Question

Consider the log logistic CDF F(t)=1/(1+(t/α)^-β)

Find f(t), S(t), h(t), and H(t).
It can be shown that h(t) can be non-monotone for some parameter choices. For these choices, it starts off at 0 for t=0, increases fairly rapidly to a maximum, and then gradually asymptotes out to 0 as t goes to infinity. Briefly describe in words what this would mean to a patient if T was the survival time after contracting a disease.

Answer 1