The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Competing Risks Model

  • Gerard J. van den Berg
Reference work entry
DOI: https://doi.org/10.1057/978-1-349-95189-5_1983

Abstract

A competing risks model is a model for multiple durations that start at the same point in time for a given subject, where the subject is observed until the first duration is completed and one also observes which of the durations is completed first. This article gives an overview of the main issues in the empirical econometric analysis of competing risks models. The central problem is the non-identification of dependent competing risks models. Models with regressors can overcome this problem, but it is advisable to include additional data. Alternatively, effects of interest can be bounded.

Keywords

Bounds Censoring Competing risks models Copulas Duration models Hazard rates Identification Latent durations Marriage and divorce Maximum likelihood Mixed proportional hazard models Multiple-spell competing risks data Multivariate duration models Nonparametric kernel estimators Regressors Roy models Selection Semi-parametric models Stochastic dominance Unemployment durations Unobserved heterogeneity Weibull distributions 
This is a preview of subscription content, log in to check access

Bibliography

  1. Abbring, J., and G. van den Berg. 2003. The identifiability of the mixed proportional hazards competing risks model. Journal of the Royal Statistical Society, Series B 65: 701–710.CrossRefGoogle Scholar
  2. Bedford, T., and I. Meilijson. 1997. A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other. Annals of Statistics 25: 1622–1645.CrossRefGoogle Scholar
  3. Bond, S., and J. Shaw. 2006. Bounds on the covariate-time transformation for competing-risks survival analysis. Life time Data Analysis 12: 285–303.CrossRefGoogle Scholar
  4. Cox, D. 1959. The analysis of exponentially distributed life-times with two types of failure. Journal of the Royal Statistical Society, Series B 21: 411–421.Google Scholar
  5. Fermanian, J. 2003. Nonparametric estimation of competing risks models with covariates. Journal of Multivariate Analysis 85: 156–191.CrossRefGoogle Scholar
  6. Heckman, J., and B. Honoré. 1989. The identifiability of the competing risks model. Biometrika 76: 325–330.CrossRefGoogle Scholar
  7. Honoré, B., and A. Lleras-Muney. 2006. Bounds in competing risks models and the war on cancer. Econometrica 74: 1675–1698.CrossRefGoogle Scholar
  8. Moeschberger, M., and J. Klein. 1995. Statistical methods for dependent competing risks. Lifetime Data Analysis 1: 195–204.CrossRefGoogle Scholar
  9. Peterson, A. 1976. Bounds for a joint distribution function with fixed sub-distribution functions: application to competing risks. Proceedings of the National Academy of Sciences 73: 11–13.CrossRefGoogle Scholar
  10. van den Berg, G. 1990. Search behaviour, transitions to nonparticipation and the duration of unemployment. Economic Journal 100: 842–865.CrossRefGoogle Scholar
  11. van den Berg, G. 2001. Duration models: Specification, identification, and multiple durations. In Handbook of econometrics, ed. J. Heckman and E. Leamer, Vol. 5. Amsterdam: North-Holland.Google Scholar
  12. van den Berg, G., M. Lindeboom, and G. Ridder. 1994. Attrition in longitudinal panel data, and the empirical analysis of dynamic labour market behaviour. Journal of Applied Econometrics 9: 421–435.CrossRefGoogle Scholar
  13. van den Berg, G., van Lomwel, A., and van Ours, J. 2003. Nonparametric estimation of a dependent competing risks model for unemployment durations. Discussion Paper No. 898. Bonn: IZA.Google Scholar

Copyright information

© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Gerard J. van den Berg
    • 1
  1. 1.