Consider a study population at risk of three competing events. The explicit expres- sion for the joint survival function for the three competing risks events is given by: S(t1, t2, t3) = exp((1t1 2t2 2 3t3 3)) , 1 where T1, T2 and T3 represent the times to the respective events, and 1 > 0, 2 > 0, and 3 > 0 are the cause-specific hazard rate parameters. Let T = min(T1, T2, T3) represent the time until the occurrence of any event among the three competing risks