I'm trying to find the posterior Bayes Estimator for a prior . The distribution for is , with is unknown.
I found the multivariate density to be
I get for the posterior Bayes:
I could expand the exponent again to make the denominator look like a normal distribution and then integrate to get it equal to and then have the identical normal density in the numerator. That would then give me .
Does that look right? Where would the part about the prior being improper come in?