Resumen de Strong approximations for dependent competing risks with independent censoring

Ségolen Geffray

• We deal with the problem of dependent competing risks in presence of independent right-censoring. The Aalen–Johansen estimator for the cause-specific subdistribution functions is considered. We obtain strong approximations by Gaussian processes which are valid up to a certain order statistic of the observations. We derive two LIL-type results and asymptotic confidence bands.