13 Now for any 0,we distinguish between two cases. Case1:0∈Θ∩Θ(e)c. Let An be the event that supon()(;Xn)-Qo(0)<8/2. Then, An→Q(0;Xn)<Qo(0)+6/2 ≤Qo(θ*)+6/2 =Qo(0o)-δ+δ/2 =Qo(0o)-δ/213 Now for any θ, we distinguish between two cases. Case 1: θ ∈ Θ ∩ Θ()C . Let An be the event that supθ∈Θ∩Θ()C |Q(θ; Xn) − Q0(θ)| < δ/2. Then, An ⇒Q(θ; Xn) < Q0(θ) + δ/2 ≤ Q0(θ∗) + δ/2 = Q0(θ0) − δ + δ/2 = Q0(θ0) − δ/2