Answer Happy

I don't know how to solve b) d) e) f)
4. Let X,,,X, be a random sample of size n from a distribution with pdf f(x;7,0)=0-le=-), x>n. (8%) (a)Find the maximum likelihood estimate (MLE) Ô of O and MLEñ of 7. (8%) (b)Show that ô and û are independent. (8%) (C)Find the uniformly minimum variance unbiased estimate of n. (8%) (d)Find a 1-a confidence interval of O by pivotal methods. (8%) (e)Find the distribution of (n-1)(x,-1)/, where x, -min(x,,,X,). (8%) (1)Find the critical region for a size a generalized likelihood ratio test of H:n 577. versus H,:n > no.