Population hazard of a survival mixture
= Population hazard of a survival mixture
{title2=$\overline h(t)=\frac{\sum_iF_i(t)h_i(t)}{\sum_iF_i(t)}$}
= Mixture hazard
{synonym}
For an equally weighted mixture of individual <survivor functions> $F_i$, the population <hazard function> is $\overline h(t)=\sum_i F_i(t)h_i(t)/\sum_i F_i(t)$. Thus the weights are the surviving proportions, and the <cumulative hazard function> is $-\log(n^{-1}\sum_i e^{-H_i(t)})$, not generally the mean individual integrated hazard.