31 Regularity Conditions i.00 lies in the interior of which is assumed to be a compact subset of Rk. i.logp(x;0)is continuous at each0∈Θfor all x∈X(a.e.will suffice). ii.|logp(x;f)川≤d(x)for all0∈Θand Eo[d(X)】<o. iv.p(x;0)is twice continuously differentiable and p(x;0)>0 in a neighborhood,N,of 00. v.‖pgPI‖≤e(c)for all0∈Nand∫e(r)du(c)<o.31 Regularity Conditions i. θ0 lies in the interior of Θ, which is assumed to be a compact subset of Rk. ii. log p(x; θ) is continuous at each θ ∈ Θ for all x ∈ X (a.e. will suffice). iii. | log p(x; θ)| ≤ d(x) for all θ ∈ Θ and Eθ0 [d(X)] < ∞. iv. p(x; θ) is twice continuously differentiable and p(x; θ) > 0 in a neighborhood, N , of θ0. v.  ∂p(x;θ) ∂θ  ≤ e(x) for all θ ∈ N and
e(x)dµ(x) < ∞