Stat Med. 1997 Apr 30;16(8):901-10. Unique Identifier : AIDSLINE
In the competing risks problem, a useful quantity is the cumulative
incidence function, which is the probability of occurrence by time t for
a particular type of failure in the presence of other risks. The
estimator of this function as given by Kalbfleisch and Prentice is
consistent, and, properly normalized, converges weakly to a zero-mean
Gaussian process with a covariance function for which a consistent
estimator is provided. A resampling technique is developed to
approximate the distribution of this process, which enables one to
construct confidence bands for the cumulative incidence curve over the
entire time span of interest and to perform Kolmogorov-Smirnov type
tests for comparing two such curves. An AIDS example is provided.
*Nonlinear Dynamics *Risk *Survival Rate