Hints: Left-truncated survival times

a) Derive the conditional survival function \( S(t \mid v) = P(T > t \mid T > v)\) , and use this to find the hazard rate of the
truncated survival time.

b) Consider the conditional distribution of \( T \) given \(T > v \) .

Solution: To get a detailed solution of the problem, see the link at the bottom of this page.