1.40 Consider the Bayes estimator of the binomial parameter using a beta prior distri- bution. a....

1.40 Consider the Bayes estimator of the binomial parameter π using a beta prior distri-

bution.

a. Show that the ML estimator is a limit of Bayes estimators, for a certain sequence of beta prior parameter values.

b. Find an improper prior density such that the Bayes estimator coincides with the ML estimator. (In this sense, the ML estimator is a generalized Bayes estimator.)