Suppose that events occur according to a nonhomogeneous Poisson process with intensity function (t), t > 0.

Suppose that events occur according to a nonhomogeneous Poisson process with intensity function λ(t), t > 0. Further, suppose that an event that occurs at time s is a type 1 event with probability p(s), s > 0. If N1(t) is the number of type 1 events by time t , what type of process is {N1(t ), t ≥ 0}?