The questions are below:

a) Recall the definition of the exponential family and show that (Xx) KEN forms an exponential family. b) Let X1, ..., Xn be i.i.d. xz-distributed. Find a minimal sufficient statistics T for k. c) Find an estimator for k by use of the method of moments. Calculate its mean square error. d) How can you apply b) to find a uniformly better estimator than the one you found in c)