NEED TO LEARN THE STEPS TO SOLVING EACH PROBLEM

Question 1 Let X ~ f where f (x;0) =-2: where 0 > 0 is unknown. Let (X1, X2, ..., X,) be a random sample of X. (a) Find a sufficient statistic of 0. (b) Find the maximum likelihood estimator OMLE (c) Find the mean squared error of OMLE (d) Is OMLE efficient for 0? (e) Find a constant c such that coMLE is an unbiased estimator. (f) Find the mean squared error of coMLE (g) Is COMLE efficient for 0?Question 2 Let X ~ f where f (xx; 0) = 625 06 : where 0 > 0 is unknown. Let (X1, X2, ..., Xn) be a random sample of X. (a) Find the method of moments estimator OMME (b) Find the maximum likelihood estimator OMLE (c) Find the mean squared error of OMME (d) Find the mean squared error of OMLE (e) Which estimator OMME or OMLE is better