Suppose that you want to estimate the parameter of a binomial distribution B(n, ). Show that

Suppose that you want to estimate the parameter π of a binomial distribution B(n, π). Show that if the loss function is

then the Bayes rule corresponding to a uniform [i.e. Be(1, 1) I prior for n is given by d(x) = x for any x such that 0

Transcribed Image Text:

L(0, a) = (0 − a)² /{0(1 − 0)},