Dependent Competing Risks with Time-Dependent Covariates

  • Eric V. Slud
  • Leonid Kopylev


This paper discusses two mechanisms with time-dependent covariates for dependence between competing-risk latent failure times under which the marginal survival functions are identifiable. The first is the finite-state nonhomogeneous Markov chain with two absorbing failure states, A and B, where “marginal survival function for A” is the probability that failure due to A does not occur before t when transitions to B are suppressed. Even in highly stratified models, the nonparametric survival estimator due to Aalen & Johansen (1978) is readily computable when transitions between each pair (i,j) states can occur only in one direction.


Markov Chain Model Chronological Time Crude Survival Nonparametric Maximum Likelihood Estimator Compete Risk Data 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Eric V. Slud
    • 1
  • Leonid Kopylev
    • 1
  1. 1.Department of MathematicsUniversity of Maryland at College ParkCollege ParkUSA

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