Determine the Jeffreys non informative prior for the unknown vector of parameters in each of the following distributions: (a)   (b)   (both a and  unknown). Consider the situation of Example 15 in...

Determine the Jeffreys non informative prior for the unknown vector of parameters in each of the following distributions:

(a)

(b)
  (both a and
 unknown).

Consider the situation of Example 15 in Subsection 1.6.4. Assume that use of different priors, with the likelihood

⁹(1-)³, would result in different answers. Show that use of the Jeffreys noninformative prior can violate the Likelihood Principle (see Exercise 12(b), (c)).