If {N(t), t 0} is a Poisson process with rate , verify that {Ns(t), t 0} satisfies

If {N(t), t 0} is a Poisson process with rate λ, verify that {Ns(t), t 0}

satisfies the axioms for being a Poisson process with rate λ, where Ns(t) =

N(s + t) − N(s).