\f(x)= (2x) / (\Theta)^2 , (0

b) Find the MLE of \Theta and call it T2, find its mean and means-squared error

c) Among the estimators of the form aYn, where "a" is a constant which may depend on "n" and Yn=max{X1,....,Xn}, find estimator for \Theta which

has uniformly smallest mean-squared error. Call it T3. Find its mean and means- squared error.

d) Find the UMVUE of \Theta. Call it T4. Obtain its mean and means- squared error.

e) Let T5 = (Y1+Yn)/2, where Yn=max{X1,....,Xn} , Y1=min{X1,...,Xn}, find its mean and means- squared error

f) Which estimator would you use and why?

2x f(x; 0) == 02\(0,0)(x), 0 >0. 2x f(x; 0) == 02\(0,0)(x), 0 >0