User jonathan - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T18:32:51Z http://mathoverflow.net/feeds/user/2877 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/9997/difference-between-beta-process-and-dirichlet-process/10011#10011 Answer by Jonathan for Difference between Beta Process and Dirichlet process Jonathan 2009-12-29T08:43:14Z 2009-12-29T08:43:14Z <p>I don't understand why you say that I can't conclude $X\sim BP(\alpha H_0)$. I showed above that if $X\sim DP(\alpha H_0)$ then for every partition $B_1...B_K$, $X(B_k)\sim Beta(\alpha H_0(B_k), \alpha(1-H_0(B_k)))$. By the definition of a Beta Process it follows that $X\sim BP(\alpha H_0)$. No?</p>