Cumulative incidence of treatment initiation prior to acquired immunodeficiency syndrome (AIDS) or death (A and B) and the cumulative incidence of AIDS or death prior to treatment (C and D) by injection drug use status and type of cumulative incidence (cause-specific, A and C; subdistribution, B and D; csPH, from proportional cause-specific hazards model; sdPH, from proportional subdistribution hazards model). The mixture model comprised a lognormal distribution for initiation of treatment and a generalized-gamma distribution for the time to AIDS or death prior to treatment initiation. CI, confidence interval; csRH, cause-specific relative hazard; HAART, highly active antiretroviral therapy; IDU, injection drug use; sdRH, subdistribution relative hazard.