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

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  • Sokbae Lee

Abstract

This paper is concerned with identification of a competing risks model with unknown transformations of latent failure times. The model 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 about the joint survivor function of the latent failure times conditional on covariates. Copyright 2006, Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/biomet/93.4.996
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Bibliographic Info

Article provided by Biometrika Trust in its journal Biometrika.

Volume (Year): 93 (2006)
Issue (Month): 4 (December)
Pages: 996-1002

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Handle: RePEc:oup:biomet:v:93:y:2006:i:4:p:996-1002

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References

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  1. 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.
  2. Joel Horowitz & Sokbae 'Simon' Lee, 2002. "Semiparametric estimation of a panel data proportional hazards model with fixed effects," CeMMAP working papers CWP21/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  3. 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.
  4. Horowitz, J. & Gorgens, T., 1995. "Semiparametric Estimation of a Censored Regression Model with an Unknown Transformation of the Dependent Variable," Working Papers 95-15, University of Iowa, Department of Economics.
  5. 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.
  6. Fermanian, Jean-David, 2003. "Nonparametric estimation of competing risks models with covariates," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 156-191, April.
  7. 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.
  8. 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.
  9. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
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Cited by:
  1. D’Haultfœuille, Xavier & Maurel, Arnaud, 2013. "Inference on an extended Roy model, with an application to schooling decisions in France," Journal of Econometrics, Elsevier, vol. 174(2), pages 95-106.
  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. Horny, Guillaume & Picchio, Matteo, 2010. "Identification of lagged duration dependence in multiple-spell competing risks models," Economics Letters, Elsevier, vol. 106(3), pages 241-243, March.
  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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