Consider a random censorship model in which failure time t is exponential with failure rate λ…

Consider a random censorship model in which failure time t is exponential with failure rate λ and censoring time C is exponential with rate a. Let  and D be the number of failures. Show that (V, D) is sufficient for (λ, α). Show further that V and D are independent, that D is binomial with parameters η and  distribution with 2D degrees of freedom. Discuss how inference on λ may be carried out.