題組內容

7. (15%) Hazard function is usually employed in the study of survival analysis. The hazard function of a positive random variable X is defined as: \[ \lambda(t) = \frac{f(t)}{1 - F(t)} , t > 0 \] f(t) and F(t) represent the p.d.f. and c.d.f of X respectively. Generally, defining S(t)=1-F(t) as survival function being



(1) \( (5\%) \) Explain the meaning of "hazard function".