Prove that a continuous function h(t) ≥ 0 is DRI if and only if Iδ(h) 0The next eight exercises concern the renewal process trinity: the backward and forward recurrence times A(t) = t − TN(t), B(t) =...

Prove that a continuous function h(t) ≥ 0 is DRI if and only if Iδ(h) <> 0The next eight exercises concern the renewal process trinity: the backward and forward recurrence times A(t) = t − TN(t), B(t) = TN(t)+1 − t, and the length L(t) = ξN(t)+1 = A(t) + B(t) of the renewal interval containing t. Assume the inter-renewal distribution is non-arithmetic.