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NONPARAMETRIC IDENTIFICATION OF LATENT COMPETING RISKS MODELS

Published online by Cambridge University Press:  01 October 2004

Gordana Colby
Affiliation:
York University
Paul Rilstone
Affiliation:
York University

Abstract

This paper shows that nonparametric identification of latent competing risks models is possible without the usual conditional independence and exclusion restrictions.The authors thank Jinyong Hahn, James Heckman, and Shinichi Sakata for useful discussions on the subject matter of this paper. Any errors are the fault of the authors. Research funding for Rilstone was provided by the Social Sciences and Humanities Research Council of Canada.

Type
Research Article
Copyright
© 2004 Cambridge University Press

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References

REFERENCES

Abbring, J.H. & G.J. van den Berg (2003) The identifiability of the mixed proportional hazards competing risks model. Journal of the Royal Statistical Society Series B 65, 701710.Google Scholar
Cox, D.R. (1962) Renewal Theory. Methuen.
Elbers, C. & G. Ridder (1982) True and spurious duration dependence: The identifiability of the proportional hazard model. Review of Economic Studies 49, 403410.Google Scholar
Heckman, J.J. (1990) Varieties of selection bias. American Economic Review, Papers and Proceedings, 313318.Google Scholar
Heckman, J.J. & B.E. Honoré (1989) The identifiability of the competing risks model. Biometrica 76, 325330.Google Scholar
Heckman, J.J. & B.E. Honoré (1990) The empirical content of the Roy model. Econometrica 58, 11211149.Google Scholar
Lee, E.T. (1992) Statistical Methods for Survival Data Analysis. Wiley.
Lee, L.F. & R.H. Porter (1984) Switching regression models with imperfect sample separation information: With an application on Cartel stability. Econometrica 52, 391418.Google Scholar
Maddala, G.S. (1986) Disequilibrium, self-selection, and switching models. In Z. Griliches & M.D. Intriligator (eds.), Handbook of Econometrics, vol. 3, pp. 16331688. North-Holland.
Meeker, W.Q. & L.A. Escobar (1998) Statistical Methods for Reliability Data. Wiley.
Omori, Y. (1998) The identifiability of independent competing risks models with multiple spells. Oxford Bulletin of Economics and Statistics 60, 107116.Google Scholar
Paric, Gordana & Paul Rilstone (1998) Structural Estimation of Psychiatric Hospital Stays. Working paper, York University.
Paric, Gordana & Paul Rilstone (1999) Nonparametric Identification of Latent Competing Risks and Roy Duration Models. Working paper, York University.
Paric, Gordana & Paul Rilstone (2000) Simplified Estimation of Multivariate Duration Models with Unobserved Heterogeneity. Working paper, York University.
Roy, A.D. (1951) Some thoughts on the distribution of earnings. Oxford Economic Papers, n.s., 3, 135146.Google Scholar
Tsiatis, A. (1978) A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Academy of Sciences 72, 2022.Google Scholar