Marker Models in Survival Analysis and Applications to Issues Associated with AIDS

  • Nicholas P. Jewell
  • John D. Kalbfleisch


Jewell and Kalbfleisch (1992) consider the use of marker processes for applications related to estimation of the survival distribution of time to failure. Marker processes were assumed to be stochastic processes which, at a given point in time, provide information about the current hazard and consequently on the remaining time to failure. Particular attention was paid to calculations based on a simple additive model for the relationship between the hazard function at time t and the history of the marker process up until time t. Specific applications to the analysis of AIDS data included the use of markers as surrogate responses for onset of AIDS with censored data and as predictors of the time elapsed since infection in prevalent individuals. Here we review recent work on the use of marker data to tackle these kinds of problems with AIDS data. The Poisson marker process with an additive model, introduced in Jewell and Kalbfleisch (1992) may be a useful “test” example for comparison of various procedures.


Hazard Function Failure Time Sample Path Acquire Immune Deficiency Syndrome Residual Life 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Nicholas P. Jewell
    • 1
  • John D. Kalbfleisch
    • 2
  1. 1.Group in BiostatisticsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of Statistics & Actuarial ScienceUniversity of WaterlooWaterlooCanada

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