Suppose X1,..., Xn are i.i.d. and uniformly distributed on (0, ). Let p(x) = 1 I{0 <

Suppose X1,..., Xn are i.i.d. and uniformly distributed on (0, θ).

Let pθ(x) = θ−1 I{0 < x < θ} and Ln(θ) = 

i pθ(Xi). Fix p and θ0. Determine the limiting behavior of Ln(θ0 + hn−p)/Ln(θ0) under θ0. For what p and h is the limiting distribution nondegenerate?