Mathematics – Statistics Theory
Scientific paper
2009-03-03
Annals of Statistics 2009, Vol. 37, No. 1, 394-426
Mathematics
Statistics Theory
Published in at http://dx.doi.org/10.1214/07-AOS554 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Scientific paper
10.1214/07-AOS554
For time-to-event data with finitely many competing risks, the proportional hazards model has been a popular tool for relating the cause-specific outcomes to covariates [Prentice et al. Biometrics 34 (1978) 541--554]. This article studies an extension of this approach to allow a continuum of competing risks, in which the cause of failure is replaced by a continuous mark only observed at the failure time. We develop inference for the proportional hazards model in which the regression parameters depend nonparametrically on the mark and the baseline hazard depends nonparametrically on both time and mark. This work is motivated by the need to assess HIV vaccine efficacy, while taking into account the genetic divergence of infecting HIV viruses in trial participants from the HIV strain that is contained in the vaccine, and adjusting for covariate effects. Mark-specific vaccine efficacy is expressed in terms of one of the regression functions in the mark-specific proportional hazards model. The new approach is evaluated in simulations and applied to the first HIV vaccine efficacy trial.
Gilbert Peter B.
McKeague Ian W.
Sun Yanqing
No associations
LandOfFree
Proportional hazards models with continuous marks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Proportional hazards models with continuous marks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proportional hazards models with continuous marks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-652899