Prove Result 2 of Subsection 4.4.1 for randomized rules. (You may assume that all interchanges in orders of integration are legal.) Prove Result 4 of Subsection XXXXXXXXXXYou may assume that all...

Prove Result 2 of Subsection 4.4.1 for randomized rules. (You may assume that all interchanges in orders of integration are legal.)

Prove Result 4 of Subsection 4.4.2. (You may assume that all integrals exist.)

Show that, in estimation of a vector

under a quadratic loss

where Q is a (p x p) positive definite matrix, the Bayes estimator of 0 is

(You may assume that
  and all integrals involved exist.)