For a point process N(t) that is not simple, show that if t −1N(t) → 1/μ as t → ∞, then n−1Tn → μ, as n → ∞. Hint: For a fixed positive constant c, note that N((Tn −c)+) ≤ n ≤ N(T n ). Divide these...

For a point process N(t) that is not simple, show that if t −1N(t) → 1/μ as t → ∞, then n−1Tn → μ, as n → ∞. Hint: For a fixed positive constant c, note that N((Tn −c)+) ≤ n ≤ N(T_n). Divide these terms by Tn and take limits as n → ∞.