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September 25th, 2008, 02:18 AM  #1 
Newbie Joined: Sep 2008 Posts: 1 Thanks: 0  Please help what term to use
Please help what term to use for the following issue. Given a set X = { x1, x2, ..., x_n } and a probability distribution on it P (X) = { p (x1), p (x2), ..., p (x_n) }. Given a division of the set ? on nonoverlapping subsets ?1, ?2, ... ?_m, so: X1 U X2 U ... U X_m = X Is there a term for the probability distribution on the set of the subsets X' = { X1, X2, ..., X_m }: P (X') = { p (X1), p (X2), ..., p (?_m) }, where p (Xi)  the sum of probabilities of all x in Xi? Thank you in advance. 
September 25th, 2008, 08:29 AM  #2 
Senior Member Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3  Re: Please help what term to use
I'm not sure entirely. If X1, ..., Xm partition X, then the total probability is still 1. I don't know if there's a special term for the other probability distribution. 

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