For a continuously differentiable survival function (S(t)), the hazard function is defined as (h(t)=-frac{S^{prime}(t)}{S(t)}). Prove that (S(t)=exp

Question:

For a continuously differentiable survival function \(S(t)\), the hazard function is defined as \(h(t)=-\frac{S^{\prime}(t)}{S(t)}\). Prove that \(S(t)=\exp \left(-\int_{0}^{t} h(s) d s\right)\).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: