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Oct 21, 2002 - Part II will deal with a special theory for exponential family mixtures. 1. Introduction. ... Statistical problems such as existence, discreteness, support size charac- ... (1.1) (a) the 6; are distinct elements of S2, (b) ;> 0 for allj, (c) 7; = 1. ..... (w, fe) sn and so could be solved using convex programming techniques.