49 .V(0o)in (3)is an asymptotic variance,whereas (1)refers to the actual variance of 6(Xn). For a long time,it was believed that the regularity conditions needed to make (3)hold involved regularity conditions on the density p(x;0).This belief was exploded by Hodges.49 • V (θ0) in (3) is an asymptotic variance, whereas (1) refers to the actual variance of δ(Xn). For a long time, it was believed that the regularity conditions needed to make (3) hold involved regularity conditions on the density p(x; θ). This belief was exploded by Hodges