83. Suppose that {N0(t), t 0} is a Poisson process with rate = 1. Let (t)

83. Suppose that {N0(t), t 0} is a Poisson process with rate λ = 1. Let λ(t)

denote a nonnegative function of t, and let m(t) =

 t 0

λ(s)ds Define N(t) by N(t) = N0(m(t))

Argue that {N(t),t 0} is a nonhomogeneous Poisson process with intensity function λ(t),t 0.