Date: Feb 18, 2013 5:34 AM
Author: cagdas.ozgenc@gmail.com
Subject: Trying to understand Bayes and Hypothesis

Hello,

I am confused with the usage of Bayes with model selection.

I frequently see the following notation:

P(H | D) = P(D | H)*P(H) / P(D) where H is hypothesis and D is data.

It's Bayes rule. What I don't understand is the following. If in reality D ~ N(m,v) and my hypothesis is that D ~ (m',v) where m is different from m' and if all hypothesis are equally likely

P(D) = sum P(D|H)*P(H)dH is not equal to true P(D), or is it?