No. 6 Let X 1,X2, . . . , X\

No. 6 Let Xl, X2, ... , Xn be random variables with a normal distribution N (O, 1), and let (E, El) be a parameter space for E > O small enough. Assume that the true value of O, say 00, is in the parameter space: 00 e e. (1) (2) (3) Give the MLE for 00. Show the log likelihood of (Xl, ... , Xn) converges in probability uniformly in O e e. Give the asymptotic distribution of v/FL(On 00).