridgmount Street LONDON WC1E 7AE
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Postal: The Institute for Fiscal Studies 7 Ridgmount Street LONDON WC1E 7AE
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Related research

Keywords: Competing risks model; Identification; Transformation model;

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References

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  1. Tue Gorgens & Joel L. Horowitz, 1996. "Semiparametric Estimation of a Censored Regression Model with an Unknown Transformation of the Dependent Variable," Econometrics 9603001, EconWPA.
  2. Horowitz, Joel L. & Lee, Sokbae, 2004. "Semiparametric estimation of a panel data proportional hazards model with fixed effects," Journal of Econometrics, Elsevier, vol. 119(1), pages 155-198, March.
  3. Bo E. Honore & Adriana Lleras Muney, 2004. "Bounds in Competing Risks Models and the War on Cancer," NBER Working Papers 10963, National Bureau of Economic Research, Inc.
  4. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
  5. Horowitz, Joel L, 1996. "Semiparametric Estimation of a Regression Model with an Unknown Transformation of the Dependent Variable," Econometrica, Econometric Society, vol. 64(1), pages 103-37, January.
  6. Bo E. Honoré & Adriana Lleras-Muney, 2004. "Bounds in Competing Risks Models and the War on Cancer," CAM Working Papers 2004-08, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
  7. Horowitz, Joel L, 2001. "Nonparametric Estimation of a Generalized Additive Model with an Unknown Link Function," Econometrica, Econometric Society, vol. 69(2), pages 499-513, March.
  8. Fermanian, Jean-David, 2003. "Nonparametric estimation of competing risks models with covariates," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 156-191, April.
  9. Jaap H. Abbring & Gerard J. van den Berg, 2003. "The identifiability of the mixed proportional hazards competing risks model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(3), pages 701-710.
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Citations

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Cited by:
  1. Horny, G. & Picchio, M., 2009. "Identification of lagged duration dependence in multiple-spell competing risks models," Working papers 260, Banque de France.
  2. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2008. "Nonparametric Identification and Estimation in a Generalized Roy Model," NBER Working Papers 13949, National Bureau of Economic Research, Inc.
  3. Arnaud Maurel & Xavier D'Haultfoeuille, 2011. "Inference on an Extended Roy Model, with an Application to Schooling Decisions in France," Working Papers 11-10, Duke University, Department of Economics.
  4. Christian N. Brinch, 2009. "Non-parametric identication of the mixed proportional hazards model with interval-censored durations," Discussion Papers 600, Research Department of Statistics Norway.

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