Abstract

De Finetti-type theorems in a more general sense state that a certain convex set of probability distributions on an infinite product space, defined by symmetry conditions, is a simplex, and give a description, of its extreme points. In the classical examples these are homogeneous product measures. Motivated by work of Diaconiset al.(4) we describe a general method to obtain certain nonhomogeneous product measures as extreme solutions to the defining symmetry equations, and give examples.

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